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-<a href="#func-members">Functions</a> </div>
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-<div class="title">Bilinear Interpolation</div> </div>
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-Functions</h2></td></tr>
-<tr class="memitem:gab49a4c0f64854903d996d01ba38f711a"><td class="memItemLeft" align="right" valign="top">static __INLINE <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___bilinear_interpolate.html#gab49a4c0f64854903d996d01ba38f711a">arm_bilinear_interp_f32</a> (const <a class="el" href="structarm__bilinear__interp__instance__f32.html">arm_bilinear_interp_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> X, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Y)</td></tr>
-<tr class="memdesc:gab49a4c0f64854903d996d01ba38f711a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point bilinear interpolation. <a href="#gab49a4c0f64854903d996d01ba38f711a"></a><br/></td></tr>
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-<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
-<p>Bilinear interpolation is an extension of linear interpolation applied to a two dimensional grid. The underlying function <code>f(x, y)</code> is sampled on a regular grid and the interpolation process determines values between the grid points. Bilinear interpolation is equivalent to two step linear interpolation, first in the x-dimension and then in the y-dimension. Bilinear interpolation is often used in image processing to rescale images. The CMSIS DSP library provides bilinear interpolation functions for Q7, Q15, Q31, and floating-point data types.</p>
-<p><b>Algorithm</b> </p>
-<dl class="section user"><dt></dt><dd>The instance structure used by the bilinear interpolation functions describes a two dimensional data table. For floating-point, the instance structure is defined as: <pre>
- typedef struct
- {
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- uint16_t numCols;
- float32_t *pData;
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-<dl class="section user"><dt></dt><dd>where <code>numRows</code> specifies the number of rows in the table; <code>numCols</code> specifies the number of columns in the table; and <code>pData</code> points to an array of size <code>numRows*numCols</code> values. The data table <code>pTable</code> is organized in row order and the supplied data values fall on integer indexes. That is, table element (x,y) is located at <code>pTable[x + y*numCols]</code> where x and y are integers.</dd></dl>
-<dl class="section user"><dt></dt><dd>Let <code>(x, y)</code> specify the desired interpolation point. Then define: <pre>
- XF = floor(x)
- YF = floor(y)
-</pre> </dd></dl>
-<dl class="section user"><dt></dt><dd>The interpolated output point is computed as: <pre>
- f(x, y) = f(XF, YF) * (1-(x-XF)) * (1-(y-YF))
- + f(XF+1, YF) * (x-XF)*(1-(y-YF))
- + f(XF, YF+1) * (1-(x-XF))*(y-YF)
- + f(XF+1, YF+1) * (x-XF)*(y-YF)
-</pre> Note that the coordinates (x, y) contain integer and fractional components. The integer components specify which portion of the table to use while the fractional components control the interpolation processor.</dd></dl>
-<dl class="section user"><dt></dt><dd>if (x,y) are outside of the table boundary, Bilinear interpolation returns zero output. </dd></dl>
-<h2 class="groupheader">Function Documentation</h2>
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- <tr><td class="paramdir">[in,out]</td><td class="paramname">S</td><td>points to an instance of the interpolation structure. </td></tr>
- <tr><td class="paramdir">[in]</td><td class="paramname">X</td><td>interpolation coordinate. </td></tr>
- <tr><td class="paramdir">[in]</td><td class="paramname">Y</td><td>interpolation coordinate. </td></tr>
- </table>
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-<dl class="section return"><dt>Returns</dt><dd>out interpolated value. </dd></dl>
-
-<p>References <a class="el" href="structarm__bilinear__interp__instance__f32.html#aede17bebfb1f835b61d71dd813eab3f8">arm_bilinear_interp_instance_f32::numCols</a>, <a class="el" href="structarm__bilinear__interp__instance__f32.html#a34f2b17cc57b95011960df9718af6ed6">arm_bilinear_interp_instance_f32::numRows</a>, and <a class="el" href="structarm__bilinear__interp__instance__f32.html#afd1e764591c991c212d56c893efb5ea4">arm_bilinear_interp_instance_f32::pData</a>.</p>
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- <tr><td class="paramdir">[in]</td><td class="paramname">X</td><td>interpolation coordinate in 12.20 format. </td></tr>
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-<p>References <a class="el" href="structarm__bilinear__interp__instance__q15.html#a7fa8772d01583374ff8ac18205a26a37">arm_bilinear_interp_instance_q15::numCols</a>, <a class="el" href="structarm__bilinear__interp__instance__q15.html#a2130ae30a804995a9f5d0e2189e08565">arm_bilinear_interp_instance_q15::numRows</a>, and <a class="el" href="structarm__bilinear__interp__instance__q15.html#a50d75b1316cee3e0dfad6dcc4c9a2954">arm_bilinear_interp_instance_q15::pData</a>.</p>
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- <td class="paramtype"><a class="el" href="structarm__bilinear__interp__instance__q7.html">arm_bilinear_interp_instance_q7</a> *&#160;</td>
- <td class="paramname"><em>S</em>, </td>
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- <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
- <td class="paramname"><em>X</em>, </td>
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- <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
- <td class="paramname"><em>Y</em>&#160;</td>
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-<dl class="params"><dt>Parameters</dt><dd>
- <table class="params">
- <tr><td class="paramdir">[in,out]</td><td class="paramname">S</td><td>points to an instance of the interpolation structure. </td></tr>
- <tr><td class="paramdir">[in]</td><td class="paramname">X</td><td>interpolation coordinate in 12.20 format. </td></tr>
- <tr><td class="paramdir">[in]</td><td class="paramname">Y</td><td>interpolation coordinate in 12.20 format. </td></tr>
- </table>
- </dd>
-</dl>
-<dl class="section return"><dt>Returns</dt><dd>out interpolated value. </dd></dl>
-
-<p>References <a class="el" href="structarm__bilinear__interp__instance__q7.html#a860dd0d24380ea06cfbb348fb3b12c9a">arm_bilinear_interp_instance_q7::numCols</a>, <a class="el" href="structarm__bilinear__interp__instance__q7.html#ad5a8067cab5f9ea4688b11a623e16607">arm_bilinear_interp_instance_q7::numRows</a>, and <a class="el" href="structarm__bilinear__interp__instance__q7.html#af05194d691bbefb02c34bafb22ca9ef0">arm_bilinear_interp_instance_q7::pData</a>.</p>
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