例: コンボリューションと比較によるエッジ検出

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例: コンボリューションと比較によるエッジ検出

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。

kirsch

kirschによるエッジ検出では次の 8 つのカーネルが使用されます。

<region id="ID0EHPM3" top="120" left="24" xml:lang="ja" height="53.012" width="94.81" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">15</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">5</real> <real xml:lang="ja">5</real> <real xml:lang="ja">5</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">0</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">-3</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0EAQM3" top="120" left="144" xml:lang="ja" height="53.012" width="102.873333333333" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">15</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">5</real> <real xml:lang="ja">5</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">5</real> <real xml:lang="ja">0</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">-3</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0EZQM3" top="120" left="264" xml:lang="ja" height="53.012" width="102.873333333333" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">15</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">5</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">5</real> <real xml:lang="ja">0</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">5</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">-3</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0ESRM3" top="120" left="384" xml:lang="ja" height="53.012" width="102.873333333333" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">15</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">-3</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">5</real> <real xml:lang="ja">0</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">5</real> <real xml:lang="ja">5</real> <real xml:lang="ja">-3</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0ENSM3" top="192" left="24" xml:lang="ja" height="53.012" width="94.81" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">15</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">-3</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">0</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">5</real> <real xml:lang="ja">5</real> <real xml:lang="ja">5</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0EFTM3" top="192" left="144" xml:lang="ja" height="53.012" width="102.873333333333" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">15</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">-3</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">0</real> <real xml:lang="ja">5</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">5</real> <real xml:lang="ja">5</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0E4TM3" top="192" left="264" xml:lang="ja" height="53.012" width="102.873333333333" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">15</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">-3</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">5</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">0</real> <real xml:lang="ja">5</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">5</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0EVUM3" top="192" left="384" xml:lang="ja" height="53.012" width="102.873333333333" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">15</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">-3</real> <real xml:lang="ja">5</real> <real xml:lang="ja">5</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">0</real> <real xml:lang="ja">5</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">-3</real> <real xml:lang="ja">-3</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>

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(lena.bmp)

(lena_mkir.bmp)

robinson3

robinson3によるエッジ検出では次の 8 つのカーネルが使用されます。

<region id="ID0ET3M3" top="936" left="24" xml:lang="ja" height="53.012" width="80.7633333333333" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">3</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">-1</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0EM4M3" top="936" left="120" xml:lang="ja" height="53.012" width="88.8266666666667" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">3</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">-1</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0EF5M3" top="936" left="240" xml:lang="ja" height="53.012" width="96.89" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">3</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">-1</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0E55M3" top="936" left="360" xml:lang="ja" height="53.012" width="88.8266666666667" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">3</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">0</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">0</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0EZ6M3" top="1008" left="24" xml:lang="ja" height="53.012" width="80.7633333333333" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">3</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">-1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0ERAN3" top="1008" left="120" xml:lang="ja" height="53.012" width="88.8266666666667" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">3</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">-1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0EJBN3" top="1008" left="240" xml:lang="ja" height="53.012" width="96.89" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">3</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">-1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">1</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0EBCN3" top="1008" left="360" xml:lang="ja" height="53.012" width="88.8266666666667" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">3</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">0</real> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">0</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>

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(lena_mrob3.bmp)

robinson5

robinson5によるエッジ検出では次の 8 つのカーネルが使用されます。

<region id="ID0EFHN3" top="1464" left="24" xml:lang="ja" height="53.012" width="80.7633333333333" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">4</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">1</real> <real xml:lang="ja">2</real> <real xml:lang="ja">1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">-2</real> <real xml:lang="ja">-1</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0E5HN3" top="1464" left="120" xml:lang="ja" height="53.012" width="88.8266666666667" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">4</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">2</real> <real xml:lang="ja">1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">-2</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0EXIN3" top="1464" left="240" xml:lang="ja" height="53.012" width="96.89" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">4</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">2</real> <real xml:lang="ja">0</real> <real xml:lang="ja">-2</real> <real xml:lang="ja">1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">-1</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0EQJN3" top="1464" left="360" xml:lang="ja" height="53.012" width="88.8266666666667" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">4</real> </apply> <matrix rows="3" cols="3" 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">1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">2</real> <real xml:lang="ja">1</real> <real xml:lang="ja">0</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0ELKN3" top="1536" left="24" xml:lang="ja" height="53.012" width="80.7633333333333" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">4</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">-1</real> <real xml:lang="ja">-2</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">0</real> <real xml:lang="ja">1</real> <real xml:lang="ja">2</real> <real xml:lang="ja">1</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0EDLN3" top="1536" left="120" xml:lang="ja" height="53.012" width="88.8266666666667" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">4</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">-2</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">1</real> <real xml:lang="ja">2</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0E2LN3" top="1536" left="240" xml:lang="ja" height="53.012" width="96.89" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">4</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">-1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">1</real> <real xml:lang="ja">-2</real> <real xml:lang="ja">0</real> <real xml:lang="ja">2</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">1</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0ETMN3" top="1536" left="360" xml:lang="ja" height="53.012" width="88.8266666666667" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">4</real> </apply> <matrix rows="3" cols="3" 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">-1</real> <real xml:lang="ja">0</real> <real xml:lang="ja">1</real> <real xml:lang="ja">-2</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">0</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>

クリックしてこの式をコピー

クリックしてこの式をコピー

(lena_mrob5.bmp)

compgrad

compgradによるエッジ検出では次の 8 つのカーネルが使用されます。

<region id="ID0EXRN3" top="2112" left="24" xml:lang="ja" height="53.012" width="88.8266666666667" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">5</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">-2</real> <real xml:lang="ja">1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">-1</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0EQSN3" top="2112" left="120" xml:lang="ja" height="53.012" width="88.8266666666667" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">5</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">-2</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">-1</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0EJTN3" top="2112" left="240" xml:lang="ja" height="53.012" width="96.89" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">5</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">-2</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">-1</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0ECUN3" top="2112" left="360" xml:lang="ja" height="53.012" width="88.8266666666667" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">5</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">-2</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>
<region id="ID0E4UN3" top="2184" left="24" xml:lang="ja" height="53.012" width="88.8266666666667" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">5</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">-1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">-2</real> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0EVVN3" top="2184" left="120" xml:lang="ja" height="53.012" width="88.8266666666667" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">5</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">-1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">-2</real> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0ENWN3" top="2184" left="240" xml:lang="ja" height="53.012" width="96.89" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">5</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">-1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">-2</real> <real xml:lang="ja">1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>	<region id="ID0EFXN3" top="2184" left="360" xml:lang="ja" height="53.012" width="88.8266666666667" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="ja"> <apply xml:lang="ja" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="ja" /> <apply xml:lang="ja"> <div xml:lang="ja" /> <real xml:lang="ja">1</real> <real xml:lang="ja">5</real> </apply> <matrix rows="3" cols="3" xml:lang="ja"> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">-2</real> <real xml:lang="ja">1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">-1</real> <real xml:lang="ja">1</real> </matrix> </apply> <resultFormat xml:lang="ja"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="ja" /> <matrix size="12,12" offset="0,0" xml:lang="ja" /> </resultFormat> </math> </region>

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クリックしてこの式をコピー

(lena_comp.bmp)