Update to 2.0.0 tree from current Fremantle build
[opencv] / src / cvaux / cvhog.cpp
diff --git a/src/cvaux/cvhog.cpp b/src/cvaux/cvhog.cpp
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+/*M///////////////////////////////////////////////////////////////////////////////////////
+//
+//  IMPORTANT: READ BEFORE DOWNLOADING, COPYING, INSTALLING OR USING.
+//
+//  By downloading, copying, installing or using the software you agree to this license.
+//  If you do not agree to this license, do not download, install,
+//  copy or use the software.
+//
+//
+//                           License Agreement
+//                For Open Source Computer Vision Library
+//
+// Copyright (C) 2000-2008, Intel Corporation, all rights reserved.
+// Copyright (C) 2009, Willow Garage Inc., all rights reserved.
+// Third party copyrights are property of their respective owners.
+//
+// Redistribution and use in source and binary forms, with or without modification,
+// are permitted provided that the following conditions are met:
+//
+//   * Redistribution's of source code must retain the above copyright notice,
+//     this list of conditions and the following disclaimer.
+//
+//   * Redistribution's in binary form must reproduce the above copyright notice,
+//     this list of conditions and the following disclaimer in the documentation
+//     and/or other materials provided with the distribution.
+//
+//   * The name of the copyright holders may not be used to endorse or promote products
+//     derived from this software without specific prior written permission.
+//
+// This software is provided by the copyright holders and contributors "as is" and
+// any express or implied warranties, including, but not limited to, the implied
+// warranties of merchantability and fitness for a particular purpose are disclaimed.
+// In no event shall the Intel Corporation or contributors be liable for any direct,
+// indirect, incidental, special, exemplary, or consequential damages
+// (including, but not limited to, procurement of substitute goods or services;
+// loss of use, data, or profits; or business interruption) however caused
+// and on any theory of liability, whether in contract, strict liability,
+// or tort (including negligence or otherwise) arising in any way out of
+// the use of this software, even if advised of the possibility of such damage.
+//
+//M*/
+
+#include "_cvaux.h"
+
+/****************************************************************************************\
+      The code below is implementation of HOG (Histogram-of-Oriented Gradients)
+      descriptor and object detection, introduced by Navneet Dalal and Bill Triggs.
+
+      The computed feature vectors are compatible with the
+      INRIA Object Detection and Localization Toolkit
+      (http://pascal.inrialpes.fr/soft/olt/)
+\****************************************************************************************/
+
+namespace cv
+{
+
+size_t HOGDescriptor::getDescriptorSize() const
+{
+    CV_Assert(blockSize.width % cellSize.width == 0 &&
+        blockSize.height % cellSize.height == 0);
+    CV_Assert((winSize.width - blockSize.width) % blockStride.width == 0 &&
+        (winSize.height - blockSize.height) % blockStride.height == 0 );
+    return (size_t)nbins*
+        (blockSize.width/cellSize.width)*
+        (blockSize.height/cellSize.height)*
+        ((winSize.width - blockSize.width)/blockStride.width + 1)*
+        ((winSize.height - blockSize.height)/blockStride.height + 1);
+}
+
+double HOGDescriptor::getWinSigma() const
+{
+    return winSigma >= 0 ? winSigma : (blockSize.width + blockSize.height)/8.;
+}
+
+bool HOGDescriptor::checkDetectorSize() const
+{
+    size_t detectorSize = svmDetector.size(), descriptorSize = getDescriptorSize();
+    return detectorSize == 0 ||
+        detectorSize == descriptorSize ||
+        detectorSize == descriptorSize + 1;
+}
+
+void HOGDescriptor::setSVMDetector(const vector<float>& _svmDetector)
+{
+    svmDetector = _svmDetector;
+    CV_Assert( checkDetectorSize() );
+}
+
+bool HOGDescriptor::load(const String& filename, const String& objname)
+{
+    FileStorage fs(filename, FileStorage::READ);
+    FileNode obj = !objname.empty() ? fs[objname] : fs.getFirstTopLevelNode();
+    if( !obj.isMap() )
+        return false;
+    FileNodeIterator it = obj["winSize"].begin();
+    it >> winSize.width >> winSize.height;
+    it = obj["blockSize"].begin();
+    it >> blockSize.width >> blockSize.height;
+    it = obj["blockStride"].begin();
+    it >> blockStride.width >> blockStride.height;
+    it = obj["cellSize"].begin();
+    it >> cellSize.width >> cellSize.height;
+    obj["nbins"] >> nbins;
+    obj["derivAperture"] >> derivAperture;
+    obj["winSigma"] >> winSigma;
+    obj["histogramNormType"] >> histogramNormType;
+    obj["L2HysThreshold"] >> L2HysThreshold;
+    obj["gammaCorrection"] >> gammaCorrection;
+
+    FileNode vecNode = obj["SVMDetector"];
+    if( vecNode.isSeq() )
+    {
+        vecNode >> svmDetector;
+        CV_Assert(checkDetectorSize());
+    }
+    return true;
+}
+
+void HOGDescriptor::save(const String& filename, const String& objName) const
+{
+    FileStorage fs(filename, FileStorage::WRITE);
+    fs << (!objName.empty() ? objName : FileStorage::getDefaultObjectName(filename)) << "{";
+
+    fs  << "winSize" << winSize
+        << "blockSize" << blockSize
+        << "blockStride" << blockStride
+        << "cellSize" << cellSize
+        << "nbins" << nbins
+        << "derivAperture" << derivAperture
+        << "winSigma" << getWinSigma()
+        << "histogramNormType" << histogramNormType
+        << "L2HysThreshold" << L2HysThreshold
+        << "gammaCorrection" << gammaCorrection;
+    if( !svmDetector.empty() )
+        fs << "SVMDetector" << "[:" << svmDetector << "]";
+    fs << "}";
+}
+
+void HOGDescriptor::computeGradient(const Mat& img, Mat& grad, Mat& qangle,
+                                    Size paddingTL, Size paddingBR) const
+{
+    CV_Assert( img.type() == CV_8U || img.type() == CV_8UC3 );
+    
+    Size gradsize(img.cols + paddingTL.width + paddingBR.width,
+                  img.rows + paddingTL.height + paddingBR.height);
+    grad.create(gradsize, CV_32FC2);  // <magnitude*(1-alpha), magnitude*alpha>
+    qangle.create(gradsize, CV_8UC2); // [0..nbins-1] - quantized gradient orientation
+    Size wholeSize;
+    Point roiofs;
+    img.locateROI(wholeSize, roiofs);
+
+    int i, x, y;
+    int cn = img.channels();
+
+    Mat_<float> _lut(1, 256);
+    const float* lut = &_lut(0,0);
+
+    if( gammaCorrection )
+        for( i = 0; i < 256; i++ )
+            _lut(0,i) = std::sqrt((float)i);
+    else
+        for( i = 0; i < 256; i++ )
+            _lut(0,i) = (float)i;
+
+    AutoBuffer<int> mapbuf(gradsize.width + gradsize.height + 4);
+    int* xmap = (int*)mapbuf + 1;
+    int* ymap = xmap + gradsize.width + 2;
+
+    const int borderType = (int)BORDER_REFLECT_101;
+
+    for( x = -1; x < gradsize.width + 1; x++ )
+        xmap[x] = borderInterpolate(x - paddingTL.width + roiofs.x,
+                        wholeSize.width, borderType);
+    for( y = -1; y < gradsize.height + 1; y++ )
+        ymap[y] = borderInterpolate(y - paddingTL.height + roiofs.y,
+                        wholeSize.height, borderType);
+
+    // x- & y- derivatives for the whole row
+    int width = gradsize.width;
+    AutoBuffer<float> _dbuf(width*4);
+    float* dbuf = _dbuf;
+    Mat Dx(1, width, CV_32F, dbuf);
+    Mat Dy(1, width, CV_32F, dbuf + width);
+    Mat Mag(1, width, CV_32F, dbuf + width*2);
+    Mat Angle(1, width, CV_32F, dbuf + width*3);
+
+    int _nbins = nbins;
+    float angleScale = (float)(_nbins/CV_PI);
+
+    for( y = 0; y < gradsize.height; y++ )
+    {
+        const uchar* imgPtr = img.data + img.step*ymap[y];
+        const uchar* prevPtr = img.data + img.step*ymap[y-1];
+        const uchar* nextPtr = img.data + img.step*ymap[y+1];
+        float* gradPtr = (float*)grad.ptr(y);
+        uchar* qanglePtr = (uchar*)qangle.ptr(y);
+        
+        if( cn == 1 )
+        {
+            for( x = 0; x < width; x++ )
+            {
+                int x1 = xmap[x];
+                dbuf[x] = (float)(lut[imgPtr[xmap[x+1]]] - lut[imgPtr[xmap[x-1]]]);
+                dbuf[width + x] = (float)(lut[nextPtr[x1]] - lut[prevPtr[x1]]);
+            }
+        }
+        else
+        {
+            for( x = 0; x < width; x++ )
+            {
+                int x1 = xmap[x]*3;
+                const uchar* p2 = imgPtr + xmap[x+1]*3;
+                const uchar* p0 = imgPtr + xmap[x-1]*3;
+                float dx0, dy0, dx, dy, mag0, mag;
+
+                dx0 = lut[p2[2]] - lut[p0[2]];
+                dy0 = lut[nextPtr[x1+2]] - lut[prevPtr[x1+2]];
+                mag0 = dx0*dx0 + dy0*dy0;
+                
+                dx = lut[p2[1]] - lut[p0[1]];
+                dy = lut[nextPtr[x1+1]] - lut[prevPtr[x1+1]];
+                mag = dx*dx + dy*dy;
+                
+                if( mag0 < mag )
+                {
+                    dx0 = dx;
+                    dy0 = dy;
+                    mag0 = mag;
+                }
+                
+                dx = lut[p2[0]] - lut[p0[0]];
+                dy = lut[nextPtr[x1]] - lut[prevPtr[x1]];
+                mag = dx*dx + dy*dy;
+                
+                if( mag0 < mag )
+                {
+                    dx0 = dx;
+                    dy0 = dy;
+                    mag0 = mag;
+                }
+
+                dbuf[x] = dx0;
+                dbuf[x+width] = dy0;
+            }
+        }
+        
+        cartToPolar( Dx, Dy, Mag, Angle, false );
+
+        for( x = 0; x < width; x++ )
+        {
+            float mag = dbuf[x+width*2], angle = dbuf[x+width*3]*angleScale - 0.5f;
+            int hidx = cvFloor(angle);
+            angle -= hidx;
+            if( hidx < 0 )
+                hidx += _nbins;
+            else if( hidx >= _nbins )
+                hidx -= _nbins;
+            assert( (unsigned)hidx < (unsigned)_nbins );
+
+            qanglePtr[x*2] = (uchar)hidx;
+            hidx++;
+            hidx &= hidx < _nbins ? -1 : 0;
+            qanglePtr[x*2+1] = (uchar)hidx;
+            gradPtr[x*2] = mag*(1.f - angle);
+            gradPtr[x*2+1] = mag*angle;
+        }
+    }
+}
+
+
+struct HOGCache
+{
+    struct BlockData
+    {
+        BlockData() : histOfs(0), imgOffset() {}
+        int histOfs;
+        Point imgOffset;
+    };
+
+    struct PixData
+    {
+        size_t gradOfs, qangleOfs;
+        int histOfs[4];
+        float histWeights[4];
+        float gradWeight;
+    };
+
+    HOGCache();
+    HOGCache(const HOGDescriptor* descriptor,
+        const Mat& img, Size paddingTL, Size paddingBR,
+        bool useCache, Size cacheStride);
+    virtual ~HOGCache() {};
+    virtual void init(const HOGDescriptor* descriptor,
+        const Mat& img, Size paddingTL, Size paddingBR,
+        bool useCache, Size cacheStride);
+
+    Size windowsInImage(Size imageSize, Size winStride) const;
+    Rect getWindow(Size imageSize, Size winStride, int idx) const;
+
+    const float* getBlock(Point pt, float* buf);
+    virtual void normalizeBlockHistogram(float* histogram) const;
+    
+    vector<PixData> pixData;
+    vector<BlockData> blockData;
+
+    bool useCache;
+    vector<int> ymaxCached;
+    Size winSize, cacheStride;
+    Size nblocks, ncells;
+    int blockHistogramSize;
+    int count1, count2, count4;
+    Point imgoffset;
+    Mat_<float> blockCache;
+    Mat_<uchar> blockCacheFlags;
+
+    Mat grad, qangle;
+    const HOGDescriptor* descriptor;
+};
+
+
+HOGCache::HOGCache()
+{
+    useCache = false;
+    blockHistogramSize = count1 = count2 = count4 = 0;
+    descriptor = 0;
+}
+
+HOGCache::HOGCache(const HOGDescriptor* _descriptor,
+        const Mat& _img, Size _paddingTL, Size _paddingBR,
+        bool _useCache, Size _cacheStride)
+{
+    init(_descriptor, _img, _paddingTL, _paddingBR, _useCache, _cacheStride);
+}
+
+void HOGCache::init(const HOGDescriptor* _descriptor,
+        const Mat& _img, Size _paddingTL, Size _paddingBR,
+        bool _useCache, Size _cacheStride)
+{
+    descriptor = _descriptor;
+    cacheStride = _cacheStride;
+    useCache = _useCache;
+
+    descriptor->computeGradient(_img, grad, qangle, _paddingTL, _paddingBR);
+    imgoffset = _paddingTL;
+
+    winSize = descriptor->winSize;
+    Size blockSize = descriptor->blockSize;
+    Size blockStride = descriptor->blockStride;
+    Size cellSize = descriptor->cellSize;
+    Size winSize = descriptor->winSize;
+    int i, j, nbins = descriptor->nbins;
+    int rawBlockSize = blockSize.width*blockSize.height;
+
+    nblocks = Size((winSize.width - blockSize.width)/blockStride.width + 1,
+                   (winSize.height - blockSize.height)/blockStride.height + 1);
+    ncells = Size(blockSize.width/cellSize.width, blockSize.height/cellSize.height);
+    blockHistogramSize = ncells.width*ncells.height*nbins;
+
+    if( useCache )
+    {
+        Size cacheSize((grad.cols - blockSize.width)/cacheStride.width+1,
+                       (winSize.height/cacheStride.height)+1);
+        blockCache.create(cacheSize.height, cacheSize.width*blockHistogramSize);
+        blockCacheFlags.create(cacheSize);
+        size_t i, cacheRows = blockCache.rows;
+        ymaxCached.resize(cacheRows);
+        for( i = 0; i < cacheRows; i++ )
+            ymaxCached[i] = -1;
+    }
+
+    Mat_<float> weights(blockSize);
+    float sigma = (float)descriptor->getWinSigma();
+    float scale = 1.f/(sigma*sigma*2);
+
+    for(i = 0; i < blockSize.height; i++)
+        for(j = 0; j < blockSize.width; j++)
+        {
+            float di = i - blockSize.height*0.5f;
+            float dj = j - blockSize.width*0.5f;
+            weights(i,j) = std::exp(-(di*di + dj*dj)*scale);
+        }
+
+    blockData.resize(nblocks.width*nblocks.height);
+    pixData.resize(rawBlockSize*3);
+
+    // Initialize 2 lookup tables, pixData & blockData.
+    // Here is why:
+    //
+    // The detection algorithm runs in 4 nested loops (at each pyramid layer):
+    //  loop over the windows within the input image
+    //    loop over the blocks within each window
+    //      loop over the cells within each block
+    //        loop over the pixels in each cell
+    //
+    // As each of the loops runs over a 2-dimensional array,
+    // we could get 8(!) nested loops in total, which is very-very slow.
+    //
+    // To speed the things up, we do the following:
+    //   1. loop over windows is unrolled in the HOGDescriptor::{compute|detect} methods;
+    //         inside we compute the current search window using getWindow() method.
+    //         Yes, it involves some overhead (function call + couple of divisions),
+    //         but it's tiny in fact.
+    //   2. loop over the blocks is also unrolled. Inside we use pre-computed blockData[j]
+    //         to set up gradient and histogram pointers.
+    //   3. loops over cells and pixels in each cell are merged
+    //       (since there is no overlap between cells, each pixel in the block is processed once)
+    //      and also unrolled. Inside we use PixData[k] to access the gradient values and
+    //      update the histogram
+    //
+    count1 = count2 = count4 = 0;
+    for( j = 0; j < blockSize.width; j++ )
+        for( i = 0; i < blockSize.height; i++ )
+        {
+            PixData* data = 0;
+            float cellX = (j+0.5f)/cellSize.width - 0.5f;
+            float cellY = (i+0.5f)/cellSize.height - 0.5f;
+            int icellX0 = cvFloor(cellX);
+            int icellY0 = cvFloor(cellY);
+            int icellX1 = icellX0 + 1, icellY1 = icellY0 + 1;
+            cellX -= icellX0;
+            cellY -= icellY0;
+            
+            if( (unsigned)icellX0 < (unsigned)ncells.width &&
+                (unsigned)icellX1 < (unsigned)ncells.width )
+            {
+                if( (unsigned)icellY0 < (unsigned)ncells.height &&
+                    (unsigned)icellY1 < (unsigned)ncells.height )
+                {
+                    data = &pixData[rawBlockSize*2 + (count4++)];
+                    data->histOfs[0] = (icellX0*ncells.height + icellY0)*nbins;
+                    data->histWeights[0] = (1.f - cellX)*(1.f - cellY);
+                    data->histOfs[1] = (icellX1*ncells.height + icellY0)*nbins;
+                    data->histWeights[1] = cellX*(1.f - cellY);
+                    data->histOfs[2] = (icellX0*ncells.height + icellY1)*nbins;
+                    data->histWeights[2] = (1.f - cellX)*cellY;
+                    data->histOfs[3] = (icellX1*ncells.height + icellY1)*nbins;
+                    data->histWeights[3] = cellX*cellY;
+                }
+                else
+                {
+                    data = &pixData[rawBlockSize + (count2++)];
+                    if( (unsigned)icellY0 < (unsigned)ncells.height )
+                    {
+                        icellY1 = icellY0;
+                        cellY = 1.f - cellY;
+                    }
+                    data->histOfs[0] = (icellX0*ncells.height + icellY1)*nbins;
+                    data->histWeights[0] = (1.f - cellX)*cellY;
+                    data->histOfs[1] = (icellX1*ncells.height + icellY1)*nbins;
+                    data->histWeights[1] = cellX*cellY;
+                    data->histOfs[2] = data->histOfs[3] = 0;
+                    data->histWeights[2] = data->histWeights[3] = 0;
+                }
+            }
+            else
+            {
+                if( (unsigned)icellX0 < (unsigned)ncells.width )
+                {
+                    icellX1 = icellX0;
+                    cellX = 1.f - cellX;
+                }
+
+                if( (unsigned)icellY0 < (unsigned)ncells.height &&
+                    (unsigned)icellY1 < (unsigned)ncells.height )
+                {
+                    data = &pixData[rawBlockSize + (count2++)];
+                    data->histOfs[0] = (icellX1*ncells.height + icellY0)*nbins;
+                    data->histWeights[0] = cellX*(1.f - cellY);
+                    data->histOfs[1] = (icellX1*ncells.height + icellY1)*nbins;
+                    data->histWeights[1] = cellX*cellY;
+                    data->histOfs[2] = data->histOfs[3] = 0;
+                    data->histWeights[2] = data->histWeights[3] = 0;
+                }
+                else
+                {
+                    data = &pixData[count1++];
+                    if( (unsigned)icellY0 < (unsigned)ncells.height )
+                    {
+                        icellY1 = icellY0;
+                        cellY = 1.f - cellY;
+                    }
+                    data->histOfs[0] = (icellX1*ncells.height + icellY1)*nbins;
+                    data->histWeights[0] = cellX*cellY;
+                    data->histOfs[1] = data->histOfs[2] = data->histOfs[3] = 0;
+                    data->histWeights[1] = data->histWeights[2] = data->histWeights[3] = 0;
+                }
+            }
+            data->gradOfs = (grad.cols*i + j)*2;
+            data->qangleOfs = (qangle.cols*i + j)*2;
+            data->gradWeight = weights(i,j);
+        }
+
+    assert( count1 + count2 + count4 == rawBlockSize );
+    // defragment pixData
+    for( j = 0; j < count2; j++ )
+        pixData[j + count1] = pixData[j + rawBlockSize];
+    for( j = 0; j < count4; j++ )
+        pixData[j + count1 + count2] = pixData[j + rawBlockSize*2];
+    count2 += count1;
+    count4 += count2;
+
+    // initialize blockData
+    for( j = 0; j < nblocks.width; j++ )
+        for( i = 0; i < nblocks.height; i++ )
+        {
+            BlockData& data = blockData[j*nblocks.height + i];
+            data.histOfs = (j*nblocks.height + i)*blockHistogramSize;
+            data.imgOffset = Point(j*blockStride.width,i*blockStride.height);
+        }
+}
+
+
+const float* HOGCache::getBlock(Point pt, float* buf)
+{
+    float* blockHist = buf;
+    assert(descriptor != 0);
+
+    Size blockSize = descriptor->blockSize;
+    pt += imgoffset;
+
+    CV_Assert( (unsigned)pt.x <= (unsigned)(grad.cols - blockSize.width) &&
+               (unsigned)pt.y <= (unsigned)(grad.rows - blockSize.height) );
+    
+    if( useCache )
+    {
+        CV_Assert( pt.x % cacheStride.width == 0 &&
+                   pt.y % cacheStride.height == 0 );
+        Point cacheIdx(pt.x/cacheStride.width,
+                      (pt.y/cacheStride.height) % blockCache.rows);
+        if( pt.y != ymaxCached[cacheIdx.y] )
+        {
+            Mat_<uchar> cacheRow = blockCacheFlags.row(cacheIdx.y);
+            cacheRow = (uchar)0;
+            ymaxCached[cacheIdx.y] = pt.y;
+        }
+
+        blockHist = &blockCache[cacheIdx.y][cacheIdx.x*blockHistogramSize];
+        uchar& computedFlag = blockCacheFlags(cacheIdx.y, cacheIdx.x);
+        if( computedFlag != 0 )
+            return blockHist;
+        computedFlag = (uchar)1; // set it at once, before actual computing
+    }
+
+    int k, C1 = count1, C2 = count2, C4 = count4;
+    const float* gradPtr = (const float*)(grad.data + grad.step*pt.y) + pt.x*2;
+    const uchar* qanglePtr = qangle.data + qangle.step*pt.y + pt.x*2;
+
+    CV_Assert( blockHist != 0 );
+
+    for( k = 0; k < blockHistogramSize; k++ )
+        blockHist[k] = 0.f;
+    
+    const PixData* _pixData = &pixData[0];
+
+    for( k = 0; k < C1; k++ )
+    {
+        const PixData& pk = _pixData[k];
+        const float* a = gradPtr + pk.gradOfs;
+        float w = pk.gradWeight*pk.histWeights[0];
+        const uchar* h = qanglePtr + pk.qangleOfs;
+        int h0 = h[0], h1 = h[1];
+        float* hist = blockHist + pk.histOfs[0];
+        float t0 = hist[h0] + a[0]*w;
+        float t1 = hist[h1] + a[1]*w;
+        hist[h0] = t0; hist[h1] = t1;
+    }
+
+    for( ; k < C2; k++ )
+    {
+        const PixData& pk = _pixData[k];
+        const float* a = gradPtr + pk.gradOfs;
+        float w, t0, t1, a0 = a[0], a1 = a[1];
+        const uchar* h = qanglePtr + pk.qangleOfs;
+        int h0 = h[0], h1 = h[1];
+        
+        float* hist = blockHist + pk.histOfs[0];
+        w = pk.gradWeight*pk.histWeights[0];
+        t0 = hist[h0] + a0*w;
+        t1 = hist[h1] + a1*w;
+        hist[h0] = t0; hist[h1] = t1;
+        
+        hist = blockHist + pk.histOfs[1];
+        w = pk.gradWeight*pk.histWeights[1];
+        t0 = hist[h0] + a0*w;
+        t1 = hist[h1] + a1*w;
+        hist[h0] = t0; hist[h1] = t1;
+    }
+
+    for( ; k < C4; k++ )
+    {
+        const PixData& pk = _pixData[k];
+        const float* a = gradPtr + pk.gradOfs;
+        float w, t0, t1, a0 = a[0], a1 = a[1];
+        const uchar* h = qanglePtr + pk.qangleOfs;
+        int h0 = h[0], h1 = h[1];
+        
+        float* hist = blockHist + pk.histOfs[0];
+        w = pk.gradWeight*pk.histWeights[0];
+        t0 = hist[h0] + a0*w;
+        t1 = hist[h1] + a1*w;
+        hist[h0] = t0; hist[h1] = t1;
+        
+        hist = blockHist + pk.histOfs[1];
+        w = pk.gradWeight*pk.histWeights[1];
+        t0 = hist[h0] + a0*w;
+        t1 = hist[h1] + a1*w;
+        hist[h0] = t0; hist[h1] = t1;
+
+        hist = blockHist + pk.histOfs[2];
+        w = pk.gradWeight*pk.histWeights[2];
+        t0 = hist[h0] + a0*w;
+        t1 = hist[h1] + a1*w;
+        hist[h0] = t0; hist[h1] = t1;
+
+        hist = blockHist + pk.histOfs[3];
+        w = pk.gradWeight*pk.histWeights[3];
+        t0 = hist[h0] + a0*w;
+        t1 = hist[h1] + a1*w;
+        hist[h0] = t0; hist[h1] = t1;
+    }
+
+    normalizeBlockHistogram(blockHist);
+
+    return blockHist;
+}
+
+
+void HOGCache::normalizeBlockHistogram(float* _hist) const
+{
+    float* hist = &_hist[0];
+    size_t i, sz = blockHistogramSize;
+    
+    float sum = 0;
+    for( i = 0; i < sz; i++ )
+        sum += hist[i]*hist[i];
+    float scale = 1.f/(std::sqrt(sum)+sz*0.1f), thresh = (float)descriptor->L2HysThreshold;
+    for( i = 0, sum = 0; i < sz; i++ )
+    {
+        hist[i] = std::min(hist[i]*scale, thresh);
+        sum += hist[i]*hist[i];
+    }
+    scale = 1.f/(std::sqrt(sum)+1e-3f);
+    for( i = 0; i < sz; i++ )
+        hist[i] *= scale;
+}
+    
+    
+Size HOGCache::windowsInImage(Size imageSize, Size winStride) const
+{
+    return Size((imageSize.width - winSize.width)/winStride.width + 1,
+                (imageSize.height - winSize.height)/winStride.height + 1);
+}
+
+Rect HOGCache::getWindow(Size imageSize, Size winStride, int idx) const
+{
+    int nwindowsX = (imageSize.width - winSize.width)/winStride.width + 1;
+    int y = idx / nwindowsX;
+    int x = idx - nwindowsX*y;
+    return Rect( x*winStride.width, y*winStride.height, winSize.width, winSize.height );
+}
+
+
+void HOGDescriptor::compute(const Mat& img, vector<float>& descriptors,
+                            Size winStride, Size padding,
+                            const vector<Point>& locations) const
+{
+    if( winStride == Size() )
+        winStride = cellSize;
+    Size cacheStride(gcd(winStride.width, blockStride.width),
+                     gcd(winStride.height, blockStride.height));
+    size_t nwindows = locations.size();
+    padding.width = (int)alignSize(std::max(padding.width, 0), cacheStride.width);
+    padding.height = (int)alignSize(std::max(padding.height, 0), cacheStride.height);
+    Size paddedImgSize(img.cols + padding.width*2, img.rows + padding.height*2);
+    
+    HOGCache cache(this, img, padding, padding, nwindows == 0, cacheStride);
+
+    if( !nwindows )
+        nwindows = cache.windowsInImage(paddedImgSize, winStride).area();
+
+    const HOGCache::BlockData* blockData = &cache.blockData[0];
+
+    int nblocks = cache.nblocks.area();
+    int blockHistogramSize = cache.blockHistogramSize;
+    size_t dsize = getDescriptorSize();
+    descriptors.resize(dsize*nwindows);
+
+    for( size_t i = 0; i < nwindows; i++ )
+    {
+        float* descriptor = &descriptors[i*dsize];
+       
+        Point pt0;
+        if( !locations.empty() )
+        {
+            pt0 = locations[i];
+            if( pt0.x < -padding.width || pt0.x > img.cols + padding.width - winSize.width ||
+                pt0.y < -padding.height || pt0.y > img.rows + padding.height - winSize.height )
+                continue;
+        }
+        else
+        {
+            pt0 = cache.getWindow(paddedImgSize, winStride, (int)i).tl() - Point(padding);
+            CV_Assert(pt0.x % cacheStride.width == 0 && pt0.y % cacheStride.height == 0);
+        }
+
+        for( int j = 0; j < nblocks; j++ )
+        {
+            const HOGCache::BlockData& bj = blockData[j];
+            Point pt = pt0 + bj.imgOffset;
+
+            float* dst = descriptor + bj.histOfs;
+            const float* src = cache.getBlock(pt, dst);
+            if( src != dst )
+                for( int k = 0; k < blockHistogramSize; k++ )
+                    dst[k] = src[k];
+        }
+    }
+}
+
+
+void HOGDescriptor::detect(const Mat& img,
+    vector<Point>& hits, double hitThreshold,
+    Size winStride, Size padding, const vector<Point>& locations) const
+{
+    hits.clear();
+    if( svmDetector.empty() )
+        return;
+    
+    if( winStride == Size() )
+        winStride = cellSize;
+    Size cacheStride(gcd(winStride.width, blockStride.width),
+                     gcd(winStride.height, blockStride.height));
+    size_t nwindows = locations.size();
+    padding.width = (int)alignSize(std::max(padding.width, 0), cacheStride.width);
+    padding.height = (int)alignSize(std::max(padding.height, 0), cacheStride.height);
+    Size paddedImgSize(img.cols + padding.width*2, img.rows + padding.height*2);
+    
+    HOGCache cache(this, img, padding, padding, nwindows == 0, cacheStride);
+
+    if( !nwindows )
+        nwindows = cache.windowsInImage(paddedImgSize, winStride).area();
+
+    const HOGCache::BlockData* blockData = &cache.blockData[0];
+
+    int nblocks = cache.nblocks.area();
+    int blockHistogramSize = cache.blockHistogramSize;
+    size_t dsize = getDescriptorSize();
+
+    double rho = svmDetector.size() > dsize ? svmDetector[dsize] : 0;
+    vector<float> blockHist(blockHistogramSize);
+
+    for( size_t i = 0; i < nwindows; i++ )
+    {
+        Point pt0;
+        if( !locations.empty() )
+        {
+            pt0 = locations[i];
+            if( pt0.x < -padding.width || pt0.x > img.cols + padding.width - winSize.width ||
+                pt0.y < -padding.height || pt0.y > img.rows + padding.height - winSize.height )
+                continue;
+        }
+        else
+        {
+            pt0 = cache.getWindow(paddedImgSize, winStride, (int)i).tl() - Point(padding);
+            CV_Assert(pt0.x % cacheStride.width == 0 && pt0.y % cacheStride.height == 0);
+        }
+        double s = rho;
+        const float* svmVec = &svmDetector[0];
+        int j, k;
+        for( j = 0; j < nblocks; j++, svmVec += blockHistogramSize )
+        {
+            const HOGCache::BlockData& bj = blockData[j];
+            Point pt = pt0 + bj.imgOffset;
+
+            const float* vec = cache.getBlock(pt, &blockHist[0]);
+            for( k = 0; k <= blockHistogramSize - 4; k += 4 )
+                s += vec[k]*svmVec[k] + vec[k+1]*svmVec[k+1] +
+                    vec[k+2]*svmVec[k+2] + vec[k+3]*svmVec[k+3];
+            for( ; k < blockHistogramSize; k++ )
+                s += vec[k]*svmVec[k];
+        }
+        if( s >= hitThreshold )
+            hits.push_back(pt0);
+    }
+}
+
+
+struct HOGThreadData
+{
+    vector<Rect> rectangles;
+    vector<Point> locations;
+    Mat smallerImgBuf;
+};
+
+void HOGDescriptor::detectMultiScale(
+    const Mat& img, vector<Rect>& foundLocations,
+    double hitThreshold, Size winStride, Size padding,
+    double scale0, int groupThreshold) const
+{
+    double scale = 1.;
+    foundLocations.clear();
+    int i, levels = 0;
+    const int maxLevels = 64;
+
+    int t, nthreads = getNumThreads();
+    vector<HOGThreadData> threadData(nthreads);
+
+    for( t = 0; t < nthreads; t++ )
+        threadData[t].smallerImgBuf.create(img.size(), img.type());
+
+    vector<double> levelScale(maxLevels);
+    for( levels = 0; levels < maxLevels; levels++ )
+    {
+        levelScale[levels] = scale;
+        if( cvRound(img.cols/scale) < winSize.width ||
+            cvRound(img.rows/scale) < winSize.height ||
+            scale0 <= 1 )
+            break;
+        scale *= scale0;
+    }
+    levels = std::max(levels, 1);
+    levelScale.resize(levels);
+
+    {
+#ifdef _OPENMP
+    #pragma omp parallel for num_threads(nthreads) schedule(dynamic)
+#endif // _OPENMP
+    for( i = 0; i < levels; i++ )
+    {
+        HOGThreadData& tdata = threadData[getThreadNum()];
+        double scale = levelScale[i];
+        Size sz(cvRound(img.cols/scale), cvRound(img.rows/scale));
+        Mat smallerImg(sz, img.type(), tdata.smallerImgBuf.data);
+        if( sz == img.size() )
+            smallerImg = Mat(sz, img.type(), img.data, img.step);
+        else
+            resize(img, smallerImg, sz);
+        detect(smallerImg, tdata.locations, hitThreshold, winStride, padding);
+        Size scaledWinSize = Size(cvRound(winSize.width*scale), cvRound(winSize.height*scale));
+        for( size_t j = 0; j < tdata.locations.size(); j++ )
+            tdata.rectangles.push_back(Rect(
+                cvRound(tdata.locations[j].x*scale),
+                cvRound(tdata.locations[j].y*scale),
+                scaledWinSize.width, scaledWinSize.height));
+    }
+    }
+
+    for( t = 0; t < nthreads; t++ )
+    {
+        HOGThreadData& tdata = threadData[t];
+        std::copy(tdata.rectangles.begin(), tdata.rectangles.end(),
+            std::back_inserter(foundLocations));
+    }
+
+    groupRectangles(foundLocations, groupThreshold, 0.2);
+}
+
+vector<float> HOGDescriptor::getDefaultPeopleDetector()
+{
+    static const float detector[] = {
+       0.05359386f, -0.14721455f, -0.05532170f, 0.05077307f,
+       0.11547081f, -0.04268804f, 0.04635834f, -0.05468199f, 0.08232084f,
+       0.10424068f, -0.02294518f, 0.01108519f, 0.01378693f, 0.11193510f,
+       0.01268418f, 0.08528346f, -0.06309239f, 0.13054633f, 0.08100729f,
+       -0.05209739f, -0.04315529f, 0.09341384f, 0.11035026f, -0.07596218f,
+       -0.05517511f, -0.04465296f, 0.02947334f, 0.04555536f,
+       -3.55954492e-003f, 0.07818956f, 0.07730991f, 0.07890715f, 0.06222893f,
+       0.09001380f, -0.03574381f, 0.03414327f, 0.05677258f, -0.04773581f,
+       0.03746637f, -0.03521175f, 0.06955440f, -0.03849038f, 0.01052293f,
+       0.01736112f, 0.10867710f, 0.08748853f, 3.29739624e-003f, 0.10907028f,
+       0.07913758f, 0.10393070f, 0.02091867f, 0.11594022f, 0.13182420f,
+       0.09879354f, 0.05362710f, -0.06745391f, -7.01260753e-003f,
+       5.24702156e-003f, 0.03236255f, 0.01407916f, 0.02207983f, 0.02537322f,
+       0.04547948f, 0.07200756f, 0.03129894f, -0.06274468f, 0.02107014f,
+       0.06035208f, 0.08636236f, 4.53164103e-003f, 0.02193363f, 0.02309801f,
+       0.05568166f, -0.02645093f, 0.04448695f, 0.02837519f, 0.08975694f,
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+       -0.04468752f, -0.01490402f, 0.07400476f, -0.11650901f, 0.05102430f,
+       0.04559118f, -0.05916039f, 0.08840760f, -0.01587902f, -0.14890194f,
+       0.07857784f, 0.04710254f, -0.05381983f, -0.07331945f, -0.03604643f,
+       0.15611970f, 0.07649943f, -0.05959348f, -0.02776607f, 0.11098688f,
+       0.03758875f, -0.04446875f, 0.04933187f, 0.01345535f, 0.06921103f,
+       0.07364785f, 0.05518956f, 0.02899585f, 0.09375840f, 0.10518434f,
+       -0.04420241f, 0.01915282f, -3.56386811e-003f, 0.14586878f, 0.10286101f,
+       -0.04360626f, -0.12723237f, 0.09076386f, 0.11119842f, -0.06035013f,
+       0.09674817f, 0.08938243f, 0.07065924f, 0.02603180f, 5.84815582e-003f,
+       -0.05922065f, 0.12360309f, 3.59695964e-003f, 2.99844006e-003f,
+       0.03697936f, 0.02043072f, 0.04168725f, 0.01025975f, -0.01359980f,
+       -0.01600920f, 0.02581056f, 0.02329250f, 2.98100687e-003f, 0.01629762f,
+       0.06652115f, 0.05855627f, 0.01237463f, -0.01297135f, 0.01761587f,
+       0.05090865f, 0.06549342f, -0.04425945f, 2.43203156e-003f,
+       3.07327788e-003f, 0.06678630f, -0.04303836f, 0.01082393f, -0.06476044f,
+       0.04077786f, 0.12441979f, 0.08237778f, 0.07424165f, 0.04065890f,
+       0.06905543f, 0.09556347f, 0.12724875f, -0.02132082f, 0.08514154f,
+       -0.04175328f, -0.02666954f, 0.01897836f, 0.03317382f, 9.45465732e-003f,
+       -0.01238974f, -0.04242500f, -0.01419479f, -0.03545213f, -0.02440874f,
+       0.08684119f, 0.04212951f, 0.02462858f, -0.01104825f, -5.01706870e-003f,
+       0.02968982f, 0.02597476f, -0.01568939f, 0.04514892f, 0.06974549f,
+       0.08670278f, 0.06828108f, 0.10238872f, 0.05405957f, 0.06548470f,
+       -0.03763957f, 0.01366090f, 0.07069602f, 0.05363748f, 0.04798120f,
+       0.11706422f, 0.05466456f, -0.01869259f, 0.06344382f, 0.03106543f,
+       0.08432506f, -0.02061096f, 0.03821088f, -6.92190882e-003f,
+       6.40467042e-003f, -0.01271779f, 6.89014705e-005f, 0.04541415f,
+       -0.01899539f, -0.05020239f, 0.03000903f, 0.01090422f, 4.52452758e-003f,
+       0.02573632f, -0.02388454f, -0.04200457f, 1.72783900e-003f,
+       -0.05978370f, -0.02720562f, 0.06573715f, 0.01154317f, 0.01265615f,
+       0.07375994f, -9.19828378e-003f, -0.04914120f, 0.02124831f, 0.06455322f,
+       0.04372910f, -0.03310043f, 0.03605788f, -6.78055827e-003f,
+       9.36202332e-003f, 0.01747596f, -0.06406314f, -0.06812935f, 0.08080816f,
+       -0.02778088f, 0.02735260f, 0.06393493f, 0.06652229f, 0.05676993f,
+       0.08640018f, -7.59188086e-003f, -0.02012847f, -0.04741159f,
+       -0.01657069f, -0.01624399f, 0.05547778f, -2.33309763e-003f,
+       0.01120033f, 0.06141156f, -0.06285004f, -0.08732341f, -0.09313398f,
+       -0.04267832f, 5.57443965e-003f, 0.04809862f, 0.01773641f,
+       5.37361018e-003f, 0.14842421f, -0.06298012f, -0.02935147f, 0.11443478f,
+       -0.05034208f, 5.65494271e-003f, 0.02076526f, -0.04577984f,
+       -0.04735741f, 0.02961071f, -0.09307127f, -0.04417921f, -0.04990027f,
+       -0.03940028f, 0.01306016f, 0.06267900f, 0.03758737f, 0.08460117f,
+       0.13858789f, 0.04862388f, -0.06319809f, -0.05655516f, 0.01885816f,
+       -0.03285607f, 0.03371567f, -0.07040928f, -0.04514049f, 0.01392166f,
+       0.08184422f, -0.07230316f, 0.02386871f, 0.02184591f, 0.02605764f,
+       -0.01033954f, 9.29878280e-003f, 7.67351175e-003f, 0.15189242f,
+       0.02069071f, -0.09738296f, -0.08894105f, -0.07768748f, 0.02332268f,
+       -0.01778995f, -0.03258888f, -0.08180822f, -0.08492987f, 0.02290156f,
+       -0.11368170f, -0.03554465f, -0.04533844f, -0.02861580f, 0.06782424f,
+       0.01113123f, 0.02453644f, 0.12721945f, 0.08084814f, -0.03607795f,
+       0.01109122f, 0.04803548f, -0.03489929f, 0.03399536f, -0.05682014f,
+       8.59533902e-003f, -4.27904585e-003f, 0.03230887f, -0.01300198f,
+       -0.01038137f, -0.07930113f, 8.33097473e-003f, 0.02296994f,
+       -0.01306500f, -0.01881626f, 0.04413369f, 0.05729880f, -0.03761553f,
+       0.01942326f, 1.64540811e-003f, -0.03811319f, 0.04190650f, -0.14978096f,
+       -0.04514487f, 0.01209545f, -5.46460645e-003f, -0.01647195f,
+       7.63064111e-003f, -0.07494587f, 0.08415288f, 0.10020141f, -0.01228561f,
+       0.06553826f, 0.04554005f, 0.07890417f, 0.03041138f, 0.01752007f,
+       0.09208256f, -3.74419295e-004f, 0.10549527f, 0.04686913f, 0.01894833f,
+       -0.02651412f, -4.34682379e-003f, 5.44942822e-003f, 0.01444484f,
+       0.05882156f, -0.03336544f, 0.04603891f, -0.10432546f, 0.01923928f,
+       0.01842845f, -0.01712168f, -0.02222766f, 0.04693324f, -0.06202956f,
+       -0.01422159f, 0.08732220f, -0.07706107f, 0.02661049f, -0.04300238f,
+       -0.03092422f, -0.03552184f, -0.01886088f, -0.04979934f, 0.03906401f,
+       0.04608644f, 0.04966111f, 0.04275464f, -0.04621769f, -0.02653212f,
+       8.57011229e-003f, 0.03839684f, 0.05818764f, 0.03880796f,
+       -2.76100676e-004f, 0.03076511f, -0.03266929f, -0.05374557f,
+       0.04986527f, -9.45429131e-003f, 0.03582499f, -2.64564669e-003f,
+       -1.07461517e-003f, 0.02962313f, -0.01483363f, 0.03060869f, 0.02448327f,
+       0.01845641f, 0.03282966f, -0.03534438f, -0.01084059f, -0.01119136f,
+       -1.85360224e-003f, -5.94652840e-004f, -0.04451817f, 2.98327743e-003f,
+       0.06272484f, -0.02152076f, -3.05971340e-003f, -0.05070828f,
+       0.01531762f, 0.01282815f, 0.05167150f, 9.46266949e-003f,
+       -3.34558333e-003f, 0.11442288f, -0.03906701f, -2.67325155e-003f,
+       0.03069184f, -0.01134165f, 0.02949462f, 0.02879886f, 0.03855566f,
+       -0.03450781f, 0.09142872f, -0.02156654f, 0.06075062f, -0.06220816f,
+       0.01944680f, 6.68372354e-003f, -0.06656796f, 8.70784000e-003f,
+       0.03456013f, 0.02434320f, -0.13236357f, -0.04177035f, -0.02069627f,
+       0.01068112f, 0.01505432f, -0.07517391f, -3.83571628e-003f,
+       -0.06298508f, -0.02881260f, -0.13101046f, -0.07221562f,
+       -5.79945277e-003f, -8.57300125e-003f, 0.03782469f, 0.02762164f,
+       0.04942456f, -0.02936396f, 0.09597211f, 0.01921411f, 0.06101191f,
+       -0.04787507f, -0.01379578f, -7.40224449e-003f, -0.02220136f,
+       -0.01313756f, 7.77558051e-003f, 0.12296968f, 0.02939998f, 0.03594062f,
+       -0.07788624f, -0.01133144f, 3.99316690e-004f, -0.06090347f,
+       -0.01122066f, -4.68682544e-003f, 0.07633100f, -0.06748922f,
+       -0.05640298f, -0.05265681f, -0.01139122f, -0.01624347f, -0.04715714f,
+       -0.01099092f, 0.01048561f, 3.28499987e-003f, -0.05810167f,
+       -0.07699911f, -0.03330683f, 0.04185145f, 0.03478536f, 0.02275165f,
+       0.02304766f, 6.66040834e-003f, 0.10968148f, -5.93013782e-003f,
+       -0.04858336f, -0.04203213f, -0.09316786f, -6.13074889e-003f,
+       -0.02544625f, 0.01366201f, 9.18555818e-003f, -0.01846578f,
+       -0.05622401f, -0.03989377f, -0.07810296f, 6.91275718e-003f,
+       0.05957597f, -0.03901334f, 0.01572002f, -0.01193903f,
+       -6.89400872e-003f, -0.03093356f, -0.04136098f, -0.01562869f,
+       -0.04604580f, 0.02865234f, -0.08678447f, -0.03232484f, -0.05364593f,
+       -0.01445016f, -0.07003860f, -0.08669746f, -0.04520775f, 0.04274122f,
+       0.03117515f, 0.08175703f, 0.01081109f, 0.06379741f, 0.06199206f,
+       0.02865988f, 0.02360346f, 0.06725410f, -0.03248780f, -9.37702879e-003f,
+       0.08265898f, -0.02245839f, 0.05125763f, -0.01862395f, 0.01973453f,
+       -0.01994494f, -0.10770868f, 0.03180375f, 3.23935156e-003f,
+       -0.02142080f, -0.04256190f, 0.04760900f, 0.04282863f, 0.05635953f,
+       -0.01870849f, 0.05540622f, -0.03042666f, 0.01455277f, -0.06630179f,
+       -0.05843807f, -0.03739681f, -0.09739155f, -0.03220233f, -0.05620182f,
+       -0.10381401f, 0.07400211f, 4.20676917e-003f, 0.03258535f,
+       2.14308966e-003f, 0.05121966f, -0.01274337f, 0.02384761f, 0.06335578f,
+       -0.07905591f, 0.08375625f, -0.07898903f, -0.06508528f, -0.02498444f,
+       0.06535810f, 0.03970535f, 0.04895468f, -0.01169566f, -0.03980601f,
+       0.05682293f, 0.05925463f, -0.01165808f, -0.07936699f, -0.04208954f,
+       0.01333987f, 0.09051196f, 0.10098671f, -0.03974256f, 0.01238771f,
+       -0.07501741f, -0.03655440f, -0.04301528f, 0.09216860f,
+       4.63579083e-004f, 0.02851115f, 0.02142735f, 1.28244064e-004f,
+       0.02879687f, -0.08554889f, -0.04838862f, 0.08135369f, -0.05756533f,
+       0.01413900f, 0.03451880f, -0.06619488f, -0.03053130f, 0.02961676f,
+       -0.07384635f, 0.01135692f, 0.05283910f, -0.07778034f, -0.02107482f,
+       -0.05511716f, -0.13473752f, 0.03030157f, 0.06722020f, -0.06218817f,
+       -0.05826827f, 0.06254654f, 0.02895772f, -0.01664000f, -0.03620280f,
+       -0.01612278f, -1.46097376e-003f, 0.14013411f, -8.96181818e-003f,
+       -0.03250246f, 3.38630192e-003f, 2.64779478e-003f, 0.03359732f,
+       -0.02411991f, -0.04229729f, 0.10666174f, -6.66579151f };
+    return vector<float>(detector, detector + sizeof(detector)/sizeof(detector[0]));
+}
+
+}