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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>AIB</b><ul>
 73 <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>
 74 <b>GMM</b><ul>
 75 <li><b><a·href="vl_gmm.html">vl_gmm</a></b>·Learn·a·Gaussian·Mixture·Model·using·EM</li></ul>
72 <b>MISC</b><ul>76 <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>77 <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>FISHER</b><ul> 
75 <li><b><a·href="vl_fisher.html">vl_fisher</a></b>·Fisher·vector·feature·encoding</li></ul> 
76 <b>SLIC</b><ul> 
77 <li><b><a·href="vl_slic.html">vl_slic</a></b>·SLIC·superpixels</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> 
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> 
82 <b>SPECIAL</b><ul> 
83 <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> 
84 <b>KMEANS</b><ul>78 <b>KMEANS</b><ul>
85 <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>79 <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>
86 <b>AIB</b><ul> 
87 <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> 
88 <b>VLAD</b><ul>80 <b>VLAD</b><ul>
89 <li><b><a·href="vl_vlad.html">vl_vlad</a></b>·VLAD·feature·encoding</li></ul>81 <li><b><a·href="vl_vlad.html">vl_vlad</a></b>·VLAD·feature·encoding</li></ul>
90 <b>GMM</b><ul> 
91 <li><b><a·href="vl_gmm.html">vl_gmm</a></b>·Learn·a·Gaussian·Mixture·Model·using·EM</li></ul> 
92 <b>QUICKSHIFT</b><ul> 
93 <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> 
94 <b>PLOTOP</b><ul>82 <b>PLOTOP</b><ul>
95 <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>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>
96 <b>MSER</b><ul>84 <b>MSER</b><ul>
97 <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>85 <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>
 86 <b>IMOP</b><ul>
 87 <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>
 88 <b>QUICKSHIFT</b><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>
98 <b>GEOMETRY</b><ul>90 <b>GEOMETRY</b><ul>
99 <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>91 <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>
 92 <b>FISHER</b><ul>
 93 <li><b><a·href="vl_fisher.html">vl_fisher</a></b>·Fisher·vector·feature·encoding</li></ul>
 94 <b>SIFT</b><ul>
 95 <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>
 96 <b>SPECIAL</b><ul>
 97 <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>
 98 <b>SLIC</b><ul>
 99 <li><b><a·href="vl_slic.html">vl_slic</a></b>·SLIC·superpixels</li></ul>
  
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2 ····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8c\x8c_\x8o\x8o_\x8m\x8m_\x8p\x8p_\x8i\x8i_\x8l\x8l_\x8e\x8e·Compile·VLFeat·MEX·files2 ····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8c\x8c_\x8o\x8o_\x8m\x8m_\x8p\x8p_\x8i\x8i_\x8l\x8l_\x8e\x8e·Compile·VLFeat·MEX·files
3 ····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8d\x8d_\x8e\x8e_\x8m\x8m_\x8o\x8o·Run·VLFeat·demos3 ····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8d\x8d_\x8e\x8e_\x8m\x8m_\x8o\x8o·Run·VLFeat·demos
4 ····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8h\x8h_\x8a\x8a_\x8r\x8r_\x8r\x8r_\x8i\x8i_\x8s\x8s·Harris·corner·strength4 ····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8h\x8h_\x8a\x8a_\x8r\x8r_\x8r\x8r_\x8i\x8i_\x8s\x8s·Harris·corner·strength
5 ····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8h\x8h_\x8e\x8e_\x8l\x8l_\x8p\x8p·VLFeat·toolbox·builtin·help5 ····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8h\x8h_\x8e\x8e_\x8l\x8l_\x8p\x8p·VLFeat·toolbox·builtin·help
6 ····*·_\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·commands6 ····*·_\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
7 ····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8r\x8r_\x8o\x8o_\x8o\x8o_\x8t\x8t·Obtain·VLFeat·root·path7 ····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8r\x8r_\x8o\x8o_\x8o\x8o_\x8t\x8t·Obtain·VLFeat·root·path
8 ····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8s\x8s_\x8e\x8e_\x8t\x8t_\x8u\x8u_\x8p\x8p·Add·VLFeat·Toolbox·to·the·path8 ····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8s\x8s_\x8e\x8e_\x8t\x8t_\x8u\x8u_\x8p\x8p·Add·VLFeat·Toolbox·to·the·path
 9 A\x8AI\x8IB\x8B
 10 ····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8a\x8a_\x8i\x8i_\x8b\x8b·Agglomerative·Information·Bottleneck
 11 ····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8a\x8a_\x8i\x8i_\x8b\x8b_\x8c\x8c_\x8u\x8u_\x8t\x8t·Cut·VL_AIB·tree
 12 ····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8a\x8a_\x8i\x8i_\x8b\x8b_\x8c\x8c_\x8u\x8u_\x8t\x8t_\x8h\x8h_\x8i\x8i_\x8s\x8s_\x8t\x8t·Compute·a·histogram·by·using·an·AIB·compressed·alphabet
 13 ····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8a\x8a_\x8i\x8i_\x8b\x8b_\x8c\x8c_\x8u\x8u_\x8t\x8t_\x8p\x8p_\x8u\x8u_\x8s\x8s_\x8h\x8h·Quantize·based·on·VL_AIB·cut
 14 ····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8a\x8a_\x8i\x8i_\x8b\x8b_\x8h\x8h_\x8i\x8i_\x8s\x8s_\x8t\x8t·Compute·histogram·over·VL_AIB·tree
 15 G\x8GM\x8MM\x8M
 16 ····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8g\x8g_\x8m\x8m_\x8m\x8m·Learn·a·Gaussian·Mixture·Model·using·EM
9 M\x8MI\x8IS\x8SC\x8C17 M\x8MI\x8IS\x8SC\x8C
10 ····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8a\x8a_\x8l\x8l_\x8l\x8l_\x8d\x8d_\x8i\x8i_\x8s\x8s_\x8t\x8t_\x82\x82·Pairwise·distances18 ····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8a\x8a_\x8l\x8l_\x8l\x8l_\x8d\x8d_\x8i\x8i_\x8s\x8s_\x8t\x8t_\x82\x82·Pairwise·distances
11 ····*·_\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·algorithm19 ····*·_\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
12 ····*·_\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.20 ····*·_\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.
13 ····*·_\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·bins21 ····*·_\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
14 ····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8b\x8b_\x8i\x8i_\x8n\x8n_\x8s\x8s_\x8u\x8u_\x8m\x8m·Binned·summation22 ····*·_\x8v\x8v_\x8l\x8l_\x8_\x8__\x8b\x8b_\x8i\x8i_\x8n\x8n_\x8s\x8s_\x8u\x8u_\x8m\x8m·Binned·summation
15 ····*·_\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·columns23 ····*·_\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
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69 <ul·class="breadcrumb"><li><a·href="matlab.html">Index</a></li><li><a·href="vl_kmeans.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_setup.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·Bottleneck70 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·a71 (AIB)·on·the·class-feature·co-occurrence·matrix·PCX·and·returns·a
72 vector·PARENTS·representing·the·sequence·of·compressed·AIB72 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·label75 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·label76 C·and·the·feature·value·X.·PCX·has·one·row·for·each·class·label
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64 ··</div>64 ··</div>
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69 <ul·class="breadcrumb"><li><a·href="matlab.html">Index</a></li><li><a·href="vl_aibcutpush.html">Prev</a></li><li><a·href="vl_vlad.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_aibcutpush.html">Prev</a></li><li><a·href="vl_gmm.html">Next</a></li></ul><div·class="documentation"><p>
70 H·=·<a·href="vl_aibhist.html">VL_AIBHIST</a>(PARENTS,·DATA)·computes·the·histogram·of·the·data70 H·=·<a·href="vl_aibhist.html">VL_AIBHIST</a>(PARENTS,·DATA)·computes·the·histogram·of·the·data
71 points·DATA·on·the·VL_AIB·tree·defined·by·PARENTS.·Each·element·of71 points·DATA·on·the·VL_AIB·tree·defined·by·PARENTS.·Each·element·of
72 DATA·indexes·one·of·the·leaves·of·the·VL_AIB·tree.72 DATA·indexes·one·of·the·leaves·of·the·VL_AIB·tree.
73 </p><p>73 </p><p>
74 H·=·<a·href="vl_aibhist.html">VL_AIBHIST</a>(PARENTS,·DATA,·'HIST')·treats·DATA·as·an·histograms.74 H·=·<a·href="vl_aibhist.html">VL_AIBHIST</a>(PARENTS,·DATA,·'HIST')·treats·DATA·as·an·histograms.
75 In·this·case·each·compoment·of·DATA·is·the·number·of·occurences·of75 In·this·case·each·compoment·of·DATA·is·the·number·of·occurences·of
76 the·VL_AIB·leaves·corresponding·to·that·component.76 the·VL_AIB·leaves·corresponding·to·that·component.
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64 ··</div>64 ··</div>
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69 <ul·class="breadcrumb"><li><a·href="matlab.html">Index</a></li><li><a·href="vl_setup.html">Prev</a></li><li><a·href="vl_alphanum.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_gmm.html">Prev</a></li><li><a·href="vl_alphanum.html">Next</a></li></ul><div·class="documentation"><p>
70 D·=·<a·href="vl_alldist2.html">VL_ALLDIST2</a>(X,Y)·returns·the·pairwise·distance·matrix·D·of·the70 D·=·<a·href="vl_alldist2.html">VL_ALLDIST2</a>(X,Y)·returns·the·pairwise·distance·matrix·D·of·the
71 columns·of·S1·and·S2,·yielding71 columns·of·S1·and·S2,·yielding
72 </p><pre>72 </p><pre>
73 ··D(i,j)·=·sum·(X(:,i)·-·Y(:,j)).^273 ··D(i,j)·=·sum·(X(:,i)·-·Y(:,j)).^2
74 </pre><p>74 </pre><p>
75 <a·href="vl_alldist2.html">VL_ALLDIST2</a>(X)·returns·the·pairwise·distance·matrix·fo·the·columns·of75 <a·href="vl_alldist2.html">VL_ALLDIST2</a>(X)·returns·the·pairwise·distance·matrix·fo·the·columns·of
76 S,·yielding76 S,·yielding
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63 ····</div>63 ····</div>
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69 <ul·class="breadcrumb"><li><a·href="matlab.html">Index</a></li><li><a·href="vl_quickvis.html">Prev</a></li><li><a·href="vl_click.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_vlad.html">Prev</a></li><li><a·href="vl_click.html">Next</a></li></ul><div·class="documentation"><p>
70 <a·href="vl_cf.html">VL_CF</a>()·creates·a·copy·of·the·current·figure·and·returns·<a·href="vl_cf.html">VL_CF</a>(H0)70 <a·href="vl_cf.html">VL_CF</a>()·creates·a·copy·of·the·current·figure·and·returns·<a·href="vl_cf.html">VL_CF</a>(H0)
71 creates·a·copy·of·the·figure(s)·whose·handle·is·H0.··H·=71 creates·a·copy·of·the·figure(s)·whose·handle·is·H0.··H·=
72 <a·href="vl_cf.html">VL_CF</a>(...)·returns·the·handles·of·the·copies.72 <a·href="vl_cf.html">VL_CF</a>(...)·returns·the·handles·of·the·copies.
73 </p><p>73 </p><p>
74 See·also:·<a·href="vl_help.html">VL_HELP</a>().74 See·also:·<a·href="vl_help.html">VL_HELP</a>().
75 </p></div></div>75 </p></div></div>
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70 <a·href="vl_covdet.html">VL_COVDET</a>()·implements·a·number·of·co-variant·feature·detectors70 <a·href="vl_covdet.html">VL_COVDET</a>()·implements·a·number·of·co-variant·feature·detectors
71 (e.g.,·DoG,·Harris-Affine,·Harris-Laplace)·and·corresponding71 (e.g.,·DoG,·Harris-Affine,·Harris-Laplace)·and·corresponding
72 feature·descriptors·(SIFT,·raw·patches).72 feature·descriptors·(SIFT,·raw·patches).
73 </p><p>73 </p><p>
74 F·=·<a·href="vl_covdet.html">VL_COVDET</a>(I)·detects·upright·scale·and·translation·covariant74 F·=·<a·href="vl_covdet.html">VL_COVDET</a>(I)·detects·upright·scale·and·translation·covariant
75 features·based·on·the·Difference·of·Gaussian·(Dog)·cornerness75 features·based·on·the·Difference·of·Gaussian·(Dog)·cornerness
76 measure·from·image·I·(a·grayscale·image·of·class·SINGLE).·Each76 measure·from·image·I·(a·grayscale·image·of·class·SINGLE).·Each
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69 <ul·class="breadcrumb"><li><a·href="matlab.html">Index</a></li><li><a·href="vl_slic.html">Prev</a></li><li><a·href="vl_imarray.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_mser.html">Prev</a></li><li><a·href="vl_imarray.html">Next</a></li></ul><div·class="documentation"><p>
70 [DWX,DWY]=<a·href="vl_dwaffine.html">VL_DWAFFINE</a>(X,Y)·returns·the·derivative·of·the·2-D·affine70 [DWX,DWY]=<a·href="vl_dwaffine.html">VL_DWAFFINE</a>(X,Y)·returns·the·derivative·of·the·2-D·affine
71 warp·[WX;·WY]·=·[A·T]·[X;·Y]·with·respect·to·the·parameters·A,T71 warp·[WX;·WY]·=·[A·T]·[X;·Y]·with·respect·to·the·parameters·A,T
72 computed·at·points·X,Y.72 computed·at·points·X,Y.
73 </p><p>73 </p><p>
74 See·also:·<a·href="vl_waffine.html">VL_WAFFINE</a>(),·<a·href="vl_help.html">VL_HELP</a>().74 See·also:·<a·href="vl_waffine.html">VL_WAFFINE</a>(),·<a·href="vl_help.html">VL_HELP</a>().
75 </p></div></div>75 </p></div></div>
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70 ENC·=·<a·href="vl_fisher.html">VL_FISHER</a>(X,·MEANS,·COVARIANCES,·PRIORS)·computes·the·Fisher70 ENC·=·<a·href="vl_fisher.html">VL_FISHER</a>(X,·MEANS,·COVARIANCES,·PRIORS)·computes·the·Fisher
71 vector·encoding·of·the·vectors·X·relative·to·the·Gaussian·mixture71 vector·encoding·of·the·vectors·X·relative·to·the·Gaussian·mixture
72 model·with·means·MEANS,·covariances·COVARIANCES,·and·prior·mode72 model·with·means·MEANS,·covariances·COVARIANCES,·and·prior·mode
73 probabilities·PRIORS.73 probabilities·PRIORS.
74 </p><p>74 </p><p>
75 X·has·one·column·per·data·vector·(e.g.·a·SIFT·descriptor),·and75 X·has·one·column·per·data·vector·(e.g.·a·SIFT·descriptor),·and
76 MEANS·and·COVARIANCES·one·column·per·GMM·component·(covariance76 MEANS·and·COVARIANCES·one·column·per·GMM·component·(covariance
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70 [LABELS·CLUSTERS]·=·<a·href="vl_flatmap.html">VL_FLATMAP</a>(MAP)·labels·each·tree·of·the·forest·contained70 [LABELS·CLUSTERS]·=·<a·href="vl_flatmap.html">VL_FLATMAP</a>(MAP)·labels·each·tree·of·the·forest·contained
71 in·MAP.·LABELS·contains·the·linear·index·of·the·root·node·in·MAP,·CLUSTERS71 in·MAP.·LABELS·contains·the·linear·index·of·the·root·node·in·MAP,·CLUSTERS
72 instead·contains·a·label·between·1·and·the·number·of·clusters.72 instead·contains·a·label·between·1·and·the·number·of·clusters.
73 </p><p>73 </p><p>
74 See·also:·<a·href="vl_help.html">VL_HELP</a>().74 See·also:·<a·href="vl_help.html">VL_HELP</a>().
75 </p></div></div>75 </p></div></div>
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70 [MEANS,·COVARIANCES,·PRIORS]·=·<a·href="vl_gmm.html">VL_GMM</a>(X,·NUMCLUSTERS)·fits·a·GMM·with70 [MEANS,·COVARIANCES,·PRIORS]·=·<a·href="vl_gmm.html">VL_GMM</a>(X,·NUMCLUSTERS)·fits·a·GMM·with
71 NUMCLUSTERS·components·to·the·data·X.·Each·column·of·X·represent·a71 NUMCLUSTERS·components·to·the·data·X.·Each·column·of·X·represent·a
72 sample·point.·X·may·be·either·SINGLE·or·DOUBLE.·MEANS,·COVARIANCES,·and72 sample·point.·X·may·be·either·SINGLE·or·DOUBLE.·MEANS,·COVARIANCES,·and
73 PRIORS·are·respectively·the·means,·the·diagonal·covariances,·and73 PRIORS·are·respectively·the·means,·the·diagonal·covariances,·and
74 the·prior·probabilities·of·the·Guassian·modes.·MEANS·and·COVARIANCES74 the·prior·probabilities·of·the·Guassian·modes.·MEANS·and·COVARIANCES
75 have·the·same·number·of·rows·as·X·and·NUMCLUSTERS·columns·with·one75 have·the·same·number·of·rows·as·X·and·NUMCLUSTERS·columns·with·one
76 column·per·mode.·PRIORS·is·a·row·vector·with·NUMCLUSTER·entries76 column·per·mode.·PRIORS·is·a·row·vector·with·NUMCLUSTER·entries
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69 <ul·class="breadcrumb"><li><a·href="matlab.html">Index</a></li><li><a·href="vl_mser.html">Prev</a></li><li><a·href="vl_ihat.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_quickvis.html">Prev</a></li><li><a·href="vl_ihat.html">Next</a></li></ul><div·class="documentation"><p>
70 H·=·<a·href="vl_hat.html">VL_HAT</a>(OM)·returns·the·skew·symmetric·matrix·by·taking·the·&quot;hat&quot;70 H·=·<a·href="vl_hat.html">VL_HAT</a>(OM)·returns·the·skew·symmetric·matrix·by·taking·the·&quot;hat&quot;
71 of·the·3D·vector·OM.71 of·the·3D·vector·OM.
72 </p><p>72 </p><p>
73 See·also:·<a·href="vl_ihat.html">VL_IHAT</a>(),·<a·href="vl_help.html">VL_HELP</a>().73 See·also:·<a·href="vl_ihat.html">VL_IHAT</a>(),·<a·href="vl_help.html">VL_HELP</a>().
74 </p></div></div>74 </p></div></div>
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70 [TREE,ASGN]·=·<a·href="vl_hikmeans.html">VL_HIKMEANS</a>(DATA,K,NLEAVES)·applies·integer·K-menas70 [TREE,ASGN]·=·<a·href="vl_hikmeans.html">VL_HIKMEANS</a>(DATA,K,NLEAVES)·applies·integer·K-menas
71 recursively·to·cluster·the·data·DATA,·returing·a·structure·TREE71 recursively·to·cluster·the·data·DATA,·returing·a·structure·TREE
72 representing·the·clusters·and·a·vector·ASGN·with·the·data·to72 representing·the·clusters·and·a·vector·ASGN·with·the·data·to
73 cluster·assignments.·The·depth·of·the·recursive·partition·is73 cluster·assignments.·The·depth·of·the·recursive·partition·is
74 computed·so·that·at·least·NLEAVES·are·generated.74 computed·so·that·at·least·NLEAVES·are·generated.
75 </p><p>75 </p><p>
76 <a·href="vl_hikmeans.html">VL_HIKMEANS</a>()·is·built·on·top·of·<a·href="vl_ikmeans.html">VL_IKMEANS</a>()·and·requires·the76 <a·href="vl_hikmeans.html">VL_HIKMEANS</a>()·is·built·on·top·of·<a·href="vl_ikmeans.html">VL_IKMEANS</a>()·and·requires·the
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70 [C,·A]·=·<a·href="vl_kmeans.html">VL_KMEANS</a>(X,·NUMCENTERS)·clusters·the·columns·of·the70 [C,·A]·=·<a·href="vl_kmeans.html">VL_KMEANS</a>(X,·NUMCENTERS)·clusters·the·columns·of·the
71 matrix·X·in·NUMCENTERS·centers·C·using·k-means.·X·may·be·either71 matrix·X·in·NUMCENTERS·centers·C·using·k-means.·X·may·be·either
72 SINGLE·or·DOUBLE.·C·has·the·same·number·of·rows·of·X·and·NUMCENTER72 SINGLE·or·DOUBLE.·C·has·the·same·number·of·rows·of·X·and·NUMCENTER
73 columns,·with·one·column·per·center.·A·is·a·UINT32·row·vector73 columns,·with·one·column·per·center.·A·is·a·UINT32·row·vector
74 specifying·the·assignments·of·the·data·X·to·the·NUMCENTER74 specifying·the·assignments·of·the·data·X·to·the·NUMCENTER
75 centers.75 centers.
76 </p><p>76 </p><p>
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70 R=<a·href="vl_mser.html">VL_MSER</a>(I)·computes·the·Maximally·Stable·Extremal·Regions·(MSER)70 R=<a·href="vl_mser.html">VL_MSER</a>(I)·computes·the·Maximally·Stable·Extremal·Regions·(MSER)
71 [1]·of·image·I·with·stability·threshold·DELTA.·I·is·any·array·of71 [1]·of·image·I·with·stability·threshold·DELTA.·I·is·any·array·of
72 class·UINT8.·R·is·a·vector·of·region·seeds.72 class·UINT8.·R·is·a·vector·of·region·seeds.
73 </p><p>73 </p><p>
74 A·(maximally·stable)·extremal·region·is·just·a·connected·component74 A·(maximally·stable)·extremal·region·is·just·a·connected·component
75 of·one·of·the·level·sets·of·the·image·I.··An·extremal·region·can75 of·one·of·the·level·sets·of·the·image·I.··An·extremal·region·can
76 be·recovered·from·a·seed·X·as·the·connected·component·of·the·level76 be·recovered·from·a·seed·X·as·the·connected·component·of·the·level
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70 IEDGE·=·<a·href="vl_quickvis.html">VL_QUICKVIS</a>(I,·RATIO,·KERNELSIZE,·MAXDIST,·MAXCUTS)·creates·an·edge70 IEDGE·=·<a·href="vl_quickvis.html">VL_QUICKVIS</a>(I,·RATIO,·KERNELSIZE,·MAXDIST,·MAXCUTS)·creates·an·edge
71 stability·image·from·a·Quickshift·segmentation.·RATIO·controls·the·tradeoff71 stability·image·from·a·Quickshift·segmentation.·RATIO·controls·the·tradeoff
72 between·color·consistency·and·spatial·consistency·(See·VL_QUICKSEG)·and72 between·color·consistency·and·spatial·consistency·(See·VL_QUICKSEG)·and
73 KERNELSIZE·controls·the·bandwidth·of·the·density·estimator·(See·VL_QUICKSEG,73 KERNELSIZE·controls·the·bandwidth·of·the·density·estimator·(See·VL_QUICKSEG,
74 VL_QUICKSHIFT).·MAXDIST·is·the·maximum·distance·between·neighbors·which74 VL_QUICKSHIFT).·MAXDIST·is·the·maximum·distance·between·neighbors·which
75 increase·the·density.75 increase·the·density.
76 </p><p>76 </p><p>
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70 R·=·<a·href="vl_rodr.html">VL_RODR</a>(OM)·where·OM·a·3-dimensional·column·vector·computes·the70 R·=·<a·href="vl_rodr.html">VL_RODR</a>(OM)·where·OM·a·3-dimensional·column·vector·computes·the
71 Rodrigues'·formula·of·OM,·returning·the·rotation·matrix·R·=71 Rodrigues'·formula·of·OM,·returning·the·rotation·matrix·R·=
72 expm(vl_hat(OM)).72 expm(vl_hat(OM)).
73 </p><p>73 </p><p>
74 [R,DR]·=·<a·href="vl_rodr.html">VL_RODR</a>(OM)·computes·also·the·derivative·of·the·Rodrigues74 [R,DR]·=·<a·href="vl_rodr.html">VL_RODR</a>(OM)·computes·also·the·derivative·of·the·Rodrigues
75 formula.·In·matrix·notation·this·is·the·expression75 formula.·In·matrix·notation·this·is·the·expression
76 </p><pre>76 </p><pre>
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2 ····*·_\x8I_\x8n_\x8d_\x8e_\x8x2 ····*·_\x8I_\x8n_\x8d_\x8e_\x8x
3 ····*·_\x8P_\x8r_\x8e_\x8v3 ····*·_\x8P_\x8r_\x8e_\x8v
 4 ····*·_\x8N_\x8e_\x8x_\x8t
4 R·=·_\x8V_\x8L_\x8__\x8R_\x8O_\x8D_\x8R(OM)·where·OM·a·3-dimensional·column·vector·computes·the·Rodrigues'5 R·=·_\x8V_\x8L_\x8__\x8R_\x8O_\x8D_\x8R(OM)·where·OM·a·3-dimensional·column·vector·computes·the·Rodrigues'
5 formula·of·OM,·returning·the·rotation·matrix·R·=·expm(vl_hat(OM)).6 formula·of·OM,·returning·the·rotation·matrix·R·=·expm(vl_hat(OM)).
6 [R,DR]·=·_\x8V_\x8L_\x8__\x8R_\x8O_\x8D_\x8R(OM)·computes·also·the·derivative·of·the·Rodrigues·formula.·In7 [R,DR]·=·_\x8V_\x8L_\x8__\x8R_\x8O_\x8D_\x8R(OM)·computes·also·the·derivative·of·the·Rodrigues·formula.·In
7 matrix·notation·this·is·the·expression8 matrix·notation·this·is·the·expression
8 ········d(vec·expm(vl_hat(OM))·)9 ········d(vec·expm(vl_hat(OM))·)
9 ··dR·=·----------------------.10 ··dR·=·----------------------.
10 ···············d·om^T11 ···············d·om^T
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64 ··</div>64 ··</div>
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68 ········<div·class="mdoc">68 ········<div·class="mdoc">
69 <ul·class="breadcrumb"><li><a·href="matlab.html">Index</a></li><li><a·href="vl_root.html">Prev</a></li><li><a·href="vl_alldist2.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_root.html">Prev</a></li><li><a·href="vl_aib.html">Next</a></li></ul><div·class="documentation"><p>
70 PATH·=·<a·href="vl_setup.html">VL_SETUP</a>()·adds·the·VLFeat·Toolbox·to·MATLAB·path·and70 PATH·=·<a·href="vl_setup.html">VL_SETUP</a>()·adds·the·VLFeat·Toolbox·to·MATLAB·path·and
71 returns·the·path·PATH·to·the·VLFeat·package.71 returns·the·path·PATH·to·the·VLFeat·package.
72 </p><p>72 </p><p>
73 <a·href="vl_setup.html">VL_SETUP</a>('NOPREFIX')·adds·aliases·to·each·function·that·do·not73 <a·href="vl_setup.html">VL_SETUP</a>('NOPREFIX')·adds·aliases·to·each·function·that·do·not
74 contain·the·VL_·prefix.·For·example,·with·this·option·it·is74 contain·the·VL_·prefix.·For·example,·with·this·option·it·is
75 possible·to·use·SIFT()·instead·of·<a·href="vl_sift.html">VL_SIFT</a>().75 possible·to·use·SIFT()·instead·of·<a·href="vl_sift.html">VL_SIFT</a>().
76 </p><p>76 </p><p>
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63 ····</div>63 ····</div>
64 ··</div>64 ··</div>
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 ········<div·class="mdoc">68 ········<div·class="mdoc">
69 <ul·class="breadcrumb"><li><a·href="matlab.html">Index</a></li><li><a·href="vl_rcos.html">Prev</a></li><li><a·href="vl_hikmeans.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_rcos.html">Prev</a></li><li><a·href="vl_slic.html">Next</a></li></ul><div·class="documentation"><p>
70 Y·=·<a·href="vl_sigmoid.html">VL_SIGMOID</a>(X)·returns70 Y·=·<a·href="vl_sigmoid.html">VL_SIGMOID</a>(X)·returns
71 </p><pre>71 </p><pre>
72 ·Y·=·1·./·(1·+·EXP(X))·;72 ·Y·=·1·./·(1·+·EXP(X))·;
73 </pre><dl><dt>73 </pre><dl><dt>
74 Remark74 Remark
75 </dt><dd><p>75 </dt><dd><p>
76 Useful·properties·of·the·sigmoid·function·are:76 Useful·properties·of·the·sigmoid·function·are:
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63 ····</div>63 ····</div>
64 ··</div>64 ··</div>
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 ········<div·class="mdoc">68 ········<div·class="mdoc">
69 <ul·class="breadcrumb"><li><a·href="matlab.html">Index</a></li><li><a·href="vl_fisher.html">Prev</a></li><li><a·href="vl_dwaffine.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_sigmoid.html">Prev</a></li></ul><div·class="documentation"><p>
70 SEGMENTS·=·<a·href="vl_slic.html">VL_SLIC</a>(IM,·REGIONSIZE,·REGULARIZER)·extracts·the·SLIC70 SEGMENTS·=·<a·href="vl_slic.html">VL_SLIC</a>(IM,·REGIONSIZE,·REGULARIZER)·extracts·the·SLIC
71 superpixes·[1]·from·image·IM.·REGIONSIZE·is·the·starting·size·of71 superpixes·[1]·from·image·IM.·REGIONSIZE·is·the·starting·size·of
72 the·superpixels·and·REGULARIZER·is·the·trades-off·appearance·for72 the·superpixels·and·REGULARIZER·is·the·trades-off·appearance·for
73 spatial·regularity·when·clustering·(a·larger·value·results·in·more73 spatial·regularity·when·clustering·(a·larger·value·results·in·more
74 spatial·regularization).·SEGMENTS·is·a·UINT32·array·containing·the74 spatial·regularization).·SEGMENTS·is·a·UINT32·array·containing·the
75 superpixel·identifier·for·each·image·pixel.75 superpixel·identifier·for·each·image·pixel.
76 </p><p>76 </p><p>
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2 ····*·_\x8I_\x8n_\x8d_\x8e_\x8x2 ····*·_\x8I_\x8n_\x8d_\x8e_\x8x
3 ····*·_\x8P_\x8r_\x8e_\x8v3 ····*·_\x8P_\x8r_\x8e_\x8v
4 ····*·_\x8N_\x8e_\x8x_\x8t 
5 SEGMENTS·=·_\x8V_\x8L_\x8__\x8S_\x8L_\x8I_\x8C(IM,·REGIONSIZE,·REGULARIZER)·extracts·the·SLIC·superpixes4 SEGMENTS·=·_\x8V_\x8L_\x8__\x8S_\x8L_\x8I_\x8C(IM,·REGIONSIZE,·REGULARIZER)·extracts·the·SLIC·superpixes
6 [1]·from·image·IM.·REGIONSIZE·is·the·starting·size·of·the·superpixels·and5 [1]·from·image·IM.·REGIONSIZE·is·the·starting·size·of·the·superpixels·and
7 REGULARIZER·is·the·trades-off·appearance·for·spatial·regularity·when·clustering6 REGULARIZER·is·the·trades-off·appearance·for·spatial·regularity·when·clustering
8 (a·larger·value·results·in·more·spatial·regularization).·SEGMENTS·is·a·UINT327 (a·larger·value·results·in·more·spatial·regularization).·SEGMENTS·is·a·UINT32
9 array·containing·the·superpixel·identifier·for·each·image·pixel.8 array·containing·the·superpixel·identifier·for·each·image·pixel.
10 The·image·IM·is·a·SINGLE·array·with·two·or·three·dimensions.·The·third9 The·image·IM·is·a·SINGLE·array·with·two·or·three·dimensions.·The·third
11 dimension·is·arbitrary,·but·it·is·usually·three·for·RGB·or·LAB·images.10 dimension·is·arbitrary,·but·it·is·usually·three·for·RGB·or·LAB·images.
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63 ····</div>63 ····</div>
64 ··</div>64 ··</div>
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66 ····<div·id="content-wrapper">66 ····<div·id="content-wrapper">
67 ······<div·id="content">67 ······<div·id="content">
68 ········<div·class="mdoc">68 ········<div·class="mdoc">
69 <ul·class="breadcrumb"><li><a·href="matlab.html">Index</a></li><li><a·href="vl_aibhist.html">Prev</a></li><li><a·href="vl_gmm.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_kmeans.html">Prev</a></li><li><a·href="vl_cf.html">Next</a></li></ul><div·class="documentation"><p>
70 ENC·=·<a·href="vl_vlad.html">VL_VLAD</a>(X,·MEANS,·ASSIGNMENTS)·computes·the·VLAD70 ENC·=·<a·href="vl_vlad.html">VL_VLAD</a>(X,·MEANS,·ASSIGNMENTS)·computes·the·VLAD
71 encoding·of·the·vectors·X·relative·to·cluster·centers·MEANS·and71 encoding·of·the·vectors·X·relative·to·cluster·centers·MEANS·and
72 vector-to-cluster·soft·assignments·ASSIGNMENTS.72 vector-to-cluster·soft·assignments·ASSIGNMENTS.
73 </p><p>73 </p><p>
74 X·has·one·column·per·data·vector·(e.g.·a·SIFT·descriptor),·and74 X·has·one·column·per·data·vector·(e.g.·a·SIFT·descriptor),·and
75 MEANS·has·one·column·per·component.·Usually·one·has·one·component75 MEANS·has·one·column·per·component.·Usually·one·has·one·component
76 per·KMeans·cluster·and·MEANS·are·the·KMeans·centers.·X·and·MEANS76 per·KMeans·cluster·and·MEANS·are·the·KMeans·centers.·X·and·MEANS
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63 ····</div>63 ····</div>
64 ··</div>64 ··</div>
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69 <ul·class="breadcrumb"><li><a·href="matlab.html">Index</a></li><li><a·href="vl_whistc.html">Prev</a></li><li><a·href="vl_fisher.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_whistc.html">Prev</a></li><li><a·href="vl_hikmeans.html">Next</a></li></ul><div·class="documentation"><p>
70 <a·href="vl_xmkdir.html">VL_XMKDIR</a>(PATH)·creates·all·directory·specified·by·PATH·if·they70 <a·href="vl_xmkdir.html">VL_XMKDIR</a>(PATH)·creates·all·directory·specified·by·PATH·if·they
71 do·not·exist·(existing·directories·are·skipped).71 do·not·exist·(existing·directories·are·skipped).
72 </p><p>72 </p><p>
73 The·function·is·meant·as·a·silent·replacement·of·MATLAB's·builtin73 The·function·is·meant·as·a·silent·replacement·of·MATLAB's·builtin
74 MKDIR()·function.·It·can·also·be·used·to·show·more·clearly·what74 MKDIR()·function.·It·can·also·be·used·to·show·more·clearly·what
75 directories·are·or·would·be·created·by·the·command.75 directories·are·or·would·be·created·by·the·command.
76 </p><p>76 </p><p>
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63 ····</div>63 ····</div>
64 ··</div>64 ··</div>
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70 J·=·<a·href="vl_xyz2rgb.html">VL_XYZ2RGB</a>(I)·the·XYZ·image·I·in·RGB·format.70 J·=·<a·href="vl_xyz2rgb.html">VL_XYZ2RGB</a>(I)·the·XYZ·image·I·in·RGB·format.
71 </p><p>71 </p><p>
72 <a·href="vl_xyz2rgb.html">VL_XYZ2RGB</a>(I,WS)·uses·the·RGB·workspace·WS.·WS·is·a·string·in72 <a·href="vl_xyz2rgb.html">VL_XYZ2RGB</a>(I,WS)·uses·the·RGB·workspace·WS.·WS·is·a·string·in
73 </p><ul><li><p>73 </p><ul><li><p>
74 CIE:····E·illuminant·and·2.2·gamma74 CIE:····E·illuminant·and·2.2·gamma
75 </p></li><li><p>75 </p></li><li><p>
76 Adobe:··D65·illuminant·and·2.2·gamma76 Adobe:··D65·illuminant·and·2.2·gamma