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+······<tocitem·target="vl_compile.html">vl_compile</tocitem>
+······<tocitem·target="vl_demo.html">vl_demo</tocitem>
+······<tocitem·target="vl_harris.html">vl_harris</tocitem>
+······<tocitem·target="vl_help.html">vl_help</tocitem>
+······<tocitem·target="vl_noprefix.html">vl_noprefix</tocitem>
+······<tocitem·target="vl_root.html">vl_root</tocitem>
+······<tocitem·target="vl_setup.html">vl_setup</tocitem>
+······<tocitem·target="vl_covdet.html">vl_covdet</tocitem>
+······<tocitem·target="vl_dsift.html">vl_dsift</tocitem>
+······<tocitem·target="vl_frame2oell.html">vl_frame2oell</tocitem>
+······<tocitem·target="vl_liop.html">vl_liop</tocitem>
+······<tocitem·target="vl_phow.html">vl_phow</tocitem>
+······<tocitem·target="vl_plotsiftdescriptor.html">vl_plotsiftdescriptor</tocitem>
+······<tocitem·target="vl_plotss.html">vl_plotss</tocitem>
+······<tocitem·target="vl_sift.html">vl_sift</tocitem>
+······<tocitem·target="vl_siftdescriptor.html">vl_siftdescriptor</tocitem>
+······<tocitem·target="vl_ubcmatch.html">vl_ubcmatch</tocitem>
+······<tocitem·target="vl_ubcread.html">vl_ubcread</tocitem>
+······<tocitem·target="vl_ddgaussian.html">vl_ddgaussian</tocitem>
+······<tocitem·target="vl_dgaussian.html">vl_dgaussian</tocitem>
+······<tocitem·target="vl_dsigmoid.html">vl_dsigmoid</tocitem>
+······<tocitem·target="vl_gaussian.html">vl_gaussian</tocitem>
+······<tocitem·target="vl_rcos.html">vl_rcos</tocitem>
+······<tocitem·target="vl_sigmoid.html">vl_sigmoid</tocitem>
+······<tocitem·target="vl_fisher.html">vl_fisher</tocitem>
+······<tocitem·target="vl_slic.html">vl_slic</tocitem>
+······<tocitem·target="vl_erfill.html">vl_erfill</tocitem>
+······<tocitem·target="vl_ertr.html">vl_ertr</tocitem>
+······<tocitem·target="vl_mser.html">vl_mser</tocitem>
+······<tocitem·target="vl_cf.html">vl_cf</tocitem>
+······<tocitem·target="vl_click.html">vl_click</tocitem>
+······<tocitem·target="vl_clickpoint.html">vl_clickpoint</tocitem>
+······<tocitem·target="vl_clicksegment.html">vl_clicksegment</tocitem>
+······<tocitem·target="vl_det.html">vl_det</tocitem>
+······<tocitem·target="vl_figaspect.html">vl_figaspect</tocitem>
+······<tocitem·target="vl_linespec2prop.html">vl_linespec2prop</tocitem>
+······<tocitem·target="vl_plotbox.html">vl_plotbox</tocitem>
+······<tocitem·target="vl_plotframe.html">vl_plotframe</tocitem>
+······<tocitem·target="vl_plotgrid.html">vl_plotgrid</tocitem>
+······<tocitem·target="vl_plotpoint.html">vl_plotpoint</tocitem>
+······<tocitem·target="vl_plotstyle.html">vl_plotstyle</tocitem>
+······<tocitem·target="vl_pr.html">vl_pr</tocitem>
+······<tocitem·target="vl_printsize.html">vl_printsize</tocitem>
+······<tocitem·target="vl_roc.html">vl_roc</tocitem>
+······<tocitem·target="vl_tightsubplot.html">vl_tightsubplot</tocitem>
+······<tocitem·target="vl_tpfp.html">vl_tpfp</tocitem>
+······<tocitem·target="vl_dwaffine.html">vl_dwaffine</tocitem>
+······<tocitem·target="vl_imarray.html">vl_imarray</tocitem>
+······<tocitem·target="vl_imarraysc.html">vl_imarraysc</tocitem>
+······<tocitem·target="vl_imdisttf.html">vl_imdisttf</tocitem>
+······<tocitem·target="vl_imdown.html">vl_imdown</tocitem>
+······<tocitem·target="vl_imgrad.html">vl_imgrad</tocitem>
+······<tocitem·target="vl_imintegral.html">vl_imintegral</tocitem>
+······<tocitem·target="vl_impattern.html">vl_impattern</tocitem>
+······<tocitem·target="vl_imreadbw.html">vl_imreadbw</tocitem>
+······<tocitem·target="vl_imreadgray.html">vl_imreadgray</tocitem>
+······<tocitem·target="vl_imsc.html">vl_imsc</tocitem>
+······<tocitem·target="vl_imsmooth.html">vl_imsmooth</tocitem>
+······<tocitem·target="vl_imup.html">vl_imup</tocitem>
+······<tocitem·target="vl_imwbackward.html">vl_imwbackward</tocitem>
+······<tocitem·target="vl_imwhiten.html">vl_imwhiten</tocitem>
+······<tocitem·target="vl_rgb2xyz.html">vl_rgb2xyz</tocitem>
+······<tocitem·target="vl_tps.html">vl_tps</tocitem>
+······<tocitem·target="vl_tpsu.html">vl_tpsu</tocitem>
+······<tocitem·target="vl_waffine.html">vl_waffine</tocitem>
+······<tocitem·target="vl_witps.html">vl_witps</tocitem>
+······<tocitem·target="vl_wtps.html">vl_wtps</tocitem>
+······<tocitem·target="vl_xyz2lab.html">vl_xyz2lab</tocitem>
+······<tocitem·target="vl_xyz2luv.html">vl_xyz2luv</tocitem>
+······<tocitem·target="vl_xyz2rgb.html">vl_xyz2rgb</tocitem>
+······<tocitem·target="vl_vlad.html">vl_vlad</tocitem>
+······<tocitem·target="vl_flatmap.html">vl_flatmap</tocitem>
+······<tocitem·target="vl_imseg.html">vl_imseg</tocitem>
+······<tocitem·target="vl_quickseg.html">vl_quickseg</tocitem>
+······<tocitem·target="vl_quickshift.html">vl_quickshift</tocitem>
+······<tocitem·target="vl_quickvis.html">vl_quickvis</tocitem>
+······<tocitem·target="vl_alldist2.html">vl_alldist2</tocitem>
+······<tocitem·target="vl_alphanum.html">vl_alphanum</tocitem>
+······<tocitem·target="vl_argparse.html">vl_argparse</tocitem>
+······<tocitem·target="vl_binsearch.html">vl_binsearch</tocitem>
+······<tocitem·target="vl_binsum.html">vl_binsum</tocitem>
+······<tocitem·target="vl_colsubset.html">vl_colsubset</tocitem>
+······<tocitem·target="vl_cummax.html">vl_cummax</tocitem>
+······<tocitem·target="vl_svmpegasos.html">vl_svmpegasos</tocitem>
+······<tocitem·target="vl_svmtrain.html">vl_svmtrain</tocitem>
+······<tocitem·target="vl_threads.html">vl_threads</tocitem>
+······<tocitem·target="vl_twister.html">vl_twister</tocitem>
+······<tocitem·target="vl_version.html">vl_version</tocitem>
+······<tocitem·target="vl_whistc.html">vl_whistc</tocitem>
+······<tocitem·target="vl_xmkdir.html">vl_xmkdir</tocitem>
+······<tocitem·target="vl_ddgaussian.html">vl_ddgaussian</tocitem>
+······<tocitem·target="vl_dgaussian.html">vl_dgaussian</tocitem>
+······<tocitem·target="vl_dsigmoid.html">vl_dsigmoid</tocitem>
+······<tocitem·target="vl_gaussian.html">vl_gaussian</tocitem>
+······<tocitem·target="vl_rcos.html">vl_rcos</tocitem>
+······<tocitem·target="vl_sigmoid.html">vl_sigmoid</tocitem>
+······<tocitem·target="vl_hat.html">vl_hat</tocitem>
+······<tocitem·target="vl_ihat.html">vl_ihat</tocitem>
+······<tocitem·target="vl_irodr.html">vl_irodr</tocitem>
+······<tocitem·target="vl_rodr.html">vl_rodr</tocitem>
+······<tocitem·target="vl_dwaffine.html">vl_dwaffine</tocitem>
+······<tocitem·target="vl_imarray.html">vl_imarray</tocitem>
+······<tocitem·target="vl_imarraysc.html">vl_imarraysc</tocitem>
+······<tocitem·target="vl_imdisttf.html">vl_imdisttf</tocitem>
+······<tocitem·target="vl_imdown.html">vl_imdown</tocitem>
+······<tocitem·target="vl_imgrad.html">vl_imgrad</tocitem>
+······<tocitem·target="vl_imintegral.html">vl_imintegral</tocitem>
+······<tocitem·target="vl_impattern.html">vl_impattern</tocitem>
+······<tocitem·target="vl_imreadbw.html">vl_imreadbw</tocitem>
+······<tocitem·target="vl_imreadgray.html">vl_imreadgray</tocitem>
+······<tocitem·target="vl_imsc.html">vl_imsc</tocitem>
+······<tocitem·target="vl_imsmooth.html">vl_imsmooth</tocitem>
+······<tocitem·target="vl_imup.html">vl_imup</tocitem>
+······<tocitem·target="vl_imwbackward.html">vl_imwbackward</tocitem>
+······<tocitem·target="vl_imwhiten.html">vl_imwhiten</tocitem>
+······<tocitem·target="vl_rgb2xyz.html">vl_rgb2xyz</tocitem>
+······<tocitem·target="vl_tps.html">vl_tps</tocitem>
+······<tocitem·target="vl_tpsu.html">vl_tpsu</tocitem>
+······<tocitem·target="vl_waffine.html">vl_waffine</tocitem>
+······<tocitem·target="vl_witps.html">vl_witps</tocitem>
+······<tocitem·target="vl_wtps.html">vl_wtps</tocitem>
+······<tocitem·target="vl_xyz2lab.html">vl_xyz2lab</tocitem>
+······<tocitem·target="vl_xyz2luv.html">vl_xyz2luv</tocitem>
+······<tocitem·target="vl_xyz2rgb.html">vl_xyz2rgb</tocitem>
+······<tocitem·target="vl_covdet.html">vl_covdet</tocitem>
+······<tocitem·target="vl_dsift.html">vl_dsift</tocitem>


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65	··<div·id="content-section">	65	··<div·id="content-section">
66	····<div·id="content-wrapper">	66	····<div·id="content-wrapper">
67	······<div·id="content">	67	······<div·id="content">
68	········	68	········
69	····	69	····
70	<b></b><ul>	70	<b></b><ul>
71	<li><b><a·href="vl_compile.html">vl_compile</a></b>·Compile·VLFeat·MEX·files</li><li><b><a·href="vl_demo.html">vl_demo</a></b>·Run·VLFeat·demos</li><li><b><a·href="vl_harris.html">vl_harris</a></b>·Harris·corner·strength</li><li><b><a·href="vl_help.html">vl_help</a></b>·VLFeat·toolbox·builtin·help</li><li><b><a·href="vl_noprefix.html">vl_noprefix</a></b>·Create·a·prefix-less·version·of·VLFeat·commands</li><li><b><a·href="vl_root.html">vl_root</a></b>·Obtain·VLFeat·root·path</li><li><b><a·href="vl_setup.html">vl_setup</a></b>·Add·VLFeat·Toolbox·to·the·path</li></ul>	71	<li><b><a·href="vl_compile.html">vl_compile</a></b>·Compile·VLFeat·MEX·files</li><li><b><a·href="vl_demo.html">vl_demo</a></b>·Run·VLFeat·demos</li><li><b><a·href="vl_harris.html">vl_harris</a></b>·Harris·corner·strength</li><li><b><a·href="vl_help.html">vl_help</a></b>·VLFeat·toolbox·builtin·help</li><li><b><a·href="vl_noprefix.html">vl_noprefix</a></b>·Create·a·prefix-less·version·of·VLFeat·commands</li><li><b><a·href="vl_root.html">vl_root</a></b>·Obtain·VLFeat·root·path</li><li><b><a·href="vl_setup.html">vl_setup</a></b>·Add·VLFeat·Toolbox·to·the·path</li></ul>
72	<b>MISC</b><ul>
73	<li><b><a·href="vl_alldist2.html">vl_alldist2</a></b>·Pairwise·distances</li><li><b><a·href="vl_alphanum.html">vl_alphanum</a></b>·Sort·strings·using·the·Alphanum·algorithm</li><li><b><a·href="vl_argparse.html">vl_argparse</a></b>·Parse·list·of·parameter-value·pairs.</li><li><b><a·href="vl_binsearch.html">vl_binsearch</a></b>·Maps·data·to·bins</li><li><b><a·href="vl_binsum.html">vl_binsum</a></b>·Binned·summation</li><li><b><a·href="vl_colsubset.html">vl_colsubset</a></b>·Select·a·given·number·of·columns</li><li><b><a·href="vl_cummax.html">vl_cummax</a></b>·Cumulative·maximum</li><li><b><a·href="vl_getpid.html">vl_getpid</a></b>·Get·MATLAB·process·ID</li><li><b><a·href="vl_grad.html">vl_grad</a></b>·Compute·the·gradient·of·an·image</li><li><b><a·href="vl_histmarg.html">vl_histmarg</a></b>·Marginal·of·histogram</li><li><b><a·href="vl_hog.html">vl_hog</a></b>·Compute·HOG·features</li><li><b><a·href="vl_homkermap.html">vl_homkermap</a></b>·Homogeneous·kernel·map</li><li><b><a·href="vl_ihashfind.html">vl_ihashfind</a></b>·Find·labels·in·an·integer·hash·table</li><li><b><a·href="vl_ihashsum.html">vl_ihashsum</a></b>·Accumulate·integer·labels·into·a·hash·table</li><li><b><a·href="vl_inthist.html">vl_inthist</a></b>·Calculate·Integral·Histogram</li><li><b><a·href="vl_isoctave.html">vl_isoctave</a></b>·Determines·whether·Octave·is·running</li><li><b><a·href="vl_kdtreebuild.html">vl_kdtreebuild</a></b>·Build·randomized·kd-tree</li><li><b><a·href="vl_kdtreequery.html">vl_kdtreequery</a></b>·Query·KD-tree</li><li><b><a·href="vl_lbp.html">vl_lbp</a></b>·Local·Binary·Patterns</li><li><b><a·href="vl_lbpfliplr.html">vl_lbpfliplr</a></b>·Flip·LBP·features·left-right</li><li><b><a·href="vl_localmax.html">vl_localmax</a></b>·Find·local·maximizers</li><li><b><a·href="vl_matlabversion.html">vl_matlabversion</a></b>·Return·MATLAB·version·as·an·integer</li><li><b><a·href="vl_numder.html">vl_numder</a></b>·Numerical·derivative</li><li><b><a·href="vl_numder2.html">vl_numder2</a></b>·Numerical·second·derivative</li><li><b><a·href="vl_override.html">vl_override</a></b>·Override·structure·subset</li><li><b><a·href="vl_pegasos.html">vl_pegasos</a></b>·[deprecated]</li><li><b><a·href="vl_sampleinthist.html">vl_sampleinthist</a></b>·Sample·integral·histogram</li><li><b><a·href="vl_simdctrl.html">vl_simdctrl</a></b>·Toggle·VLFeat·SIMD·optimizations</li><li><b><a·href="vl_svmdataset.html">vl_svmdataset</a></b>·Construct·advanced·SVM·dataset·structure</li><li><b><a·href="vl_svmpegasos.html">vl_svmpegasos</a></b>·[deprecated]</li><li><b><a·href="vl_svmtrain.html">vl_svmtrain</a></b>·Train·a·Support·Vector·Machine</li><li><b><a·href="vl_threads.html">vl_threads</a></b>·Control·VLFeat·computational·threads</li><li><b><a·href="vl_twister.html">vl_twister</a></b>·Random·number·generator</li><li><b><a·href="vl_version.html">vl_version</a></b>·Obtain·VLFeat·version·information</li><li><b><a·href="vl_whistc.html">vl_whistc</a></b>·Weighted·histogram</li><li><b><a·href="vl_xmkdir.html">vl_xmkdir</a></b>·Create·a·directory·recursively.</li></ul>
74	<b>SPECIAL</b><ul>
75	<li><b><a·href="vl_ddgaussian.html">vl_ddgaussian</a></b>·Second·derivative·of·the·Gaussian·density·function</li><li><b><a·href="vl_dgaussian.html">vl_dgaussian</a></b>·Derivative·of·the·Gaussian·density·function</li><li><b><a·href="vl_dsigmoid.html">vl_dsigmoid</a></b>·Derivative·of·the·sigmoid·function</li><li><b><a·href="vl_gaussian.html">vl_gaussian</a></b>·Standard·Gaussian·density·function</li><li><b><a·href="vl_rcos.html">vl_rcos</a></b>·RCOS·function</li><li><b><a·href="vl_sigmoid.html">vl_sigmoid</a></b>·Sigmoid·function</li></ul>
76	<b>GEOMETRY</b><ul>
77	<li><b><a·href="vl_hat.html">vl_hat</a></b>·Hat·operator</li><li><b><a·href="vl_ihat.html">vl_ihat</a></b>·Inverse·vl_hat·operator</li><li><b><a·href="vl_irodr.html">vl_irodr</a></b>·Inverse·Rodrigues'·formula</li><li><b><a·href="vl_rodr.html">vl_rodr</a></b>·Rodrigues'·formula</li></ul>
78	<b>IMOP</b><ul>
79	<li><b><a·href="vl_dwaffine.html">vl_dwaffine</a></b>·Derivative·of·an·affine·warp</li><li><b><a·href="vl_imarray.html">vl_imarray</a></b>·Flattens·image·array</li><li><b><a·href="vl_imarraysc.html">vl_imarraysc</a></b>·Scale·and·flattens·image·array</li><li><b><a·href="vl_imdisttf.html">vl_imdisttf</a></b>·Image·distance·transform</li><li><b><a·href="vl_imdown.html">vl_imdown</a></b>·Downsample·an·image·by·two</li><li><b><a·href="vl_imgrad.html">vl_imgrad</a></b>·Image·gradient</li><li><b><a·href="vl_imintegral.html">vl_imintegral</a></b>·Compute·integral·image</li><li><b><a·href="vl_impattern.html">vl_impattern</a></b>·Generate·an·image·from·a·stock·pattern</li><li><b><a·href="vl_imreadbw.html">vl_imreadbw</a></b>·Reads·an·image·as·gray-scale</li><li><b><a·href="vl_imreadgray.html">vl_imreadgray</a></b>·Reads·an·image·as·gray-scale</li><li><b><a·href="vl_imsc.html">vl_imsc</a></b>·Scale·image</li><li><b><a·href="vl_imsmooth.html">vl_imsmooth</a></b>·Smooth·image</li><li><b><a·href="vl_imup.html">vl_imup</a></b>·Upsample·an·image·by·two</li><li><b><a·href="vl_imwbackward.html">vl_imwbackward</a></b>·Image·backward·warping</li><li><b><a·href="vl_imwhiten.html">vl_imwhiten</a></b>·Whiten·an·image</li><li><b><a·href="vl_rgb2xyz.html">vl_rgb2xyz</a></b>·Convert·RGB·color·space·to·XYZ</li><li><b><a·href="vl_tps.html">vl_tps</a></b>·Compute·the·thin-plate·spline·basis</li><li><b><a·href="vl_tpsu.html">vl_tpsu</a></b>·Compute·the·U·matrix·of·a·thin-plate·spline·transformation</li><li><b><a·href="vl_waffine.html">vl_waffine</a></b>·Apply·affine·transformation·to·points</li><li><b><a·href="vl_witps.html">vl_witps</a></b>·Inverse·thin-plate·spline·warping</li><li><b><a·href="vl_wtps.html">vl_wtps</a></b>·Thin-plate·spline·warping</li><li><b><a·href="vl_xyz2lab.html">vl_xyz2lab</a></b>·Convert·XYZ·color·space·to·LAB</li><li><b><a·href="vl_xyz2luv.html">vl_xyz2luv</a></b>·Convert·XYZ·color·space·to·LUV</li><li><b><a·href="vl_xyz2rgb.html">vl_xyz2rgb</a></b>·Convert·XYZ·to·RGB</li></ul>
80	<b>SIFT</b><ul>	72	<b>SIFT</b><ul>
81	<li><b><a·href="vl_covdet.html">vl_covdet</a></b>·Covariant·feature·detectors·and·descriptors</li><li><b><a·href="vl_dsift.html">vl_dsift</a></b>·Dense·SIFT</li><li><b><a·href="vl_frame2oell.html">vl_frame2oell</a></b>·Convert·a·geometric·frame·to·an·oriented·ellipse</li><li><b><a·href="vl_liop.html">vl_liop</a></b>·Local·Intensity·Order·Pattern·descriptor</li><li><b><a·href="vl_phow.html">vl_phow</a></b>·Extract·PHOW·features</li><li><b><a·href="vl_plotsiftdescriptor.html">vl_plotsiftdescriptor</a></b>·Plot·SIFT·descriptor</li><li><b><a·href="vl_plotss.html">vl_plotss</a></b>·Plot·scale·space</li><li><b><a·href="vl_sift.html">vl_sift</a></b>·Scale-Invariant·Feature·Transform</li><li><b><a·href="vl_siftdescriptor.html">vl_siftdescriptor</a></b>·Raw·SIFT·descriptor</li><li><b><a·href="vl_ubcmatch.html">vl_ubcmatch</a></b>·Match·SIFT·features</li><li><b><a·href="vl_ubcread.html">vl_ubcread</a></b>·Read·Lowe's·SIFT·implementation·data·files</li></ul>	73	<li><b><a·href="vl_covdet.html">vl_covdet</a></b>·Covariant·feature·detectors·and·descriptors</li><li><b><a·href="vl_dsift.html">vl_dsift</a></b>·Dense·SIFT</li><li><b><a·href="vl_frame2oell.html">vl_frame2oell</a></b>·Convert·a·geometric·frame·to·an·oriented·ellipse</li><li><b><a·href="vl_liop.html">vl_liop</a></b>·Local·Intensity·Order·Pattern·descriptor</li><li><b><a·href="vl_phow.html">vl_phow</a></b>·Extract·PHOW·features</li><li><b><a·href="vl_plotsiftdescriptor.html">vl_plotsiftdescriptor</a></b>·Plot·SIFT·descriptor</li><li><b><a·href="vl_plotss.html">vl_plotss</a></b>·Plot·scale·space</li><li><b><a·href="vl_sift.html">vl_sift</a></b>·Scale-Invariant·Feature·Transform</li><li><b><a·href="vl_siftdescriptor.html">vl_siftdescriptor</a></b>·Raw·SIFT·descriptor</li><li><b><a·href="vl_ubcmatch.html">vl_ubcmatch</a></b>·Match·SIFT·features</li><li><b><a·href="vl_ubcread.html">vl_ubcread</a></b>·Read·Lowe's·SIFT·implementation·data·files</li></ul>
82	<b>PLOTOP</b><ul>
83	<li><b><a·href="vl_cf.html">vl_cf</a></b>·Creates·a·copy·of·a·figure</li><li><b><a·href="vl_click.html">vl_click</a></b>·Click·a·point</li><li><b><a·href="vl_clickpoint.html">vl_clickpoint</a></b>·Select·a·point·by·clicking</li><li><b><a·href="vl_clicksegment.html">vl_clicksegment</a></b>·Select·a·segment·by·clicking</li><li><b><a·href="vl_det.html">vl_det</a></b>·Compute·DET·curve</li><li><b><a·href="vl_figaspect.html">vl_figaspect</a></b>·Set·figure·aspect·ratio</li><li><b><a·href="vl_linespec2prop.html">vl_linespec2prop</a></b>·Convert·PLOT·style·line·specs·to·line·properties</li><li><b><a·href="vl_plotbox.html">vl_plotbox</a></b>·Plot·boxes</li><li><b><a·href="vl_plotframe.html">vl_plotframe</a></b>·Plot·a·geometric·frame</li><li><b><a·href="vl_plotgrid.html">vl_plotgrid</a></b>·Plot·a·2-D·grid</li><li><b><a·href="vl_plotpoint.html">vl_plotpoint</a></b>·Plot·2·or·3·dimensional·points</li><li><b><a·href="vl_plotstyle.html">vl_plotstyle</a></b>·Get·a·plot·style</li><li><b><a·href="vl_pr.html">vl_pr</a></b>·Precision-recall·curve.</li><li><b><a·href="vl_printsize.html">vl_printsize</a></b>·Set·the·printing·size·of·a·figure</li><li><b><a·href="vl_roc.html">vl_roc</a></b>·ROC·curve.</li><li><b><a·href="vl_tightsubplot.html">vl_tightsubplot</a></b>·Tiles·axes·without·wasting·space</li><li><b><a·href="vl_tpfp.html">vl_tpfp</a></b>·Compute·true·positives·and·false·positives</li></ul>
84	<b>MSER</b><ul>	74	<b>SPECIAL</b><ul>
85	<li><b><a·href="vl_~~erf~~ill.html">vl_~~erf~~ill</a></b>·Fill·extremal·region</li><li><b><a·href="vl_~~ertr~~.html">vl_~~ertr~~</a></b>·Tra~~nsp~~ose·~~exrem~~al·re~~gions~~·f~~rames~~</li><li><b><a·href="vl_m~~ser~~.html">vl_m~~ser~~</a></b>·~~Max~~imally·~~Stab~~le·~~Extr~~e~~mal·R~~e~~gions~~</li></ul>	75	<li><b><a·href="vl_ddgaussian.html">vl_ddgaussian</a></b>·Second·derivative·of·the·Gaussian·density·function</li><li><b><a·href="vl_dgaussian.html">vl_dgaussian</a></b>·Derivative·of·the·Gaussian·density·function</li><li><b><a·href="vl_dsigmoid.html">vl_dsigmoid</a></b>·Deri[·...·truncated·by·diffoscope;·len:·260,·SHA:·d09205f2795c26f90b8b23ef0099c214411d0d6eb15ed18dd7f6419f05263b31·...·]</li></ul>
86	<b>FISHER</b><ul>	76	<b>FISHER</b><ul>
87	<li><b><a·href="vl_fisher.html">vl_fisher</a></b>·Fisher·vector·feature·encoding</li></ul>	77	<li><b><a·href="vl_fisher.html">vl_fisher</a></b>·Fisher·vector·feature·encoding</li></ul>
88	<b>SLIC</b><ul>	78	<b>SLIC</b><ul>
89	<li><b><a·href="vl_slic.html">vl_slic</a></b>·SLIC·superpixels</li></ul>	79	<li><b><a·href="vl_slic.html">vl_slic</a></b>·SLIC·superpixels</li></ul>
90	<b>KME~~ANS~~</b><ul>	80	<b>MSER</b><ul>
91	<li><b><a·href="vl_hi~~kmeans~~.html">vl_hi~~kmeans~~</a></b>·~~Hierac~~hical·inte~~ger~~·~~K-mea~~ns</li><li><b><a·href="vl_~~hikm~~e~~anshist~~.html">vl_~~hikm~~e~~anshist~~</a></b>·~~Com~~pute·~~hist~~ogram·of·qu~~ant~~i~~zed~~·data</li><li><b><a·href="vl_~~hik~~m~~ean~~spush.html">vl_~~hik~~m~~ean~~spush</a></b>~~·Push·data~~·~~down~~·an·int~~eger[~~·~~...~~·t~~runc~~a~~ted·~~b~~y·diffoscope;·~~le~~n:·370,·SHA:~~·~~d1cffb7e168bc27632bd8570299b4d03265e12c74c50601097~~e~~7262651175b0b~~·~~...·]~~ns</li></ul>	81	<li><b><a·href="vl_erfill.html">vl_erfill</a></b>·Fill·extremal·region</li><li><b><a·href="vl_ertr.html">vl_ertr</a></b>·Transpose·exremal·regions·frames</li><li><b><a·href="vl_mser.html">vl_mser</a></b>·Maximally·Stable·Extremal·Regions</li></ul>
		82	<b>PLOTOP</b><ul>
		83	<li><b><a·href="vl_cf.html">vl_cf</a></b>·Creates·a·copy·of·a·figure</li><li><b><a·href="vl_click.html">vl_click</a></b>·Click·a·point</li><li><b><a·href="vl_clickpoint.html">vl_clickpoint</a></b>·Select·a·point·by·clicking</li><li><b><a·href="vl_clicksegment.html">vl_clicksegment</a></b>·Select·a·segment·by·clicking</li><li><b><a·href="vl_det.html">vl_det</a></b>·Compute·DET·curve</li><li><b><a·href="vl_figaspect.html">vl_figaspect</a></b>·Set·figure·aspect·ratio</li><li><b><a·href="vl_linespec2prop.html">vl_linespec2prop</a></b>·Convert·PLOT·style·line·specs·to·line·properties</li><li><b><a·href="vl_plotbox.html">vl_plotbox</a></b>·Plot·boxes</li><li><b><a·href="vl_plotframe.html">vl_plotframe</a></b>·Plot·a·geometric·frame</li><li><b><a·href="vl_plotgrid.html">vl_plotgrid</a></b>·Plot·a·2-D·grid</li><li><b><a·href="vl_plotpoint.html">vl_plotpoint</a></b>·Plot·2·or·3·dimensional·points</li><li><b><a·href="vl_plotstyle.html">vl_plotstyle</a></b>·Get·a·plot·style</li><li><b><a·href="vl_pr.html">vl_pr</a></b>·Precision-recall·curve.</li><li><b><a·href="vl_printsize.html">vl_printsize</a></b>·Set·the·printing·size·of·a·figure</li><li><b><a·href="vl_roc.html">vl_roc</a></b>·ROC·curve.</li><li><b><a·href="vl_tightsubplot.html">vl_tightsubplot</a></b>·Tiles·axes·without·wasting·space</li><li><b><a·href="vl_tpfp.html">vl_tpfp</a></b>·Compute·true·positives·and·false·positives</li></ul>
		84	<b>IMOP</b><ul>
		85	<li><b><a·href="vl_dwaffine.html">vl_dwaffine</a></b>·Derivative·of·an·affine·warp</li><li><b><a·href="vl_imarray.html">vl_imarray</a></b>·Flattens·image·array</li><li><b><a·href="vl_imarraysc.html">vl_imarraysc</a></b>·Scale·and·flattens·image·array</li><li><b><a·href="vl_imdisttf.html">vl_imdisttf</a></b>·Image·distance·transform</li><li><b><a·href="vl_imdown.html">vl_imdown</a></b>·Downsample·an·image·by·two</li><li><b><a·href="vl_imgrad.html">vl_imgrad</a></b>·Image·gradient</li><li><b><a·href="vl_imintegral.html">vl_imintegral</a></b>·Compute·integral·image</li><li><b><a·href="vl_impattern.html">vl_impattern</a></b>·Generate·an·image·from·a·stock·pattern</li><li><b><a·href="vl_imreadbw.html">vl_imreadbw</a></b>·Reads·an·image·as·gray-scale</li><li><b><a·href="vl_imreadgray.html">vl_imreadgray</a></b>·Reads·an·image·as·gray-scale</li><li><b><a·href="vl_imsc.html">vl_imsc</a></b>·Scale·image</li><li><b><a·href="vl_imsmooth.html">vl_imsmooth</a></b>·Smooth·image</li><li><b><a·href="vl_imup.html">vl_imup</a></b>·Upsample·an·image·by·two</li><li><b><a·href="vl_imwbackward.html">vl_imwbackward</a></b>·Image·backward·warping</li><li><b><a·href="vl_imwhiten.html">vl_imwhiten</a></b>·Whiten·an·image</li><li><b><a·href="vl_rgb2xyz.html">vl_rgb2xyz</a></b>·Convert·RGB·color·space·to·XYZ</li><li><b><a·href="vl_tps.html">vl_tps</a></b>·Compute·the·thin-plate·spline·basis</li><li><b><a·href="vl_tpsu.html">vl_tpsu</a></b>·Compute·the·U·matrix·of·a·thin-plate·spline·transformation</li><li><b><a·href="vl_waffine.html">vl_waffine</a></b>·Apply·affine·transformation·to·points</li><li><b><a·href="vl_witps.html">vl_witps</a></b>·Inverse·thin-plate·spline·warping</li><li><b><a·href="vl_wtps.html">vl_wtps</a></b>·Thin-plate·spline·warping</li><li><b><a·href="vl_xyz2lab.html">vl_xyz2lab</a></b>·Convert·XYZ·color·space·to·LAB</li><li><b><a·href="vl_xyz2luv.html">vl_xyz2luv</a></b>·Convert·XYZ·color·space·to·LUV</li><li><b><a·href="vl_xyz2rgb.html">vl_xyz2rgb</a></b>·Convert·XYZ·to·RGB</li></ul>
92	<b>VLAD</b><ul>	86	<b>VLAD</b><ul>
93	<li><b><a·href="vl_vlad.html">vl_vlad</a></b>·VLAD·feature·encoding</li></ul>	87	<li><b><a·href="vl_vlad.html">vl_vlad</a></b>·VLAD·feature·encoding</li></ul>
94	<b>AIB</b><ul>
95	<li><b><a·href="vl_aib.html">vl_aib</a></b>·Agglomerative·Information·Bottleneck</li><li><b><a·href="vl_aibcut.html">vl_aibcut</a></b>·Cut·VL_AIB·tree</li><li><b><a·href="vl_aibcuthist.html">vl_aibcuthist</a></b>·Compute·a·histogram·by·using·an·AIB·compressed·alphabet</li><li><b><a·href="vl_aibcutpush.html">vl_aibcutpush</a></b>·Quantize·based·on·VL_AIB·cut</li><li><b><a·href="vl_aibhist.html">vl_aibhist</a></b>·Compute·histogram·over·VL_AIB·tree</li></ul>
96	<b>QUICKSHIFT</b><ul>	88	<b>QUICKSHIFT</b><ul>
97	<li><b><a·href="vl_flatmap.html">vl_flatmap</a></b>·Flatten·a·tree,·assigning·the·label·of·the·root·to·each·node</li><li><b><a·href="vl_imseg.html">vl_imseg</a></b>·Color·an·image·based·on·the·segmentation</li><li><b><a·href="vl_quickseg.html">vl_quickseg</a></b>·Produce·a·quickshift·segmentation·of·a·grayscale·or·color·image</li><li><b><a·href="vl_quickshift.html">vl_quickshift</a></b>·Quick·shift·image·segmentation</li><li><b><a·href="vl_quickvis.html">vl_quickvis</a></b>·Create·an·edge·image·from·a·Quickshift·segmentation.</li></ul>	89	<li><b><a·href="vl_flatmap.html">vl_flatmap</a></b>·Flatten·a·tree,·assigning·the·label·of·the·root·to·each·node</li><li><b><a·href="vl_imseg.html">vl_imseg</a></b>·Color·an·image·based·on·the·segmentation</li><li><b><a·href="vl_quickseg.html">vl_quickseg</a></b>·Produce·a·quickshift·segmentation·of·a·grayscale·or·color·image</li><li><b><a·href="vl_quickshift.html">vl_quickshift</a></b>·Quick·shift·image·segmentation</li><li><b><a·href="vl_quickvis.html">vl_quickvis</a></b>·Create·an·edge·image·from·a·Quickshift·segmentation.</li></ul>
		90	<b>MISC</b><ul>
		91	<li><b><a·href="vl_alldist2.html">vl_alldist2</a></b>·Pairwise·distances</li><li><b><a·href="vl_alphanum.html">vl_alphanum</a></b>·Sort·strings·using·the·Alphanum·algorithm</li><li><b><a·href="vl_argparse.html">vl_argparse</a></b>·Parse·list·of·parameter-value·pairs.</li><li><b><a·href="vl_binsearch.html">vl_binsearch</a></b>·Maps·data·to·bins</li><li><b><a·href="vl_binsum.html">vl_binsum</a></b>·Binned·summation</li><li><b><a·href="vl_colsubset.html">vl_colsubset</a></b>·Select·a·given·number·of·columns</li><li><b><a·href="vl_cummax.html">vl_cummax</a></b>·Cumulative·maximum</li><li><b><a·href="vl_getpid.html">vl_getpid</a></b>·Get·MATLAB·process·ID</li><li><b><a·href="vl_grad.html">vl_grad</a></b>·Compute·the·gradient·of·an·image</li><li><b><a·href="vl_histmarg.html">vl_histmarg</a></b>·Marginal·of·histogram</li><li><b><a·href="vl_hog.html">vl_hog</a></b>·Compute·HOG·features</li><li><b><a·href="vl_homkermap.html">vl_homkermap</a></b>·Homogeneous·kernel·map</li><li><b><a·href="vl_ihashfind.html">vl_ihashfind</a></b>·Find·labels·in·an·integer·hash·table</li><li><b><a·href="vl_ihashsum.html">vl_ihashsum</a></b>·Accumulate·integer·labels·into·a·hash·table</li><li><b><a·href="vl_inthist.html">vl_inthist</a></b>·Calculate·Integral·Histogram</li><li><b><a·href="vl_isoctave.html">vl_isoctave</a></b>·Determines·whether·Octave·is·running</li><li><b><a·href="vl_kdtreebuild.html">vl_kdtreebuild</a></b>·Build·randomized·kd-tree</li><li><b><a·href="vl_kdtreequery.html">vl_kdtreequery</a></b>·Query·KD-tree</li><li><b><a·href="vl_lbp.html">vl_lbp</a></b>·Local·Binary·Patterns</li><li><b><a·href="vl_lbpfliplr.html">vl_lbpfliplr</a></b>·Flip·LBP·features·left-right</li><li><b><a·href="vl_localmax.html">vl_localmax</a></b>·Find·local·maximizers</li><li><b><a·href="vl_matlabversion.html">vl_matlabversion</a></b>·Return·MATLAB·version·as·an·integer</li><li><b><a·href="vl_numder.html">vl_numder</a></b>·Numerical·derivative</li><li><b><a·href="vl_numder2.html">vl_numder2</a></b>·Numerical·second·derivative</li><li><b><a·href="vl_override.html">vl_override</a></b>·Override·structure·subset</li><li><b><a·href="vl_pegasos.html">vl_pegasos</a></b>·[deprecated]</li><li><b><a·href="vl_sampleinthist.html">vl_sampleinthist</a></b>·Sample·integral·histogram</li><li><b><a·href="vl_simdctrl.html">vl_simdctrl</a></b>·Toggle·VLFeat·SIMD·optimizations</li><li><b><a·href="vl_svmdataset.html">vl_svmdataset</a></b>·Construct·advanced·SVM·dataset·structure</li><li><b><a·href="vl_svmpegasos.html">vl_svmpegasos</a></b>·[deprecated]</li><li><b><a·href="vl_svmtrain.html">vl_svmtrain</a></b>·Train·a·Support·Vector·Machine</li><li><b><a·href="vl_threads.html">vl_threads</a></b>·Control·VLFeat·computational·threads</li><li><b><a·href="vl_twister.html">vl_twister</a></b>·Random·number·generator</li><li><b><a·href="vl_version.html">vl_version</a></b>·Obtain·VLFeat·version·information</li><li><b><a·href="vl_whistc.html">vl_whistc</a></b>·Weighted·histogram</li><li><b><a·href="vl_xmkdir.html">vl_xmkdir</a></b>·Create·a·directory·recursively.</li></ul>
		92	<b>KMEANS</b><ul>
		93	<li><b><a·href="vl_hikmeans.html">vl_hikmeans</a></b>·Hierachical·integer·K-means</li><li><b><a·href="vl_hikmeanshist.html">vl_hikmeanshist</a></b>·Compute·histogram·of·quantized·data</li><li><b><a·href="vl_hikmeanspush.html">vl_hikmeanspush</a></b>·Push·data·down·an·integer·K-means·tree</li><li><b><a·href="vl_ikmeans.html">vl_ikmeans</a></b>·Integer·K-means</li><li><b><a·href="vl_ikmeanshist.html">vl_ikmeanshist</a></b>·Compute·histogram·of·quantized·data</li><li><b><a·href="vl_ikmeanspush.html">vl_ikmeanspush</a></b>·Project·data·on·integer·K-means·paritions</li><li><b><a·href="vl_kmeans.html">vl_kmeans</a></b>·Cluster·data·using·k-means</li></ul>
98	<b>GMM</b><ul>	94	<b>GMM</b><ul>
99	<li><b><a·href="vl_gmm.html">vl_gmm</a></b>·Learn·a·Gaussian·Mixture·Model·using·EM</li></ul>	95	<li><b><a·href="vl_gmm.html">vl_gmm</a></b>·Learn·a·Gaussian·Mixture·Model·using·EM</li></ul>
		96	<b>GEOMETRY</b><ul>
		97	<li><b><a·href="vl_hat.html">vl_hat</a></b>·Hat·operator</li><li><b><a·href="vl_ihat.html">vl_ihat</a></b>·Inverse·vl_hat·operator</li><li><b><a·href="vl_irodr.html">vl_irodr</a></b>·Inverse·Rodrigues'·formula</li><li><b><a·href="vl_rodr.html">vl_rodr</a></b>·Rodrigues'·formula</li></ul>
		98	<b>AIB</b><ul>
		99	<li><b><a·href="vl_aib.html">vl_aib</a></b>·Agglomerative·Information·Bottleneck</li><li><b><a·href="vl_aibcut.html">vl_aibcut</a></b>·Cut·VL_AIB·tree</li><li><b><a·href="vl_aibcuthist.html">vl_aibcuthist</a></b>·Compute·a·histogram·by·using·an·AIB·compressed·alphabet</li><li><b><a·href="vl_aibcutpush.html">vl_aibcutpush</a></b>·Quantize·based·on·VL_AIB·cut</li><li><b><a·href="vl_aibhist.html">vl_aibhist</a></b>·Compute·histogram·over·VL_AIB·tree</li></ul>

100	····	100	····

+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8c\x8c_\x8o\x8o_\x8m\x8m_\x8p\x8p_\x8i\x8i_\x8l\x8l_\x8e\x8e·Compile·VLFeat·MEX·files
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8d\x8d_\x8e\x8e_\x8m\x8m_\x8o\x8o·Run·VLFeat·demos
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8h\x8h_\x8a\x8a_\x8r\x8r_\x8r\x8r_\x8i\x8i_\x8s\x8s·Harris·corner·strength
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8h\x8h_\x8e\x8e_\x8l\x8l_\x8p\x8p·VLFeat·toolbox·builtin·help
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8n\x8n_\x8o\x8o_\x8p\x8p_\x8r\x8r_\x8e\x8e_\x8f\x8f_\x8i\x8i_\x8x\x8x·Create·a·prefix-less·version·of·VLFeat·commands
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8r\x8r_\x8o\x8o_\x8o\x8o_\x8t\x8t·Obtain·VLFeat·root·path
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8s\x8s_\x8e\x8e_\x8t\x8t_\x8u\x8u_\x8p\x8p·Add·VLFeat·Toolbox·to·the·path
+S\x8SI\x8IF\x8FT\x8T
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8c\x8c_\x8o\x8o_\x8v\x8v_\x8d\x8d_\x8e\x8e_\x8t\x8t·Covariant·feature·detectors·and·descriptors
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8d\x8d_\x8s\x8s_\x8i\x8i_\x8f\x8f_\x8t\x8t·Dense·SIFT
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8f\x8f_\x8r\x8r_\x8a\x8a_\x8m\x8m_\x8e\x8e_\x82\x82_\x8o\x8o_\x8e\x8e_\x8l\x8l_\x8l\x8l·Convert·a·geometric·frame·to·an·oriented·ellipse
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8l\x8l_\x8i\x8i_\x8o\x8o_\x8p\x8p·Local·Intensity·Order·Pattern·descriptor
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8p\x8p_\x8h\x8h_\x8o\x8o_\x8w\x8w·Extract·PHOW·features
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8p\x8p_\x8l\x8l_\x8o\x8o_\x8t\x8t_\x8s\x8s_\x8i\x8i_\x8f\x8f_\x8t\x8t_\x8d\x8d_\x8e\x8e_\x8s\x8s_\x8c\x8c_\x8r\x8r_\x8i\x8i_\x8p\x8p_\x8t\x8t_\x8o\x8o_\x8r\x8r·Plot·SIFT·descriptor
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8p\x8p_\x8l\x8l_\x8o\x8o_\x8t\x8t_\x8s\x8s_\x8s\x8s·Plot·scale·space
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8s\x8s_\x8i\x8i_\x8f\x8f_\x8t\x8t·Scale-Invariant·Feature·Transform
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8s\x8s_\x8i\x8i_\x8f\x8f_\x8t\x8t_\x8d\x8d_\x8e\x8e_\x8s\x8s_\x8c\x8c_\x8r\x8r_\x8i\x8i_\x8p\x8p_\x8t\x8t_\x8o\x8o_\x8r\x8r·Raw·SIFT·descriptor
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8u\x8u_\x8b\x8b_\x8c\x8c_\x8m\x8m_\x8a\x8a_\x8t\x8t_\x8c\x8c_\x8h\x8h·Match·SIFT·features
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8u\x8u_\x8b\x8b_\x8c\x8c_\x8r\x8r_\x8e\x8e_\x8a\x8a_\x8d\x8d·Read·Lowe's·SIFT·implementation·data·files
+S\x8SP\x8PE\x8EC\x8CI\x8IA\x8AL\x8L
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8d\x8d_\x8d\x8d_\x8g\x8g_\x8a\x8a_\x8u\x8u_\x8s\x8s_\x8s\x8s_\x8i\x8i_\x8a\x8a_\x8n\x8n·Second·derivative·of·the·Gaussian·density·function
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8d\x8d_\x8g\x8g_\x8a\x8a_\x8u\x8u_\x8s\x8s_\x8s\x8s_\x8i\x8i_\x8a\x8a_\x8n\x8n·Derivative·of·the·Gaussian·density·function
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8d\x8d_\x8s\x8s_\x8i\x8i_\x8g\x8g_\x8m\x8m_\x8o\x8o_\x8i\x8i_\x8d\x8d·Derivative·of·the·sigmoid·function
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8g\x8g_\x8a\x8a_\x8u\x8u_\x8s\x8s_\x8s\x8s_\x8i\x8i_\x8a\x8a_\x8n\x8n·Standard·Gaussian·density·function
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8r\x8r_\x8c\x8c_\x8o\x8o_\x8s\x8s·RCOS·function
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8s\x8s_\x8i\x8i_\x8g\x8g_\x8m\x8m_\x8o\x8o_\x8i\x8i_\x8d\x8d·Sigmoid·function
+F\x8FI\x8IS\x8SH\x8HE\x8ER\x8R
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8f\x8f_\x8i\x8i_\x8s\x8s_\x8h\x8h_\x8e\x8e_\x8r\x8r·Fisher·vector·feature·encoding
+S\x8SL\x8LI\x8IC\x8C
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8s\x8s_\x8l\x8l_\x8i\x8i_\x8c\x8c·SLIC·superpixels
+M\x8MS\x8SE\x8ER\x8R
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8e\x8e_\x8r\x8r_\x8f\x8f_\x8i\x8i_\x8l\x8l_\x8l\x8l·Fill·extremal·region
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8e\x8e_\x8r\x8r_\x8t\x8t_\x8r\x8r·Transpose·exremal·regions·frames
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8m\x8m_\x8s\x8s_\x8e\x8e_\x8r\x8r·Maximally·Stable·Extremal·Regions
+P\x8PL\x8LO\x8OT\x8TO\x8OP\x8P
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8c\x8c_\x8f\x8f·Creates·a·copy·of·a·figure
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8c\x8c_\x8l\x8l_\x8i\x8i_\x8c\x8c_\x8k\x8k·Click·a·point
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8c\x8c_\x8l\x8l_\x8i\x8i_\x8c\x8c_\x8k\x8k_\x8p\x8p_\x8o\x8o_\x8i\x8i_\x8n\x8n_\x8t\x8t·Select·a·point·by·clicking
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8c\x8c_\x8l\x8l_\x8i\x8i_\x8c\x8c_\x8k\x8k_\x8s\x8s_\x8e\x8e_\x8g\x8g_\x8m\x8m_\x8e\x8e_\x8n\x8n_\x8t\x8t·Select·a·segment·by·clicking
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8d\x8d_\x8e\x8e_\x8t\x8t·Compute·DET·curve
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8f\x8f_\x8i\x8i_\x8g\x8g_\x8a\x8a_\x8s\x8s_\x8p\x8p_\x8e\x8e_\x8c\x8c_\x8t\x8t·Set·figure·aspect·ratio
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8l\x8l_\x8i\x8i_\x8n\x8n_\x8e\x8e_\x8s\x8s_\x8p\x8p_\x8e\x8e_\x8c\x8c_\x82\x82_\x8p\x8p_\x8r\x8r_\x8o\x8o_\x8p\x8p·Convert·PLOT·style·line·specs·to·line·properties
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8p\x8p_\x8l\x8l_\x8o\x8o_\x8t\x8t_\x8b\x8b_\x8o\x8o_\x8x\x8x·Plot·boxes
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8p\x8p_\x8l\x8l_\x8o\x8o_\x8t\x8t_\x8f\x8f_\x8r\x8r_\x8a\x8a_\x8m\x8m_\x8e\x8e·Plot·a·geometric·frame
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8p\x8p_\x8l\x8l_\x8o\x8o_\x8t\x8t_\x8g\x8g_\x8r\x8r_\x8i\x8i_\x8d\x8d·Plot·a·2-D·grid
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8p\x8p_\x8l\x8l_\x8o\x8o_\x8t\x8t_\x8p\x8p_\x8o\x8o_\x8i\x8i_\x8n\x8n_\x8t\x8t·Plot·2·or·3·dimensional·points
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8p\x8p_\x8l\x8l_\x8o\x8o_\x8t\x8t_\x8s\x8s_\x8t\x8t_\x8y\x8y_\x8l\x8l_\x8e\x8e·Get·a·plot·style
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8p\x8p_\x8r\x8r·Precision-recall·curve.
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8p\x8p_\x8r\x8r_\x8i\x8i_\x8n\x8n_\x8t\x8t_\x8s\x8s_\x8i\x8i_\x8z\x8z_\x8e\x8e·Set·the·printing·size·of·a·figure
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8r\x8r_\x8o\x8o_\x8c\x8c·ROC·curve.
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8t\x8t_\x8i\x8i_\x8g\x8g_\x8h\x8h_\x8t\x8t_\x8s\x8s_\x8u\x8u_\x8b\x8b_\x8p\x8p_\x8l\x8l_\x8o\x8o_\x8t\x8t·Tiles·axes·without·wasting·space
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8t\x8t_\x8p\x8p_\x8f\x8f_\x8p\x8p·Compute·true·positives·and·false·positives
+I\x8IM\x8MO\x8OP\x8P
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8d\x8d_\x8w\x8w_\x8a\x8a_\x8f\x8f_\x8f\x8f_\x8i\x8i_\x8n\x8n_\x8e\x8e·Derivative·of·an·affine·warp
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8a\x8a_\x8r\x8r_\x8r\x8r_\x8a\x8a_\x8y\x8y·Flattens·image·array
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8a\x8a_\x8r\x8r_\x8r\x8r_\x8a\x8a_\x8y\x8y_\x8s\x8s_\x8c\x8c·Scale·and·flattens·image·array
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8d\x8d_\x8i\x8i_\x8s\x8s_\x8t\x8t_\x8t\x8t_\x8f\x8f·Image·distance·transform
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8d\x8d_\x8o\x8o_\x8w\x8w_\x8n\x8n·Downsample·an·image·by·two
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8g\x8g_\x8r\x8r_\x8a\x8a_\x8d\x8d·Image·gradient
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8i\x8i_\x8n\x8n_\x8t\x8t_\x8e\x8e_\x8g\x8g_\x8r\x8r_\x8a\x8a_\x8l\x8l·Compute·integral·image
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8p\x8p_\x8a\x8a_\x8t\x8t_\x8t\x8t_\x8e\x8e_\x8r\x8r_\x8n\x8n·Generate·an·image·from·a·stock·pattern
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8r\x8r_\x8e\x8e_\x8a\x8a_\x8d\x8d_\x8b\x8b_\x8w\x8w·Reads·an·image·as·gray-scale
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8r\x8r_\x8e\x8e_\x8a\x8a_\x8d\x8d_\x8g\x8g_\x8r\x8r_\x8a\x8a_\x8y\x8y·Reads·an·image·as·gray-scale
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8s\x8s_\x8c\x8c·Scale·image
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8s\x8s_\x8m\x8m_\x8o\x8o_\x8o\x8o_\x8t\x8t_\x8h\x8h·Smooth·image
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8u\x8u_\x8p\x8p·Upsample·an·image·by·two
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8w\x8w_\x8b\x8b_\x8a\x8a_\x8c\x8c_\x8k\x8k_\x8w\x8w_\x8a\x8a_\x8r\x8r_\x8d\x8d·Image·backward·warping
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8w\x8w_\x8h\x8h_\x8i\x8i_\x8t\x8t_\x8e\x8e_\x8n\x8n·Whiten·an·image
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8r\x8r_\x8g\x8g_\x8b\x8b_\x82\x82_\x8x\x8x_\x8y\x8y_\x8z\x8z·Convert·RGB·color·space·to·XYZ
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8t\x8t_\x8p\x8p_\x8s\x8s·Compute·the·thin-plate·spline·basis
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8t\x8t_\x8p\x8p_\x8s\x8s_\x8u\x8u·Compute·the·U·matrix·of·a·thin-plate·spline·transformation
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8w\x8w_\x8a\x8a_\x8f\x8f_\x8f\x8f_\x8i\x8i_\x8n\x8n_\x8e\x8e·Apply·affine·transformation·to·points
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8w\x8w_\x8i\x8i_\x8t\x8t_\x8p\x8p_\x8s\x8s·Inverse·thin-plate·spline·warping
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8w\x8w_\x8t\x8t_\x8p\x8p_\x8s\x8s·Thin-plate·spline·warping
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8x\x8x_\x8y\x8y_\x8z\x8z_\x82\x82_\x8l\x8l_\x8a\x8a_\x8b\x8b·Convert·XYZ·color·space·to·LAB
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8x\x8x_\x8y\x8y_\x8z\x8z_\x82\x82_\x8l\x8l_\x8u\x8u_\x8v\x8v·Convert·XYZ·color·space·to·LUV
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8x\x8x_\x8y\x8y_\x8z\x8z_\x82\x82_\x8r\x8r_\x8g\x8g_\x8b\x8b·Convert·XYZ·to·RGB
+V\x8VL\x8LA\x8AD\x8D
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8v\x8v_\x8l\x8l_\x8a\x8a_\x8d\x8d·VLAD·feature·encoding
+Q\x8QU\x8UI\x8IC\x8CK\x8KS\x8SH\x8HI\x8IF\x8FT\x8T
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8f\x8f_\x8l\x8l_\x8a\x8a_\x8t\x8t_\x8m\x8m_\x8a\x8a_\x8p\x8p·Flatten·a·tree,·assigning·the·label·of·the·root·to·each·node
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8s\x8s_\x8e\x8e_\x8g\x8g·Color·an·image·based·on·the·segmentation
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8q\x8q_\x8u\x8u_\x8i\x8i_\x8c\x8c_\x8k\x8k_\x8s\x8s_\x8e\x8e_\x8g\x8g·Produce·a·quickshift·segmentation·of·a·grayscale·or·color
+······image
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8q\x8q_\x8u\x8u_\x8i\x8i_\x8c\x8c_\x8k\x8k_\x8s\x8s_\x8h\x8h_\x8i\x8i_\x8f\x8f_\x8t\x8t·Quick·shift·image·segmentation
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8q\x8q_\x8u\x8u_\x8i\x8i_\x8c\x8c_\x8k\x8k_\x8v\x8v_\x8i\x8i_\x8s\x8s·Create·an·edge·image·from·a·Quickshift·segmentation.
+M\x8MI\x8IS\x8SC\x8C
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8a\x8a_\x8l\x8l_\x8l\x8l_\x8d\x8d_\x8i\x8i_\x8s\x8s_\x8t\x8t_\x82\x82·Pairwise·distances
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8a\x8a_\x8l\x8l_\x8p\x8p_\x8h\x8h_\x8a\x8a_\x8n\x8n_\x8u\x8u_\x8m\x8m·Sort·strings·using·the·Alphanum·algorithm
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8a\x8a_\x8r\x8r_\x8g\x8g_\x8p\x8p_\x8a\x8a_\x8r\x8r_\x8s\x8s_\x8e\x8e·Parse·list·of·parameter-value·pairs.
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8b\x8b_\x8i\x8i_\x8n\x8n_\x8s\x8s_\x8e\x8e_\x8a\x8a_\x8r\x8r_\x8c\x8c_\x8h\x8h·Maps·data·to·bins
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8b\x8b_\x8i\x8i_\x8n\x8n_\x8s\x8s_\x8u\x8u_\x8m\x8m·Binned·summation
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8c\x8c_\x8o\x8o_\x8l\x8l_\x8s\x8s_\x8u\x8u_\x8b\x8b_\x8s\x8s_\x8e\x8e_\x8t\x8t·Select·a·given·number·of·columns
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8s\x8s_\x8v\x8v_\x8m\x8m_\x8p\x8p_\x8e\x8e_\x8g\x8g_\x8a\x8a_\x8s\x8s_\x8o\x8o_\x8s\x8s·[deprecated]
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8s\x8s_\x8v\x8v_\x8m\x8m_\x8t\x8t_\x8r\x8r_\x8a\x8a_\x8i\x8i_\x8n\x8n·Train·a·Support·Vector·Machine
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8t\x8t_\x8h\x8h_\x8r\x8r_\x8e\x8e_\x8a\x8a_\x8d\x8d_\x8s\x8s·Control·VLFeat·computational·threads
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8t\x8t_\x8w\x8w_\x8i\x8i_\x8s\x8s_\x8t\x8t_\x8e\x8e_\x8r\x8r·Random·number·generator
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8v\x8v_\x8e\x8e_\x8r\x8r_\x8s\x8s_\x8i\x8i_\x8o\x8o_\x8n\x8n·Obtain·VLFeat·version·information
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8w\x8w_\x8h\x8h_\x8i\x8i_\x8s\x8s_\x8t\x8t_\x8c\x8c·Weighted·histogram
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8x\x8x_\x8m\x8m_\x8k\x8k_\x8d\x8d_\x8i\x8i_\x8r\x8r·Create·a·directory·recursively.
+S\x8SP\x8PE\x8EC\x8CI\x8IA\x8AL\x8L
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8d\x8d_\x8d\x8d_\x8g\x8g_\x8a\x8a_\x8u\x8u_\x8s\x8s_\x8s\x8s_\x8i\x8i_\x8a\x8a_\x8n\x8n·Second·derivative·of·the·Gaussian·density·function
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8d\x8d_\x8g\x8g_\x8a\x8a_\x8u\x8u_\x8s\x8s_\x8s\x8s_\x8i\x8i_\x8a\x8a_\x8n\x8n·Derivative·of·the·Gaussian·density·function
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8d\x8d_\x8s\x8s_\x8i\x8i_\x8g\x8g_\x8m\x8m_\x8o\x8o_\x8i\x8i_\x8d\x8d·Derivative·of·the·sigmoid·function
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8g\x8g_\x8a\x8a_\x8u\x8u_\x8s\x8s_\x8s\x8s_\x8i\x8i_\x8a\x8a_\x8n\x8n·Standard·Gaussian·density·function
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8r\x8r_\x8c\x8c_\x8o\x8o_\x8s\x8s·RCOS·function
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8s\x8s_\x8i\x8i_\x8g\x8g_\x8m\x8m_\x8o\x8o_\x8i\x8i_\x8d\x8d·Sigmoid·function
+G\x8GE\x8EO\x8OM\x8ME\x8ET\x8TR\x8RY\x8Y
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8h\x8h_\x8a\x8a_\x8t\x8t·Hat·operator
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8h\x8h_\x8a\x8a_\x8t\x8t·Inverse·vl_hat·operator
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8r\x8r_\x8o\x8o_\x8d\x8d_\x8r\x8r·Inverse·Rodrigues'·formula
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8r\x8r_\x8o\x8o_\x8d\x8d_\x8r\x8r·Rodrigues'·formula
+I\x8IM\x8MO\x8OP\x8P
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8d\x8d_\x8w\x8w_\x8a\x8a_\x8f\x8f_\x8f\x8f_\x8i\x8i_\x8n\x8n_\x8e\x8e·Derivative·of·an·affine·warp
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8a\x8a_\x8r\x8r_\x8r\x8r_\x8a\x8a_\x8y\x8y·Flattens·image·array
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8a\x8a_\x8r\x8r_\x8r\x8r_\x8a\x8a_\x8y\x8y_\x8s\x8s_\x8c\x8c·Scale·and·flattens·image·array
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8d\x8d_\x8i\x8i_\x8s\x8s_\x8t\x8t_\x8t\x8t_\x8f\x8f·Image·distance·transform
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8d\x8d_\x8o\x8o_\x8w\x8w_\x8n\x8n·Downsample·an·image·by·two
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8g\x8g_\x8r\x8r_\x8a\x8a_\x8d\x8d·Image·gradient
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8i\x8i_\x8n\x8n_\x8t\x8t_\x8e\x8e_\x8g\x8g_\x8r\x8r_\x8a\x8a_\x8l\x8l·Compute·integral·image
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8p\x8p_\x8a\x8a_\x8t\x8t_\x8t\x8t_\x8e\x8e_\x8r\x8r_\x8n\x8n·Generate·an·image·from·a·stock·pattern
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8r\x8r_\x8e\x8e_\x8a\x8a_\x8d\x8d_\x8b\x8b_\x8w\x8w·Reads·an·image·as·gray-scale
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8r\x8r_\x8e\x8e_\x8a\x8a_\x8d\x8d_\x8g\x8g_\x8r\x8r_\x8a\x8a_\x8y\x8y·Reads·an·image·as·gray-scale
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8s\x8s_\x8c\x8c·Scale·image
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8s\x8s_\x8m\x8m_\x8o\x8o_\x8o\x8o_\x8t\x8t_\x8h\x8h·Smooth·image
+····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8i\x8i_\x8m\x8m_\x8u\x8u_\x8p\x8p·Upsample·an·image·by·two


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62	······<span·class='page'><a·href="../doc.html">Documentation</a></span><span·class='separator'>></span><span·class='page'><a·href="matlab.html">MATLAB·API</a></span><span·class='separator'>></span><span·class='page'><a·href="vl_aib.html">AIB·-·vl_aib</a></span>	62	······<span·class='page'><a·href="../doc.html">Documentation</a></span><span·class='separator'>></span><span·class='page'><a·href="matlab.html">MATLAB·API</a></span><span·class='separator'>></span><span·class='page'><a·href="vl_aib.html">AIB·-·vl_aib</a></span>
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69	<ul·class="breadcrumb"><li><a·href="matlab.html">Index</a></li><li><a·href="vl_~~vlad~~.html">Prev</a></li><li><a·href="vl_aibcut.html">Next</a></li></ul><div·class="documentation"><p>	69	<ul·class="breadcrumb"><li><a·href="matlab.html">Index</a></li><li><a·href="vl_rodr.html">Prev</a></li><li><a·href="vl_aibcut.html">Next</a></li></ul><div·class="documentation"><p>
70	PARENTS·=·<a·href="vl_aib.html">VL_AIB</a>(PCX)·runs·Agglomerative·Information·Bottleneck	70	PARENTS·=·<a·href="vl_aib.html">VL_AIB</a>(PCX)·runs·Agglomerative·Information·Bottleneck
71	(AIB)·on·the·class-feature·co-occurrence·matrix·PCX·and·returns·a	71	(AIB)·on·the·class-feature·co-occurrence·matrix·PCX·and·returns·a
72	vector·PARENTS·representing·the·sequence·of·compressed·AIB	72	vector·PARENTS·representing·the·sequence·of·compressed·AIB
73	alphabets.	73	alphabets.
74	</p><p>	74	</p><p>
75	PCX·is·the·joint·probability·of·the·occurrence·of·the·class·label	75	PCX·is·the·joint·probability·of·the·occurrence·of·the·class·label
76	C·and·the·feature·value·X.·PCX·has·one·row·for·each·class·label	76	C·and·the·feature·value·X.·PCX·has·one·row·for·each·class·label


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1	_\x8D_\x8o_\x8c_\x8u_\x8m_\x8e_\x8n_\x8t_\x8a_\x8t_\x8i_\x8o_\x8n>_\x8M_\x8A_\x8T_\x8L_\x8A_\x8B_\x8·_\x8A_\x8P_\x8I>_\x8A_\x8I_\x8B_\x8·_\x8-_\x8·_\x8v_\x8l_\x8__\x8a_\x8i_\x8b_\x8h_\x8i_\x8s_\x8t	1	_\x8D_\x8o_\x8c_\x8u_\x8m_\x8e_\x8n_\x8t_\x8a_\x8t_\x8i_\x8o_\x8n>_\x8M_\x8A_\x8T_\x8L_\x8A_\x8B_\x8·_\x8A_\x8P_\x8I>_\x8A_\x8I_\x8B_\x8·_\x8-_\x8·_\x8v_\x8l_\x8__\x8a_\x8i_\x8b_\x8h_\x8i_\x8s_\x8t
2	····*·_\x8I_\x8n_\x8d_\x8e_\x8x	2	····*·_\x8I_\x8n_\x8d_\x8e_\x8x
3	····*·_\x8P_\x8r_\x8e_\x8v	3	····*·_\x8P_\x8r_\x8e_\x8v
4	····*·_\x8N_\x8e_\x8x_\x8t
5	H·=·_\x8V_\x8L_\x8__\x8A_\x8I_\x8B_\x8H_\x8I_\x8S_\x8T(PARENTS,·DATA)·computes·the·histogram·of·the·data·points·DATA·on	4	H·=·_\x8V_\x8L_\x8__\x8A_\x8I_\x8B_\x8H_\x8I_\x8S_\x8T(PARENTS,·DATA)·computes·the·histogram·of·the·data·points·DATA·on
6	the·VL_AIB·tree·defined·by·PARENTS.·Each·element·of·DATA·indexes·one·of·the	5	the·VL_AIB·tree·defined·by·PARENTS.·Each·element·of·DATA·indexes·one·of·the
7	leaves·of·the·VL_AIB·tree.	6	leaves·of·the·VL_AIB·tree.
8	H·=·_\x8V_\x8L_\x8__\x8A_\x8I_\x8B_\x8H_\x8I_\x8S_\x8T(PARENTS,·DATA,·'HIST')·treats·DATA·as·an·histograms.·In·this	7	H·=·_\x8V_\x8L_\x8__\x8A_\x8I_\x8B_\x8H_\x8I_\x8S_\x8T(PARENTS,·DATA,·'HIST')·treats·DATA·as·an·histograms.·In·this
9	case·each·compoment·of·DATA·is·the·number·of·occurences·of·the·VL_AIB·leaves	8	case·each·compoment·of·DATA·is·the·number·of·occurences·of·the·VL_AIB·leaves
10	corresponding·to·that·component.	9	corresponding·to·that·component.
11	H·has·the·same·dimension·of·parents·and·counts·how·many·data·points·are	10	H·has·the·same·dimension·of·parents·and·counts·how·many·data·points·are


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Offset 1, 10 lines modified		Offset 1, 11 lines modified
1	_\x8D_\x8o_\x8c_\x8u_\x8m_\x8e_\x8n_\x8t_\x8a_\x8t_\x8i_\x8o_\x8n>_\x8M_\x8A_\x8T_\x8L_\x8A_\x8B_\x8·_\x8A_\x8P_\x8I>_\x8G_\x8M_\x8M_\x8·_\x8-_\x8·_\x8v_\x8l_\x8__\x8g_\x8m_\x8m	1	_\x8D_\x8o_\x8c_\x8u_\x8m_\x8e_\x8n_\x8t_\x8a_\x8t_\x8i_\x8o_\x8n>_\x8M_\x8A_\x8T_\x8L_\x8A_\x8B_\x8·_\x8A_\x8P_\x8I>_\x8G_\x8M_\x8M_\x8·_\x8-_\x8·_\x8v_\x8l_\x8__\x8g_\x8m_\x8m
2	····*·_\x8I_\x8n_\x8d_\x8e_\x8x	2	····*·_\x8I_\x8n_\x8d_\x8e_\x8x
3	····*·_\x8P_\x8r_\x8e_\x8v	3	····*·_\x8P_\x8r_\x8e_\x8v
		4	····*·_\x8N_\x8e_\x8x_\x8t
4	[MEANS,·COVARIANCES,·PRIORS]·=·_\x8V_\x8L_\x8__\x8G_\x8M_\x8M(X,·NUMCLUSTERS)·fits·a·GMM·with	5	[MEANS,·COVARIANCES,·PRIORS]·=·_\x8V_\x8L_\x8__\x8G_\x8M_\x8M(X,·NUMCLUSTERS)·fits·a·GMM·with
5	NUMCLUSTERS·components·to·the·data·X.·Each·column·of·X·represent·a·sample	6	NUMCLUSTERS·components·to·the·data·X.·Each·column·of·X·represent·a·sample
6	point.·X·may·be·either·SINGLE·or·DOUBLE.·MEANS,·COVARIANCES,·and·PRIORS·are	7	point.·X·may·be·either·SINGLE·or·DOUBLE.·MEANS,·COVARIANCES,·and·PRIORS·are
7	respectively·the·means,·the·diagonal·covariances,·and·the·prior·probabilities	8	respectively·the·means,·the·diagonal·covariances,·and·the·prior·probabilities
8	of·the·Guassian·modes.·MEANS·and·COVARIANCES·have·the·same·number·of·rows·as·X	9	of·the·Guassian·modes.·MEANS·and·COVARIANCES·have·the·same·number·of·rows·as·X
9	and·NUMCLUSTERS·columns·with·one·column·per·mode.·PRIORS·is·a·row·vector·with	10	and·NUMCLUSTERS·columns·with·one·column·per·mode.·PRIORS·is·a·row·vector·with
10	NUMCLUSTER·entries·summing·to·one.	11	NUMCLUSTER·entries·summing·to·one.