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 <span id="projectnumber">Version 1.5.1</span>
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<a href="#func-members">Functions</a> </div>
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<div class="title">Bilinear Interpolation<div class="ingroups"><a class="el" href="group__groupInterpolation.html">Interpolation Functions</a></div></div> </div>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:gaba67d2ba2acbd428832f106de29b8627"><td class="memItemLeft" align="right" valign="top">CMSIS_INLINE __STATIC_INLINE <br class="typebreak"/>
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<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__BilinearInterpolate.html#gaba67d2ba2acbd428832f106de29b8627">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>
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<tr class="memdesc:gaba67d2ba2acbd428832f106de29b8627"><td class="mdescLeft"> </td><td class="mdescRight">Floating-point bilinear interpolation. <a href="#gaba67d2ba2acbd428832f106de29b8627">More...</a><br/></td></tr>
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<tr class="separator:gaba67d2ba2acbd428832f106de29b8627"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga79d374eda5d39e220b0423ba3cb90c6e"><td class="memItemLeft" align="right" valign="top">CMSIS_INLINE __STATIC_INLINE <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__BilinearInterpolate.html#ga79d374eda5d39e220b0423ba3cb90c6e">arm_bilinear_interp_q31</a> (<a class="el" href="structarm__bilinear__interp__instance__q31.html">arm_bilinear_interp_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> X, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Y)</td></tr>
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<tr class="memdesc:ga79d374eda5d39e220b0423ba3cb90c6e"><td class="mdescLeft"> </td><td class="mdescRight">Q31 bilinear interpolation. <a href="#ga79d374eda5d39e220b0423ba3cb90c6e">More...</a><br/></td></tr>
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<tr class="separator:ga79d374eda5d39e220b0423ba3cb90c6e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga5f9b61bcae6d9295d926810cf398dd53"><td class="memItemLeft" align="right" valign="top">CMSIS_INLINE __STATIC_INLINE <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__BilinearInterpolate.html#ga5f9b61bcae6d9295d926810cf398dd53">arm_bilinear_interp_q15</a> (<a class="el" href="structarm__bilinear__interp__instance__q15.html">arm_bilinear_interp_instance_q15</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> X, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Y)</td></tr>
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<tr class="memdesc:ga5f9b61bcae6d9295d926810cf398dd53"><td class="mdescLeft"> </td><td class="mdescRight">Q15 bilinear interpolation. <a href="#ga5f9b61bcae6d9295d926810cf398dd53">More...</a><br/></td></tr>
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<tr class="separator:ga5f9b61bcae6d9295d926810cf398dd53"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga0a986d4a01039914a9d6e81e9a4ccda0"><td class="memItemLeft" align="right" valign="top">CMSIS_INLINE __STATIC_INLINE <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__BilinearInterpolate.html#ga0a986d4a01039914a9d6e81e9a4ccda0">arm_bilinear_interp_q7</a> (<a class="el" href="structarm__bilinear__interp__instance__q7.html">arm_bilinear_interp_instance_q7</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> X, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Y)</td></tr>
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<tr class="memdesc:ga0a986d4a01039914a9d6e81e9a4ccda0"><td class="mdescLeft"> </td><td class="mdescRight">Q7 bilinear interpolation. <a href="#ga0a986d4a01039914a9d6e81e9a4ccda0">More...</a><br/></td></tr>
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<tr class="separator:ga0a986d4a01039914a9d6e81e9a4ccda0"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
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<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>
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<p><b>Algorithm</b> </p>
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<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>
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typedef struct
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{
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uint16_t numRows;
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uint16_t numCols;
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float32_t *pData;
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} <a class="el" href="structarm__bilinear__interp__instance__f32.html" title="Instance structure for the floating-point bilinear interpolation function. ">arm_bilinear_interp_instance_f32</a>;
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</pre></dd></dl>
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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>
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<dl class="section user"><dt></dt><dd>Let <code>(x, y)</code> specify the desired interpolation point. Then define: <pre>
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XF = floor(x)
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YF = floor(y)
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</pre> </dd></dl>
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<dl class="section user"><dt></dt><dd>The interpolated output point is computed as: <pre>
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f(x, y) = f(XF, YF) * (1-(x-XF)) * (1-(y-YF))
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+ f(XF+1, YF) * (x-XF)*(1-(y-YF))
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+ f(XF, YF+1) * (1-(x-XF))*(y-YF)
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+ f(XF+1, YF+1) * (x-XF)*(y-YF)
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</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>
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<dl class="section user"><dt></dt><dd>if (x,y) are outside of the table boundary, Bilinear interpolation returns zero output. </dd></dl>
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<h2 class="groupheader">Function Documentation</h2>
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<a class="anchor" id="gaba67d2ba2acbd428832f106de29b8627"></a>
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<div class="memitem">
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<td class="memname">CMSIS_INLINE __STATIC_INLINE <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_bilinear_interp_f32 </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="structarm__bilinear__interp__instance__f32.html">arm_bilinear_interp_instance_f32</a> * </td>
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<td class="paramname"><em>S</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> </td>
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<td class="paramname"><em>X</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> </td>
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<td class="paramname"><em>Y</em> </td>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</table>
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</div><div class="memdoc">
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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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>
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<tr><td class="paramdir">[in]</td><td class="paramname">X</td><td>interpolation coordinate. </td></tr>
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<tr><td class="paramdir">[in]</td><td class="paramname">Y</td><td>interpolation coordinate. </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>out interpolated value. </dd></dl>
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<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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<td class="memname">CMSIS_INLINE __STATIC_INLINE <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> arm_bilinear_interp_q15 </td>
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<td>(</td>
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<td class="paramtype"><a class="el" href="structarm__bilinear__interp__instance__q15.html">arm_bilinear_interp_instance_q15</a> * </td>
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<td class="paramname"><em>S</em>, </td>
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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="memname">CMSIS_INLINE __STATIC_INLINE <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_bilinear_interp_q31 </td>
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<dl class="section return"><dt>Returns</dt><dd>out interpolated value. </dd></dl>
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<p>References <a class="el" href="structarm__bilinear__interp__instance__q31.html#a6c3eff4eb17ff1d43f170efb84713a2d">arm_bilinear_interp_instance_q31::numCols</a>, <a class="el" href="structarm__bilinear__interp__instance__q31.html#a2082e3eac56354d75291f03e96ce4aa5">arm_bilinear_interp_instance_q31::numRows</a>, and <a class="el" href="structarm__bilinear__interp__instance__q31.html#a843eae0c9db5f815e77e1aaf9afea358">arm_bilinear_interp_instance_q31::pData</a>.</p>
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<td class="memname">CMSIS_INLINE __STATIC_INLINE <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> arm_bilinear_interp_q7 </td>
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<td>(</td>
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<td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> </td>
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<td class="paramname"><em>Y</em> </td>
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<table class="params">
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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>
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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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<tr><td class="paramdir">[in]</td><td class="paramname">Y</td><td>interpolation coordinate in 12.20 format. </td></tr>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>out interpolated value. </dd></dl>
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<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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