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<a href="#func-members">Functions</a> </div>
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<div class="headertitle"><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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<div class="contents">
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:ga06179102bc3a8417d1738c5d167fe06d"><td class="memItemLeft" align="right" valign="top">float16_t </td><td class="memItemRight" valign="bottom"><a class="el" href="group__BilinearInterpolate.html#ga06179102bc3a8417d1738c5d167fe06d">arm_bilinear_interp_f16</a> (const <a class="el" href="structarm__bilinear__interp__instance__f16.html">arm_bilinear_interp_instance_f16</a> *S, float16_t X, float16_t Y)</td></tr>
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<tr class="memdesc:ga06179102bc3a8417d1738c5d167fe06d"><td class="mdescLeft"> </td><td class="mdescRight">Floating-point bilinear interpolation. <a href="group__BilinearInterpolate.html#ga06179102bc3a8417d1738c5d167fe06d">More...</a><br /></td></tr>
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<tr class="separator:ga06179102bc3a8417d1738c5d167fe06d"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gac70e169d2444a76f0385df2d34a1e176"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math__types_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__BilinearInterpolate.html#gac70e169d2444a76f0385df2d34a1e176">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__types_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> X, <a class="el" href="arm__math__types_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Y)</td></tr>
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<tr class="memdesc:gac70e169d2444a76f0385df2d34a1e176"><td class="mdescLeft"> </td><td class="mdescRight">Floating-point bilinear interpolation. <a href="group__BilinearInterpolate.html#gac70e169d2444a76f0385df2d34a1e176">More...</a><br /></td></tr>
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<tr class="separator:gac70e169d2444a76f0385df2d34a1e176"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gaf4fc756c7a8e781c911fddddb2bfe187"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math__types_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__BilinearInterpolate.html#gaf4fc756c7a8e781c911fddddb2bfe187">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__types_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> X, <a class="el" href="arm__math__types_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Y)</td></tr>
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<tr class="memdesc:gaf4fc756c7a8e781c911fddddb2bfe187"><td class="mdescLeft"> </td><td class="mdescRight">Q15 bilinear interpolation. <a href="group__BilinearInterpolate.html#gaf4fc756c7a8e781c911fddddb2bfe187">More...</a><br /></td></tr>
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<tr class="separator:gaf4fc756c7a8e781c911fddddb2bfe187"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga1cd26c37be91b991eecce0d7b6461c4a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math__types_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__BilinearInterpolate.html#ga1cd26c37be91b991eecce0d7b6461c4a">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__types_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> X, <a class="el" href="arm__math__types_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Y)</td></tr>
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<tr class="memdesc:ga1cd26c37be91b991eecce0d7b6461c4a"><td class="mdescLeft"> </td><td class="mdescRight">Q31 bilinear interpolation. <a href="group__BilinearInterpolate.html#ga1cd26c37be91b991eecce0d7b6461c4a">More...</a><br /></td></tr>
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<tr class="separator:ga1cd26c37be91b991eecce0d7b6461c4a"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga5a5ff84ba63b7a3041be025ddfa86dd6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math__types_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__BilinearInterpolate.html#ga5a5ff84ba63b7a3041be025ddfa86dd6">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__types_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> X, <a class="el" href="arm__math__types_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Y)</td></tr>
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<tr class="memdesc:ga5a5ff84ba63b7a3041be025ddfa86dd6"><td class="mdescLeft"> </td><td class="mdescRight">Q7 bilinear interpolation. <a href="group__BilinearInterpolate.html#ga5a5ff84ba63b7a3041be025ddfa86dd6">More...</a><br /></td></tr>
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<tr class="separator:ga5a5ff84ba63b7a3041be025ddfa86dd6"><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><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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const 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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<p>end of LinearInterpolate group </p>
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<h2 class="groupheader">Function Documentation</h2>
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<a id="ga06179102bc3a8417d1738c5d167fe06d" name="ga06179102bc3a8417d1738c5d167fe06d"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ga06179102bc3a8417d1738c5d167fe06d">◆ </a></span>arm_bilinear_interp_f16()</h2>
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<td class="memname">float16_t arm_bilinear_interp_f16 </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="structarm__bilinear__interp__instance__f16.html">arm_bilinear_interp_instance_f16</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 class="paramtype">float16_t </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">float16_t </td>
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<td class="paramname"><em>Y</em> </td>
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</tr>
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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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</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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</div>
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</div>
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<a id="gac70e169d2444a76f0385df2d34a1e176" name="gac70e169d2444a76f0385df2d34a1e176"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#gac70e169d2444a76f0385df2d34a1e176">◆ </a></span>arm_bilinear_interp_f32()</h2>
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<td class="memname"><a class="el" href="arm__math__types_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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<tr>
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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__types_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__types_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> </td>
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<td class="paramname"><em>Y</em> </td>
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<td>)</td>
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<td></td><td></td>
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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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</div>
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<a id="gaf4fc756c7a8e781c911fddddb2bfe187" name="gaf4fc756c7a8e781c911fddddb2bfe187"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#gaf4fc756c7a8e781c911fddddb2bfe187">◆ </a></span>arm_bilinear_interp_q15()</h2>
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<td class="memname"><a class="el" href="arm__math__types_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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</tr>
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<tr>
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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__types_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> </td>
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<td class="paramname"><em>X</em>, </td>
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</tr>
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<tr>
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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__types_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> </td>
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<td class="paramname"><em>Y</em> </td>
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</tr>
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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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</tr>
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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 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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</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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</div>
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</div>
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<a id="ga1cd26c37be91b991eecce0d7b6461c4a" name="ga1cd26c37be91b991eecce0d7b6461c4a"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ga1cd26c37be91b991eecce0d7b6461c4a">◆ </a></span>arm_bilinear_interp_q31()</h2>
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<div class="memitem">
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<div class="memproto">
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<table class="memname">
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<td class="memname"><a class="el" href="arm__math__types_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_bilinear_interp_q31 </td>
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<td>(</td>
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<td class="paramtype"><a class="el" href="structarm__bilinear__interp__instance__q31.html">arm_bilinear_interp_instance_q31</a> * </td>
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<td class="paramname"><em>S</em>, </td>
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</tr>
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<tr>
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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__types_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> </td>
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<td class="paramname"><em>X</em>, </td>
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</tr>
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<tr>
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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__types_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> </td>
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<td class="paramname"><em>Y</em> </td>
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</tr>
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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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</tr>
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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 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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</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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</div>
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</div>
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<a id="ga5a5ff84ba63b7a3041be025ddfa86dd6" name="ga5a5ff84ba63b7a3041be025ddfa86dd6"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ga5a5ff84ba63b7a3041be025ddfa86dd6">◆ </a></span>arm_bilinear_interp_q7()</h2>
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<div class="memitem">
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<div class="memproto">
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<table class="memname">
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<tr>
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<td class="memname"><a class="el" href="arm__math__types_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="structarm__bilinear__interp__instance__q7.html">arm_bilinear_interp_instance_q7</a> * </td>
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<td class="paramname"><em>S</em>, </td>
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</tr>
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<tr>
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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__types_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> </td>
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<td class="paramname"><em>X</em>, </td>
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</tr>
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<tr>
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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__types_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> </td>
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<td class="paramname"><em>Y</em> </td>
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</tr>
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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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</tr>
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</table>
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</div><div class="memdoc">
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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>
|
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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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</div>
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