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<div class="subTitle">com.jhlabs.image</div>
<h2 title="Class ImageMath" class="title">Class ImageMath</h2>
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<li>java.lang.Object</li>
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<li>com.jhlabs.image.ImageMath</li>
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<pre>public class <span class="strong">ImageMath</span>
extends java.lang.Object</pre>
<div class="block">A class containing static math methods useful for image processing.</div>
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<th class="colFirst" scope="col">Modifier and Type</th>
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<td class="colFirst"><code>static float</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#HALF_PI">HALF_PI</a></strong></code>
<div class="block">The value of half pi as a float.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static float</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#PI">PI</a></strong></code>
<div class="block">The value of pi as a float.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static float</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#QUARTER_PI">QUARTER_PI</a></strong></code>
<div class="block">The value of quarter pi as a float.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static float</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#TWO_PI">TWO_PI</a></strong></code>
<div class="block">The value of two pi as a float.</div>
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<th class="colOne" scope="col">Constructor and Description</th>
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<td class="colOne"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#ImageMath()">ImageMath</a></strong>()</code> </td>
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<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Method and Description</th>
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<td class="colFirst"><code>static float</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#bias(float, float)">bias</a></strong>(float a,
float b)</code>
<div class="block">Apply a bias to a number in the unit interval, moving numbers towards 0 or 1
according to the bias parameter.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static int</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#bilinearInterpolate(float, float, int, int, int, int)">bilinearInterpolate</a></strong>(float x,
float y,
int nw,
int ne,
int sw,
int se)</code>
<div class="block">Bilinear interpolation of ARGB values.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static int</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#brightnessNTSC(int)">brightnessNTSC</a></strong>(int rgb)</code>
<div class="block">Return the NTSC gray level of an RGB value.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static float</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#circleDown(float)">circleDown</a></strong>(float x)</code>
<div class="block">A "circle down" function.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static float</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#circleUp(float)">circleUp</a></strong>(float x)</code>
<div class="block">A "circle up" function.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static float</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#clamp(float, float, float)">clamp</a></strong>(float x,
float a,
float b)</code>
<div class="block">Clamp a value to an interval.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static int</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#clamp(int, int, int)">clamp</a></strong>(int x,
int a,
int b)</code>
<div class="block">Clamp a value to an interval.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static int</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#colorSpline(float, int, int[])">colorSpline</a></strong>(float x,
int numKnots,
int[] knots)</code>
<div class="block">Compute a Catmull-Rom spline for RGB values.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static int</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#colorSpline(int, int, int[], int[])">colorSpline</a></strong>(int x,
int numKnots,
int[] xknots,
int[] yknots)</code>
<div class="block">Compute a Catmull-Rom spline for RGB values, but with variable knot spacing.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static float</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#gain(float, float)">gain</a></strong>(float a,
float b)</code>
<div class="block">A variant of the gamma function.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static float</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#lerp(float, float, float)">lerp</a></strong>(float t,
float a,
float b)</code>
<div class="block">Linear interpolation.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static int</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#lerp(float, int, int)">lerp</a></strong>(float t,
int a,
int b)</code>
<div class="block">Linear interpolation.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static int</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#mixColors(float, int, int)">mixColors</a></strong>(float t,
int rgb1,
int rgb2)</code>
<div class="block">Linear interpolation of ARGB values.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#mod(double, double)">mod</a></strong>(double a,
double b)</code>
<div class="block">Return a mod b.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static float</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#mod(float, float)">mod</a></strong>(float a,
float b)</code>
<div class="block">Return a mod b.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static int</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#mod(int, int)">mod</a></strong>(int a,
int b)</code>
<div class="block">Return a mod b.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static void</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#premultiply(int[], int, int)">premultiply</a></strong>(int[] p,
int offset,
int length)</code>
<div class="block">Premultiply a block of pixels</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static float</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#pulse(float, float, float)">pulse</a></strong>(float a,
float b,
float x)</code>
<div class="block">The pulse function.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static void</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#resample(int[], int[], int, int, int, float[])">resample</a></strong>(int[] source,
int[] dest,
int length,
int offset,
int stride,
float[] out)</code>
<div class="block">An implementation of Fant's resampling algorithm.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static float</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#smoothPulse(float, float, float, float, float)">smoothPulse</a></strong>(float a1,
float a2,
float b1,
float b2,
float x)</code>
<div class="block">A smoothed pulse function.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static float</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#smoothStep(float, float, float)">smoothStep</a></strong>(float a,
float b,
float x)</code>
<div class="block">A smoothed step function.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static float</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#spline(float, int, float[])">spline</a></strong>(float x,
int numKnots,
float[] knots)</code>
<div class="block">Compute a Catmull-Rom spline.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static float</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#spline(float, int, int[], int[])">spline</a></strong>(float x,
int numKnots,
int[] xknots,
int[] yknots)</code>
<div class="block">Compute a Catmull-Rom spline, but with variable knot spacing.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static float</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#step(float, float)">step</a></strong>(float a,
float x)</code>
<div class="block">The step function.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static float</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#triangle(float)">triangle</a></strong>(float x)</code>
<div class="block">The triangle function.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static void</code></td>
<td class="colLast"><code><strong><a href="../../../com/jhlabs/image/ImageMath.html#unpremultiply(int[], int, int)">unpremultiply</a></strong>(int[] p,
int offset,
int length)</code>
<div class="block">Premultiply a block of pixels</div>
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<h3>Methods inherited from class java.lang.Object</h3>
<code>clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait</code></li>
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<h4>PI</h4>
<pre>public static final float PI</pre>
<div class="block">The value of pi as a float.</div>
<dl><dt><span class="strong">See Also:</span></dt><dd><a href="../../../constant-values.html#com.jhlabs.image.ImageMath.PI">Constant Field Values</a></dd></dl>
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<pre>public static final float HALF_PI</pre>
<div class="block">The value of half pi as a float.</div>
<dl><dt><span class="strong">See Also:</span></dt><dd><a href="../../../constant-values.html#com.jhlabs.image.ImageMath.HALF_PI">Constant Field Values</a></dd></dl>
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<pre>public static final float QUARTER_PI</pre>
<div class="block">The value of quarter pi as a float.</div>
<dl><dt><span class="strong">See Also:</span></dt><dd><a href="../../../constant-values.html#com.jhlabs.image.ImageMath.QUARTER_PI">Constant Field Values</a></dd></dl>
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<pre>public static final float TWO_PI</pre>
<div class="block">The value of two pi as a float.</div>
<dl><dt><span class="strong">See Also:</span></dt><dd><a href="../../../constant-values.html#com.jhlabs.image.ImageMath.TWO_PI">Constant Field Values</a></dd></dl>
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<h4>ImageMath</h4>
<pre>public ImageMath()</pre>
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<h4>bias</h4>
<pre>public static float bias(float a,
float b)</pre>
<div class="block">Apply a bias to a number in the unit interval, moving numbers towards 0 or 1
according to the bias parameter.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - the number to bias</dd><dd><code>b</code> - the bias parameter. 0.5 means no change, smaller values bias towards 0, larger towards 1.</dd>
<dt><span class="strong">Returns:</span></dt><dd>the output value</dd></dl>
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<h4>gain</h4>
<pre>public static float gain(float a,
float b)</pre>
<div class="block">A variant of the gamma function.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - the number to apply gain to</dd><dd><code>b</code> - the gain parameter. 0.5 means no change, smaller values reduce gain, larger values increase gain.</dd>
<dt><span class="strong">Returns:</span></dt><dd>the output value</dd></dl>
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<h4>step</h4>
<pre>public static float step(float a,
float x)</pre>
<div class="block">The step function. Returns 0 below a threshold, 1 above.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - the threshold position</dd><dd><code>x</code> - the input parameter</dd>
<dt><span class="strong">Returns:</span></dt><dd>the output value - 0 or 1</dd></dl>
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<h4>pulse</h4>
<pre>public static float pulse(float a,
float b,
float x)</pre>
<div class="block">The pulse function. Returns 1 between two thresholds, 0 outside.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - the lower threshold position</dd><dd><code>b</code> - the upper threshold position</dd><dd><code>x</code> - the input parameter</dd>
<dt><span class="strong">Returns:</span></dt><dd>the output value - 0 or 1</dd></dl>
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<pre>public static float smoothPulse(float a1,
float a2,
float b1,
float b2,
float x)</pre>
<div class="block">A smoothed pulse function. A cubic function is used to smooth the step between two thresholds.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a1</code> - the lower threshold position for the start of the pulse</dd><dd><code>a2</code> - the upper threshold position for the start of the pulse</dd><dd><code>b1</code> - the lower threshold position for the end of the pulse</dd><dd><code>b2</code> - the upper threshold position for the end of the pulse</dd><dd><code>x</code> - the input parameter</dd>
<dt><span class="strong">Returns:</span></dt><dd>the output value</dd></dl>
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<pre>public static float smoothStep(float a,
float b,
float x)</pre>
<div class="block">A smoothed step function. A cubic function is used to smooth the step between two thresholds.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - the lower threshold position</dd><dd><code>b</code> - the upper threshold position</dd><dd><code>x</code> - the input parameter</dd>
<dt><span class="strong">Returns:</span></dt><dd>the output value</dd></dl>
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<pre>public static float circleUp(float x)</pre>
<div class="block">A "circle up" function. Returns y on a unit circle given 1-x. Useful for forming bevels.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - the input parameter in the range 0..1</dd>
<dt><span class="strong">Returns:</span></dt><dd>the output value</dd></dl>
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<pre>public static float circleDown(float x)</pre>
<div class="block">A "circle down" function. Returns 1-y on a unit circle given x. Useful for forming bevels.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - the input parameter in the range 0..1</dd>
<dt><span class="strong">Returns:</span></dt><dd>the output value</dd></dl>
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<pre>public static float clamp(float x,
float a,
float b)</pre>
<div class="block">Clamp a value to an interval.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - the lower clamp threshold</dd><dd><code>b</code> - the upper clamp threshold</dd><dd><code>x</code> - the input parameter</dd>
<dt><span class="strong">Returns:</span></dt><dd>the clamped value</dd></dl>
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<pre>public static int clamp(int x,
int a,
int b)</pre>
<div class="block">Clamp a value to an interval.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - the lower clamp threshold</dd><dd><code>b</code> - the upper clamp threshold</dd><dd><code>x</code> - the input parameter</dd>
<dt><span class="strong">Returns:</span></dt><dd>the clamped value</dd></dl>
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<pre>public static double mod(double a,
double b)</pre>
<div class="block">Return a mod b. This differs from the % operator with respect to negative numbers.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - the dividend</dd><dd><code>b</code> - the divisor</dd>
<dt><span class="strong">Returns:</span></dt><dd>a mod b</dd></dl>
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<pre>public static float mod(float a,
float b)</pre>
<div class="block">Return a mod b. This differs from the % operator with respect to negative numbers.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - the dividend</dd><dd><code>b</code> - the divisor</dd>
<dt><span class="strong">Returns:</span></dt><dd>a mod b</dd></dl>
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<pre>public static int mod(int a,
int b)</pre>
<div class="block">Return a mod b. This differs from the % operator with respect to negative numbers.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - the dividend</dd><dd><code>b</code> - the divisor</dd>
<dt><span class="strong">Returns:</span></dt><dd>a mod b</dd></dl>
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<pre>public static float triangle(float x)</pre>
<div class="block">The triangle function. Returns a repeating triangle shape in the range 0..1 with wavelength 1.0</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - the input parameter</dd>
<dt><span class="strong">Returns:</span></dt><dd>the output value</dd></dl>
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<pre>public static float lerp(float t,
float a,
float b)</pre>
<div class="block">Linear interpolation.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>t</code> - the interpolation parameter</dd><dd><code>a</code> - the lower interpolation range</dd><dd><code>b</code> - the upper interpolation range</dd>
<dt><span class="strong">Returns:</span></dt><dd>the interpolated value</dd></dl>
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<pre>public static int lerp(float t,
int a,
int b)</pre>
<div class="block">Linear interpolation.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>t</code> - the interpolation parameter</dd><dd><code>a</code> - the lower interpolation range</dd><dd><code>b</code> - the upper interpolation range</dd>
<dt><span class="strong">Returns:</span></dt><dd>the interpolated value</dd></dl>
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<h4>mixColors</h4>
<pre>public static int mixColors(float t,
int rgb1,
int rgb2)</pre>
<div class="block">Linear interpolation of ARGB values.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>t</code> - the interpolation parameter</dd><dd><code>rgb1</code> - the lower interpolation range</dd><dd><code>rgb2</code> - the upper interpolation range</dd>
<dt><span class="strong">Returns:</span></dt><dd>the interpolated value</dd></dl>
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<pre>public static int bilinearInterpolate(float x,
float y,
int nw,
int ne,
int sw,
int se)</pre>
<div class="block">Bilinear interpolation of ARGB values.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - the X interpolation parameter 0..1</dd><dd><code>y</code> - the y interpolation parameter 0..1</dd><dd><code>rgb</code> - array of four ARGB values in the order NW, NE, SW, SE</dd>
<dt><span class="strong">Returns:</span></dt><dd>the interpolated value</dd></dl>
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<pre>public static int brightnessNTSC(int rgb)</pre>
<div class="block">Return the NTSC gray level of an RGB value.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>rgb1</code> - the input pixel</dd>
<dt><span class="strong">Returns:</span></dt><dd>the gray level (0-255)</dd></dl>
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<pre>public static float spline(float x,
int numKnots,
float[] knots)</pre>
<div class="block">Compute a Catmull-Rom spline.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - the input parameter</dd><dd><code>numKnots</code> - the number of knots in the spline</dd><dd><code>knots</code> - the array of knots</dd>
<dt><span class="strong">Returns:</span></dt><dd>the spline value</dd></dl>
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<pre>public static float spline(float x,
int numKnots,
int[] xknots,
int[] yknots)</pre>
<div class="block">Compute a Catmull-Rom spline, but with variable knot spacing.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - the input parameter</dd><dd><code>numKnots</code> - the number of knots in the spline</dd><dd><code>xknots</code> - the array of knot x values</dd><dd><code>yknots</code> - the array of knot y values</dd>
<dt><span class="strong">Returns:</span></dt><dd>the spline value</dd></dl>
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<pre>public static int colorSpline(float x,
int numKnots,
int[] knots)</pre>
<div class="block">Compute a Catmull-Rom spline for RGB values.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - the input parameter</dd><dd><code>numKnots</code> - the number of knots in the spline</dd><dd><code>knots</code> - the array of knots</dd>
<dt><span class="strong">Returns:</span></dt><dd>the spline value</dd></dl>
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<pre>public static int colorSpline(int x,
int numKnots,
int[] xknots,
int[] yknots)</pre>
<div class="block">Compute a Catmull-Rom spline for RGB values, but with variable knot spacing.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - the input parameter</dd><dd><code>numKnots</code> - the number of knots in the spline</dd><dd><code>xknots</code> - the array of knot x values</dd><dd><code>yknots</code> - the array of knot y values</dd>
<dt><span class="strong">Returns:</span></dt><dd>the spline value</dd></dl>
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<pre>public static void resample(int[] source,
int[] dest,
int length,
int offset,
int stride,
float[] out)</pre>
<div class="block">An implementation of Fant's resampling algorithm.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>source</code> - the source pixels</dd><dd><code>dest</code> - the destination pixels</dd><dd><code>length</code> - the length of the scanline to resample</dd><dd><code>offset</code> - the start offset into the arrays</dd><dd><code>stride</code> - the offset between pixels in consecutive rows</dd><dd><code>out</code> - an array of output positions for each pixel</dd></dl>
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<pre>public static void premultiply(int[] p,
int offset,
int length)</pre>
<div class="block">Premultiply a block of pixels</div>
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<pre>public static void unpremultiply(int[] p,
int offset,
int length)</pre>
<div class="block">Premultiply a block of pixels</div>
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