範例：旋轉圖像

函數 > 圖像處理 > 幾何轉換 > 範例：旋轉圖像

範例：旋轉圖像

使用 rotate 函數以指定的角度逆時鐘方向旋轉圖像。

如需使用此範例的資訊，請參閱＜關於圖像處理範例＞。

1. 讀取樣本圖像。

按一下以複製此運算式

2. 將 rotate 函數套用至圖像。

按一下以複製此運算式

按一下以複製此運算式

(pattern.bmp)

(pattern_r35.bmp)

對於不是 90 度倍數的旋轉，額外的像素會設為零 (黑色背景)。

3. 若要以數學運算檢視 rotate 的結果，請建構下列圖像矩陣。

按一下以複製此運算式

按一下以複製此運算式

按一下以複製此運算式

<region id="ID0EMFI2" top="744" left="24" xml:lang="zh_TW" height="36.2245" width="132.81" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math xml:lang="zh_TW">
    <define xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
      <apply xml:lang="zh_TW">
        <indexer xml:lang="zh_TW" />
        <id xml:lang="zh_TW" label="None">M</id>
        <sequence xml:lang="zh_TW">
          <id xml:lang="zh_TW" label="None">i</id>
          <id xml:lang="zh_TW" label="None">j</id>
        </sequence>
      </apply>
      <apply xml:lang="zh_TW">
        <id xml:lang="zh_TW">mod</id>
        <sequence xml:lang="zh_TW">
          <apply xml:lang="zh_TW">
            <plus xml:lang="zh_TW" />
            <id xml:lang="zh_TW">i</id>
            <apply xml:lang="zh_TW">
              <pow xml:lang="zh_TW" />
              <id xml:lang="zh_TW">j</id>
              <real xml:lang="zh_TW">2</real>
            </apply>
          </apply>
          <real xml:lang="zh_TW">256</real>
        </sequence>
      </apply>
    </define>
    <resultFormat xml:lang="zh_TW">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="zh_TW" />
      <matrix size="12,12" offset="0,0" xml:lang="zh_TW" />
    </resultFormat>
  </math>
</region>

按一下以複製此運算式

<region id="ID0E5FI2" top="816" left="24" xml:lang="zh_TW" height="53.012" width="104.051666666667" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math xml:lang="zh_TW">
    <eval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
      <id xml:lang="zh_TW">M</id>
      <result xml:lang="zh_TW">
        <matrix rows="3" cols="4" xml:lang="zh_TW">
          <real xml:lang="zh_TW">0</real>
          <real xml:lang="zh_TW">1</real>
          <real xml:lang="zh_TW">2</real>
          <real xml:lang="zh_TW">1</real>
          <real xml:lang="zh_TW">2</real>
          <real xml:lang="zh_TW">3</real>
          <real xml:lang="zh_TW">4</real>
          <real xml:lang="zh_TW">5</real>
          <real xml:lang="zh_TW">6</real>
          <real xml:lang="zh_TW">9</real>
          <real xml:lang="zh_TW">10</real>
          <real xml:lang="zh_TW">11</real>
        </matrix>
      </result>
    </eval>
    <resultFormat xml:lang="zh_TW">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="zh_TW" />
      <matrix size="12,12" offset="0,0" xml:lang="zh_TW" />
    </resultFormat>
  </math>
</region>

4. 將 rotate 函數套用至 M。

按一下以複製此運算式

<region id="ID0E4HI2" top="960" left="24" xml:lang="zh_TW" height="86.969" width="555.928333333333" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math xml:lang="zh_TW">
    <eval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
      <apply xml:lang="zh_TW">
        <id xml:lang="zh_TW">rotate</id>
        <sequence xml:lang="zh_TW">
          <id xml:lang="zh_TW">M</id>
          <real xml:lang="zh_TW">35</real>
        </sequence>
      </apply>
      <result xml:lang="zh_TW">
        <matrix rows="5" cols="4" xml:lang="zh_TW">
          <real xml:lang="zh_TW">2.2943057454041842</real>
          <real xml:lang="zh_TW">3.0753516710908251</real>
          <real xml:lang="zh_TW">2.5714277114008945</real>
          <real xml:lang="zh_TW">2.3359898556712366</real>
          <real xml:lang="zh_TW">0</real>
          <real xml:lang="zh_TW">8.9151672599869283</real>
          <real xml:lang="zh_TW">6.98047940533453</real>
          <real xml:lang="zh_TW">5.0482294661508842</real>
          <real xml:lang="zh_TW">1.6570556695141636</real>
          <real xml:lang="zh_TW">0</real>
          <real xml:lang="zh_TW">2.2724507825404112</real>
          <real xml:lang="zh_TW">6.6551679869899409</real>
          <real xml:lang="zh_TW">4.93574885275516</real>
          <real xml:lang="zh_TW">0</real>
          <real xml:lang="zh_TW">0</real>
          <real xml:lang="zh_TW">0</real>
          <real xml:lang="zh_TW">1.853934438112046</real>
          <real xml:lang="zh_TW">1.2215820459191724</real>
          <real xml:lang="zh_TW">0</real>
          <real xml:lang="zh_TW">0</real>
        </matrix>
      </result>
    </eval>
    <resultFormat xml:lang="zh_TW">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="zh_TW" />
      <matrix size="12,12" offset="0,0" xml:lang="zh_TW" />
    </resultFormat>
  </math>
</region>