関数
>
画像処理
>
セグメント化
>
例: 領域拡張
例: 領域拡張
reg_grow
関数は、領域拡張アルゴリズムを使用して、画像を同種で接続された領域に分割します。領域ベースのセグメント化を使用して、輝度やテクスチャなど、画像内の同種の特性を備えた領域がグループ化されます。
この例の使用方法については、
画像処理の例について
を参照してください。
1.
いくつかの四角形のボックスから成る次のような画像を作成します。
<region id="ID0E1VD4" top="172.8" left="19.200000000000003" xml:lang="ja" height="25.6" width="68.29" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="117" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">i</id> <range xml:lang="ja"> <real xml:lang="ja">0</real> <real xml:lang="ja">79</real> </range> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EMWD4" top="172.8" left="115.20000000000002" xml:lang="ja" height="25.6" width="69.433333333333337" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="119" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">j</id> <range xml:lang="ja"> <real xml:lang="ja">0</real> <real xml:lang="ja">99</real> </range> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0E5WD4" top="172.8" left="211.20000000000005" xml:lang="ja" height="36.800000000000004" width="61.646666666666675" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="121" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="ja"> <indexer xml:lang="ja" /> <id labels="*" xml:space="preserve" xml:lang="ja">M</id> <sequence xml:lang="ja"> <id labels="*" xml:space="preserve" xml:lang="ja">i</id> <id labels="*" xml:space="preserve" xml:lang="ja">j</id> </sequence> </apply> <real xml:lang="ja">0</real> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0E5YD4" top="211.20000000000005" left="19.200000000000003" xml:lang="ja" height="25.6" width="68.29" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="123" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">i</id> <range xml:lang="ja"> <real xml:lang="ja">0</real> <real xml:lang="ja">19</real> </range> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EXZD4" top="249.60000000000002" left="19.200000000000003" xml:lang="ja" height="25.6" width="76.27000000000001" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="129" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">i</id> <range xml:lang="ja"> <real xml:lang="ja">20</real> <real xml:lang="ja">60</real> </range> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EQ1D4" top="288.00000000000006" left="19.200000000000003" xml:lang="ja" height="25.6" width="76.27000000000001" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="135" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">i</id> <range xml:lang="ja"> <real xml:lang="ja">60</real> <real xml:lang="ja">79</real> </range> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EM2D4" top="211.20000000000005" left="115.20000000000002" xml:lang="ja" height="25.6" width="69.433333333333337" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="125" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">j</id> <range xml:lang="ja"> <real xml:lang="ja">0</real> <real xml:lang="ja">19</real> </range> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EF3D4" top="249.60000000000002" left="115.20000000000002" xml:lang="ja" height="25.6" width="77.413333333333341" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="131" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">j</id> <range xml:lang="ja"> <real xml:lang="ja">20</real> <real xml:lang="ja">80</real> </range> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0E53D4" top="288.00000000000006" left="115.20000000000002" xml:lang="ja" height="25.6" width="69.433333333333337" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="137" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">j</id> <range xml:lang="ja"> <real xml:lang="ja">0</real> <real xml:lang="ja">19</real> </range> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0E14D4" top="211.20000000000005" left="211.20000000000005" xml:lang="ja" height="36.800000000000004" width="61.646666666666675" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="127" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="ja"> <indexer xml:lang="ja" /> <id labels="*" xml:space="preserve" xml:lang="ja">M</id> <sequence xml:lang="ja"> <id labels="*" xml:space="preserve" xml:lang="ja">i</id> <id labels="*" xml:space="preserve" xml:lang="ja">j</id> </sequence> </apply> <real xml:lang="ja">4</real> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0ET5D4" top="249.60000000000002" left="211.20000000000005" xml:lang="ja" height="36.800000000000004" width="61.646666666666675" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="133" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="ja"> <indexer xml:lang="ja" /> <id labels="*" xml:space="preserve" xml:lang="ja">M</id> <sequence xml:lang="ja"> <id labels="*" xml:space="preserve" xml:lang="ja">i</id> <id labels="*" xml:space="preserve" xml:lang="ja">j</id> </sequence> </apply> <real xml:lang="ja">1</real> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EM6D4" top="288.00000000000006" left="211.20000000000005" xml:lang="ja" height="36.800000000000004" width="61.646666666666675" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="139" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="ja"> <indexer xml:lang="ja" /> <id labels="*" xml:space="preserve" xml:lang="ja">M</id> <sequence xml:lang="ja"> <id labels="*" xml:space="preserve" xml:lang="ja">i</id> <id labels="*" xml:space="preserve" xml:lang="ja">j</id> </sequence> </apply> <real xml:lang="ja">5</real> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EIAE4" top="326.40000000000003" left="19.200000000000003" xml:lang="ja" height="25.6" width="76.27000000000001" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="141" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">i</id> <range xml:lang="ja"> <real xml:lang="ja">30</real> <real xml:lang="ja">50</real> </range> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EBBE4" top="364.80000000000007" left="19.200000000000003" xml:lang="ja" height="25.6" width="68.29" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="147" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">i</id> <range xml:lang="ja"> <real xml:lang="ja">0</real> <real xml:lang="ja">19</real> </range> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0E1BE4" top="403.20000000000005" left="19.200000000000003" xml:lang="ja" height="25.6" width="76.27000000000001" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="153" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">i</id> <range xml:lang="ja"> <real xml:lang="ja">60</real> <real xml:lang="ja">79</real> </range> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EWCE4" top="326.40000000000003" left="115.20000000000002" xml:lang="ja" height="25.6" width="77.413333333333341" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="143" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">j</id> <range xml:lang="ja"> <real xml:lang="ja">40</real> <real xml:lang="ja">60</real> </range> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EPDE4" top="364.80000000000007" left="115.20000000000002" xml:lang="ja" height="25.6" width="77.413333333333341" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="149" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">j</id> <range xml:lang="ja"> <real xml:lang="ja">80</real> <real xml:lang="ja">99</real> </range> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EIEE4" top="403.20000000000005" left="115.20000000000002" xml:lang="ja" height="25.6" width="77.413333333333341" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="155" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">j</id> <range xml:lang="ja"> <real xml:lang="ja">80</real> <real xml:lang="ja">99</real> </range> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EDFE4" top="326.40000000000003" left="211.20000000000005" xml:lang="ja" height="36.800000000000004" width="61.646666666666675" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="145" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="ja"> <indexer xml:lang="ja" /> <id labels="*" xml:space="preserve" xml:lang="ja">M</id> <sequence xml:lang="ja"> <id labels="*" xml:space="preserve" xml:lang="ja">i</id> <id labels="*" xml:space="preserve" xml:lang="ja">j</id> </sequence> </apply> <real xml:lang="ja">2</real> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0E2FE4" top="364.80000000000007" left="211.20000000000005" xml:lang="ja" height="36.800000000000004" width="61.646666666666675" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="151" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="ja"> <indexer xml:lang="ja" /> <id labels="*" xml:space="preserve" xml:lang="ja">M</id> <sequence xml:lang="ja"> <id labels="*" xml:space="preserve" xml:lang="ja">i</id> <id labels="*" xml:space="preserve" xml:lang="ja">j</id> </sequence> </apply> <real xml:lang="ja">6</real> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0ETGE4" top="403.20000000000005" left="211.20000000000005" xml:lang="ja" height="36.800000000000004" width="61.646666666666675" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="157" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="ja"> <indexer xml:lang="ja" /> <id labels="*" xml:space="preserve" xml:lang="ja">M</id> <sequence xml:lang="ja"> <id labels="*" xml:space="preserve" xml:lang="ja">i</id> <id labels="*" xml:space="preserve" xml:lang="ja">j</id> </sequence> </apply> <real xml:lang="ja">3</real> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
2.
runif
関数を使用して、[-0.1 0.1] 内に一様に分布するノイズを付加します。ノイズの平均値はほぼゼロになります。
<region id="ID0E4IE4" top="480.00000000000006" left="19.200000000000003" xml:lang="ja" height="25.6" width="208.46000000000004" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="159" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">noise</id> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">runif</id> <sequence xml:lang="ja"> <real xml:lang="ja">8000</real> <real xml:lang="ja">-0.1</real> <real xml:lang="ja">0.1</real> </sequence> </apply> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EPJE4" top="518.40000000000009" left="19.200000000000003" xml:lang="ja" height="25.6" width="155.71" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="161" xml:lang="ja"> <eval xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">mean</id> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">noise</id> </apply> <unitOverride xml:lang="ja"> <placeholder xml:lang="ja" /> </unitOverride> </eval> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EBKE4" top="556.80000000000007" left="19.200000000000003" xml:lang="ja" height="25.6" width="68.29" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="163" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">i</id> <range xml:lang="ja"> <real xml:lang="ja">0</real> <real xml:lang="ja">79</real> </range> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0ETKE4" top="556.80000000000007" left="96.000000000000014" xml:lang="ja" height="25.6" width="69.433333333333337" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="165" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">j</id> <range xml:lang="ja"> <real xml:lang="ja">0</real> <real xml:lang="ja">99</real> </range> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EFLE4" top="556.80000000000007" left="172.8" xml:lang="ja" height="36.800000000000004" width="127.21666666666667" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="167" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="ja"> <indexer xml:lang="ja" /> <id labels="*" xml:space="preserve" xml:lang="ja">N</id> <sequence xml:lang="ja"> <id labels="*" xml:space="preserve" xml:lang="ja">i</id> <id labels="*" xml:space="preserve" xml:lang="ja">j</id> </sequence> </apply> <apply xml:lang="ja"> <indexer xml:lang="ja" /> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">noise</id> <apply xml:lang="ja"> <plus xml:lang="ja" /> <apply xml:lang="ja"> <mult xml:lang="ja" /> <id xml:space="preserve" xml:lang="ja">i</id> <real xml:lang="ja">100</real> </apply> <id xml:space="preserve" xml:lang="ja">j</id> </apply> </apply> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EXLE4" top="595.2" left="19.200000000000003" xml:lang="ja" height="25.6" width="81.576666666666668" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="169" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">M</id> <apply xml:lang="ja"> <plus xml:lang="ja" /> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">M</id> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">N</id> </apply> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
3.
scale
関数を使用して、画像を尺度化し、
WRITEBMP
関数を使用して、画像をファイルに保存します。画像を表示します。
<region id="ID0EUOE4" top="691.2" left="19.200000000000003" xml:lang="ja" height="25.6" width="76.88333333333334" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="171" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">m</id> <range xml:lang="ja"> <real xml:lang="ja">0</real> <real xml:lang="ja">79</real> </range> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EGPE4" top="691.2" left="115.20000000000002" xml:lang="ja" height="25.6" width="72.5" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="173" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">n</id> <range xml:lang="ja"> <real xml:lang="ja">0</real> <real xml:lang="ja">99</real> </range> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EYPE4" top="729.60000000000014" left="19.200000000000003" xml:lang="ja" height="25.6" width="145.37666666666669" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="175" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">Z</id> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">scale</id> <sequence xml:lang="ja"> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">M</id> <real xml:lang="ja">0</real> <real xml:lang="ja">255</real> </sequence> </apply> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EKQE4" top="768.00000000000011" left="19.200000000000003" xml:lang="ja" height="25.6" width="295.97666666666669" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="177" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja">Pix</id> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">WRITEBMP</id> <sequence xml:lang="ja"> <str xml:space="preserve" xml:lang="ja">reg_grow_s.bmp</str> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">Z</id> </sequence> </apply> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
(reg_grow_s.bmp)
4.
領域拡張アルゴリズムを使用します。
<region id="ID0E1SE4" top="1056.0000000000002" left="19.200000000000003" xml:lang="ja" height="25.6" width="102.86000000000001" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="179" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">x_gridsize</id> <real xml:lang="ja">2</real> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EMTE4" top="1094.4" left="19.200000000000003" xml:lang="ja" height="25.6" width="102.67000000000002" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="181" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">y_gridsize</id> <real xml:lang="ja">2</real> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0E5TE4" top="1132.8000000000002" left="19.200000000000003" xml:lang="ja" height="25.6" width="130.51000000000002" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="183" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">num_regions</id> <real xml:lang="ja">10</real> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EQUE4" top="1171.2000000000003" left="19.200000000000003" xml:lang="ja" height="25.6" width="195.96333333333337" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="185" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">M1</id> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">reg_grow</id> <sequence xml:lang="ja"> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">M</id> <real xml:lang="ja">2</real> <real xml:lang="ja">2</real> <real xml:lang="ja">10</real> </sequence> </apply> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
5.
個々の領域を区別するため、出力を偽色で表示します。
<region id="ID0EFWE4" top="1267.2000000000003" left="19.200000000000003" xml:lang="ja" height="25.6" width="175.40333333333334" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="187" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">SM1</id> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">scale</id> <sequence xml:lang="ja"> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">M1</id> <real xml:lang="ja">0</real> <real xml:lang="ja">255</real> </sequence> </apply> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EXWE4" top="1305.6000000000001" left="19.200000000000003" xml:lang="ja" height="25.6" width="339.65666666666669" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="189" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja">Pix</id> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">WRITEBMP</id> <sequence xml:lang="ja"> <str xml:space="preserve" xml:lang="ja">reg_grow_sm1.bmp</str> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">SM1</id> </sequence> </apply> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
(reg_grow_sm1.bmp)
6.
gray_to_rgb
関数を使用して、グレー画像をカラーに変換します。個々の領域を区別するため、出力を偽色で表示します。
<region id="ID0E3ZE4" top="1478.4000000000003" left="19.200000000000003" xml:lang="ja" height="129.84" width="211.87" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="191" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">specmap</id> <matrix rows="256" cols="4" xml:lang="ja"> <display size="5,4" xml:lang="ja" /> <real xml:lang="ja">0</real> <real xml:lang="ja">1</real> <real xml:lang="ja">2</real> <real xml:lang="ja">3</real> <real xml:lang="ja">4</real> <real xml:lang="ja">5</real> <real xml:lang="ja">6</real> <real xml:lang="ja">7</real> <real xml:lang="ja">8</real> <real xml:lang="ja">9</real> <real xml:lang="ja">10</real> <real xml:lang="ja">11</real> <real xml:lang="ja">12</real> <real xml:lang="ja">13</real> <real xml:lang="ja">14</real> <real xml:lang="ja">15</real> <real xml:lang="ja">16</real> <real xml:lang="ja">17</real> <real xml:lang="ja">18</real> <real xml:lang="ja">19</real> <real xml:lang="ja">20</real> <real xml:lang="ja">21</real> <real xml:lang="ja">22</real> <real xml:lang="ja">23</real> <real xml:lang="ja">24</real> <real xml:lang="ja">25</real> <real xml:lang="ja">26</real> <real xml:lang="ja">27</real> <real xml:lang="ja">28</real> <real xml:lang="ja">29</real> <real xml:lang="ja">30</real> <real xml:lang="ja">31</real> <real xml:lang="ja">32</real> <real xml:lang="ja">33</real> <real xml:lang="ja">34</real> <real xml:lang="ja">35</real> <real xml:lang="ja">36</real> <real xml:lang="ja">37</real> <real xml:lang="ja">38</real> <real xml:lang="ja">39</real> <real xml:lang="ja">40</real> <real xml:lang="ja">41</real> <real xml:lang="ja">42</real> <real xml:lang="ja">43</real> <real xml:lang="ja">44</real> <real xml:lang="ja">45</real> <real xml:lang="ja">46</real> <real xml:lang="ja">47</real> <real xml:lang="ja">48</real> <real xml:lang="ja">49</real> <real xml:lang="ja">50</real> <real xml:lang="ja">51</real> <real xml:lang="ja">52</real> <real xml:lang="ja">53</real> <real xml:lang="ja">54</real> <real xml:lang="ja">55</real> <real xml:lang="ja">56</real> <real xml:lang="ja">57</real> <real xml:lang="ja">58</real> <real xml:lang="ja">59</real> <real xml:lang="ja">60</real> <real xml:lang="ja">61</real> <real xml:lang="ja">62</real> <real xml:lang="ja">63</real> <real xml:lang="ja">64</real> <real xml:lang="ja">65</real> <real xml:lang="ja">66</real> <real xml:lang="ja">67</real> <real xml:lang="ja">68</real> <real xml:lang="ja">69</real> <real xml:lang="ja">70</real> <real xml:lang="ja">71</real> <real xml:lang="ja">72</real> <real xml:lang="ja">73</real> <real xml:lang="ja">74</real> <real xml:lang="ja">75</real> <real xml:lang="ja">76</real> <real xml:lang="ja">77</real> <real xml:lang="ja">78</real> <real xml:lang="ja">79</real> <real xml:lang="ja">80</real> <real xml:lang="ja">81</real> <real xml:lang="ja">82</real> <real xml:lang="ja">83</real> <real xml:lang="ja">84</real> <real 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xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> </matrix> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EO1E4" top="1555.2000000000003" left="19.200000000000003" xml:lang="ja" height="25.6" width="269.34000000000003" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="193" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">col_reg</id> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">gray_to_rgb</id> <sequence xml:lang="ja"> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">SM1</id> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">specmap</id> </sequence> </apply> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EA2E4" top="1593.6000000000001" left="19.200000000000003" xml:lang="ja" height="25.6" width="362.8" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="195" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja">Pix</id> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">WRITERGB</id> <sequence xml:lang="ja"> <str xml:space="preserve" xml:lang="ja">reg_grow_sm1c.bmp</str> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">col_reg</id> </sequence> </apply> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
(reg_grow_sm1c.bmp)
7.
アルゴリズムによって検出された領域数を確認し、
imhist
関数を使用してヒストグラムに目を通します。
<region id="ID0EG5E4" top="1824.0000000000002" left="19.200000000000003" xml:lang="ja" height="25.6" width="105.31" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="197" xml:lang="ja"> <eval xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="ja"> <id xml:space="preserve" xml:lang="ja">min</id> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">M1</id> </apply> <unitOverride xml:lang="ja"> <placeholder xml:lang="ja" /> </unitOverride> </eval> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EY5E4" top="1862.4000000000003" left="19.200000000000003" xml:lang="ja" height="25.6" width="114.86" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="199" xml:lang="ja"> <eval xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">max</id> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">M1</id> </apply> <unitOverride xml:lang="ja"> <placeholder xml:lang="ja" /> </unitOverride> </eval> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EK6E4" top="1900.8000000000002" left="19.200000000000003" xml:lang="ja" height="25.6" width="150.0266666666667" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="201" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">H</id> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">imhist</id> <sequence xml:lang="ja"> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">M1</id> <real xml:lang="ja">256</real> </sequence> </apply> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0E36E4" top="1939.2000000000003" left="19.200000000000003" xml:lang="ja" height="48.27000000000001" width="458.30333333333334" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="203" xml:lang="ja"> <eval xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="ja"> <transpose xml:lang="ja" /> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">H</id> </apply> <unitOverride xml:lang="ja"> <placeholder xml:lang="ja" /> </unitOverride> </eval> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
面積が 400 の領域が 5 つあります。そのほかの領域の面積と数も、入力行列と同じになっています。
8.
このセグメント化を、人間の頭部の MRI 画像に適用します。
<region id="ID0EWBF4" top="2054.4" left="19.200000000000003" xml:lang="ja" height="25.6" width="253.36" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="205" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">head</id> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">READ_IMAGE</id> <str xml:space="preserve" xml:lang="ja">brain.gif</str> </apply> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EICF4" top="2092.8" left="19.200000000000003" xml:lang="ja" height="25.6" width="118.62666666666667" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="207" xml:lang="ja"> <eval xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">rows</id> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">head</id> </apply> <unitOverride xml:lang="ja"> <placeholder xml:lang="ja" /> </unitOverride> </eval> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0E1CF4" top="2131.2000000000003" left="19.200000000000003" xml:lang="ja" height="25.6" width="112.21666666666667" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="209" xml:lang="ja"> <eval xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">cols</id> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">head</id> </apply> <unitOverride xml:lang="ja"> <placeholder xml:lang="ja" /> </unitOverride> </eval> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
9.
submatrix
関数を使用して、行数が奇数にならないように、画像から先頭の 256 行を抽出します。
<region id="ID0EEFF4" top="2208.0000000000005" left="19.200000000000003" xml:lang="ja" height="25.6" width="249.56666666666672" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="211" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">T</id> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">submatrix</id> <sequence xml:lang="ja"> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">head</id> <real xml:lang="ja">0</real> <real xml:lang="ja">255</real> <real xml:lang="ja">0</real> <real xml:lang="ja">255</real> </sequence> </apply> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EWFF4" top="2246.4000000000005" left="19.200000000000003" xml:lang="ja" height="25.6" width="96.433333333333337" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="213" xml:lang="ja"> <eval xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">rows</id> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">T</id> </apply> <unitOverride xml:lang="ja"> <placeholder xml:lang="ja" /> </unitOverride> </eval> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EIGF4" top="2284.8" left="19.200000000000003" xml:lang="ja" height="25.6" width="90.023333333333326" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="215" xml:lang="ja"> <eval xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">cols</id> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">T</id> </apply> <unitOverride xml:lang="ja"> <placeholder xml:lang="ja" /> </unitOverride> </eval> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0E1GF4" top="2323.2000000000003" left="19.200000000000003" xml:lang="ja" height="25.6" width="269.21" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="217" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja">Pix</id> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">WRITEBMP</id> <sequence xml:lang="ja"> <str xml:space="preserve" xml:lang="ja">brain_t.bmp</str> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">T</id> </sequence> </apply> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
10.
この画像の最初の 2 x 2 の区間から始めて 20 個の領域になるように、領域拡張処理を実行します。
<region id="ID0EPIF4" top="2400.0000000000005" left="19.200000000000003" xml:lang="ja" height="25.6" width="187.25000000000003" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="219" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">T1</id> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">reg_grow</id> <sequence xml:lang="ja"> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">T</id> <real xml:lang="ja">2</real> <real xml:lang="ja">2</real> <real xml:lang="ja">20</real> </sequence> </apply> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
11.
セグメント化されて尺度化された画像の横に元の画像を表示します。
<region id="ID0EEKF4" top="2496.0000000000005" left="19.200000000000003" xml:lang="ja" height="47.2" width="224.94000000000006" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="221" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">T1s</id> <apply xml:lang="ja"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <apply xml:lang="ja"> <minus xml:lang="ja" /> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">T1</id> <apply xml:lang="ja"> <id xml:space="preserve" xml:lang="ja">min</id> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">T1</id> </apply> </apply> <apply xml:lang="ja"> <minus xml:lang="ja" /> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">max</id> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">T1</id> </apply> <apply xml:lang="ja"> <id xml:space="preserve" xml:lang="ja">min</id> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">T1</id> </apply> </apply> </apply> <real xml:lang="ja">255</real> </apply> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EWKF4" top="2553.6000000000004" left="19.200000000000003" xml:lang="ja" height="25.6" width="297.81" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="223" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja">Pix</id> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">WRITEBMP</id> <sequence xml:lang="ja"> <str xml:space="preserve" xml:lang="ja">brain_t1s.bmp</str> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">T1s</id> </sequence> </apply> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
(brain_t.bmp)
(brain_t1s.bmp)
12.
セグメント化された画像で、値が選択した
spoint
と同じすべての点を選択します。
<region id="ID0EZPF4" top="3014.4000000000005" left="19.200000000000003" xml:lang="ja" height="25.6" width="83.616666666666674" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="225" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">spoint</id> <real xml:lang="ja">54</real> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0ELQF4" top="3052.8000000000006" left="19.200000000000003" xml:lang="ja" height="29.6" width="192.62666666666667" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="227" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">T2</id> <apply xml:lang="ja"> <vectorize xml:lang="ja" /> <parens xml:lang="ja"> <apply xml:lang="ja"> <equal xml:lang="ja" /> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">round</id> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">T1s</id> </apply> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">spoint</id> </apply> </parens> </apply> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0E4QF4" top="3091.2000000000003" left="19.200000000000003" xml:lang="ja" height="25.6" width="317.99333333333328" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="229" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja">Pix</id> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">WRITEBMP</id> <sequence xml:lang="ja"> <str xml:space="preserve" xml:lang="ja">brain_t2.bmp</str> <apply xml:lang="ja"> <mult xml:lang="ja" /> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">T2</id> <real xml:lang="ja">255</real> </apply> </sequence> </apply> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
T2
は 2 値画像です。
(brain_t2.bmp)
13.
mask
関数を使用し、
T2
をマスクとして使用して、元の画像から脳の領域を抽出します。
<region id="ID0ERUF4" top="3552.0000000000005" left="19.200000000000003" xml:lang="ja" height="25.6" width="205.78000000000003" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="231" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="ja">brain_extract</id> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">mask</id> <sequence xml:lang="ja"> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">T</id> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">T2</id> </sequence> </apply> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EDVF4" top="3590.4000000000005" left="19.200000000000003" xml:lang="ja" height="25.6" width="396.02000000000004" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="233" xml:lang="ja"> <define xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja">Pix</id> <apply xml:lang="ja"> <id labels="FUNCTION" xml:space="preserve" xml:lang="ja" label-is-contextual="true">WRITEBMP</id> <sequence xml:lang="ja"> <str xml:space="preserve" xml:lang="ja">brain_extract.bmp</str> <id labels="VARIABLE" xml:space="preserve" xml:lang="ja" label-is-contextual="true">brain_extract</id> </sequence> </apply> </define> <resultFormat xml:lang="ja"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="ja" /> </resultFormat> </math> </region>
(brain_extract.bmp)
式をコピー
