反向投影图

    图像的反向投影图是用输入图像的某一位置上像素值(多维或灰度)对应在直方图的一个bin上的值来代替该像素值,所以得到的反向投影图是单通的。用统计学术语,输出图像象素点的值是观测数组在某个分布(直方图)下的概率。
反向投影图 - 十三月de天空 - 十三月de天空
 
其中 b(xi) 表示在位置 xi 上像素对应的直方图第 b(xi) bin ,直方图共 m bin ,qu表示第ubin的值。

还是以例子说明
(1)例如灰度图像如下

Image=

  0    1    2    3

  4    5    6    7

  8    9   10   11

  8    9   14   15

(2)该灰度图的直方图为(bin指定的区间为[0,3)[4,7)[8,11)[12,16)

Histogram=

  4    4    6    2

(3)反向投影图

Back_Projection=

  4    4    4    4

  4    4    4    4

  6    6    6    6

  6    6    2    2

例如位置(0,0)上的像素值为0,对应的bin[0,3),所以反向直方图在该位置上的值这个bin的值4


opencv提供的直方图反向投影函数:


CV_IMPL void
cvCalcArrBackProject( CvArr** img, CvArr* dst, const CvHistogram* hist )//输入为单通道的图像,输出为反向投影图形,hist为直方图数据结构
{
    CV_FUNCNAME( "cvCalcArrBackProject" );

    __BEGIN__;

    uchar* ptr[CV_MAX_DIM];
    uchar* dstptr = 0;
    int dststep = 0, step = 0;
    int i, dims;
    int cont_flag = -1;
    CvMat stub0, *mat0 = 0;
    CvSize size;

    if( !CV_IS_HIST(hist))
        CV_ERROR( CV_StsBadArg, "Bad histogram pointer" );

    if( !img )
        CV_ERROR( CV_StsNullPtr, "Null double array pointer" );

    CV_CALL( dims = cvGetDims( hist->bins ));
    
    for( i = 0; i <= dims; i++ )
    {
        CvMat stub, *mat = (CvMat*)(i < dims ? img[i] : dst);
        CV_CALL( mat = cvGetMat( mat, i == 0 ? &stub0 : &stub, 0, 1 ));//返回矩阵头,对于iplimage和cvmat类型返回值不同

        if( CV_MAT_CN( mat->type ) != 1 )
            CV_ERROR( CV_BadNumChannels, "Only 1-channel arrays are allowed here" );

        if( i == 0 )
        {
            mat0 = mat;
            step = mat0->step;
        }
        else
        {
            if( !CV_ARE_SIZES_EQ( mat0, mat ))
                CV_ERROR( CV_StsUnmatchedSizes, "Not all the planes have equal sizes" );

            if( mat0->step != mat->step )
                CV_ERROR( CV_StsUnmatchedSizes, "Not all the planes have equal steps" );

            if( !CV_ARE_TYPES_EQ( mat0, mat ))
                CV_ERROR( CV_StsUnmatchedFormats, "Not all the planes have equal types" );
        }

        cont_flag &= mat->type;
        if( i < dims )
            ptr[i] = mat->data.ptr;
        else
        {
            dstptr = mat->data.ptr;  //输出指针
            dststep = mat->step;
        }
    }

    size = cvGetMatSize(mat0);
    if( CV_IS_MAT_CONT( cont_flag ))
    {
        size.width *= size.height;
        size.height = 1;
        dststep = step = CV_STUB_STEP;
    }

    if( CV_MAT_DEPTH(mat0->type) > CV_8S && !CV_HIST_HAS_RANGES(hist))
        CV_ERROR( CV_StsBadArg, "histogram ranges must be set (via cvSetHistBinRanges) "
                                "before calling the function" );

    switch( CV_MAT_DEPTH(mat0->type) )
    {
    case CV_8U:
        IPPI_CALL( icvCalcBackProject_8u_C1R( ptr, step, dstptr, dststep, size, hist ));
     break;
    case CV_32F:
        {
        union { uchar** ptr; float** fl; } v;
        v.ptr = ptr;
     IPPI_CALL( icvCalcBackProject_32f_C1R( v.fl, step,
                                (float*)dstptr, dststep, size, hist ));
        }
     break;
    default:
        CV_ERROR( CV_StsUnsupportedFormat, "Unsupported array type" );
    }

    __END__;
}

static CvStatus CV_STDCALL
    icvCalcBackProject_8u_C1R( uchar** img, int step, uchar* dst, int dstStep,
                               CvSize size, const CvHistogram* hist )
{
    const int small_hist_size = 1<<12;
    int* tab = 0;
    int is_sparse = CV_IS_SPARSE_HIST(hist);
    int dims, histsize[CV_MAX_DIM];
    int i, x;
    CvStatus status;

    dims = cvGetDims( hist->bins, histsize );

    tab = (int*)cvStackAlloc( dims*256*sizeof(int));
    status = icvCalcHistLookupTables8u( hist, dims, histsize, tab );
    if( status < 0 )
        return status;

    if( !is_sparse )
    {
        int total = 1;
        CvMatND* mat = (CvMatND*)(hist->bins);
        float* bins = mat->data.fl;
        uchar* buffer = 0;

        for( i = 0; i < dims; i++ )
            total *= histsize[i];

        if( dims <= 3 && total >= -ICV_HIST_DUMMY_IDX )
            return CV_BADSIZE_ERR; // too big histogram

        if( dims > 1 && total <= small_hist_size && CV_IS_MAT_CONT(mat->type))
        {
            buffer = (uchar*)cvAlloc(total);
            if( !buffer )
                return CV_OUTOFMEM_ERR;
            for( i = 0; i < total; i++ )
            {
                int v = cvRound(bins[i]);
                buffer[i] = CV_CAST_8U(v);
            }
        }

        switch( dims )
        {
        case 1:
            {
            uchar tab1d[256];
            for( i = 0; i < 256; i++ )
            {
                int idx = tab[i];
                if( idx >= 0 )
                {
                    int v = cvRound(bins[idx]);
                    tab1d[i] = CV_CAST_8U(v);
                }
                else
                    tab1d[i] = 0;
            }

            for( ; size.height--; img[0] += step, dst += dstStep )
            {
                uchar* ptr = img[0];
                for( x = 0; x <= size.width - 4; x += 4 )
                {
                    uchar v0 = tab1d[ptr[x]];
                    uchar v1 = tab1d[ptr[x+1]];

                    dst[x] = v0;
                    dst[x+1] = v1;

                    v0 = tab1d[ptr[x+2]];
                    v1 = tab1d[ptr[x+3]];

                    dst[x+2] = v0;
                    dst[x+3] = v1;
                }

                for( ; x < size.width; x++ )
                    dst[x] = tab1d[ptr[x]];
            }
            }
            break;
        case 2:
            for( ; size.height--; img[0] += step, img[1] += step, dst += dstStep )
            {
                uchar* ptr0 = img[0];
                uchar* ptr1 = img[1];

                if( buffer )
                {
                    for( x = 0; x < size.width; x++ )
                    {
                        int v0 = ptr0[x];
                        int v1 = ptr1[x];
                        int idx = tab[v0] + tab[256+v1];
                        int v = 0;

                        if( idx >= 0 )
                            v = buffer[idx];

                        dst[x] = (uchar)v;
                    }
                }
                else
                {
                    for( x = 0; x < size.width; x++ )
                    {
                        int v0 = ptr0[x];
                        int v1 = ptr1[x];
                        int idx = tab[v0] + tab[256+v1];
                        int v = 0;

                        if( idx >= 0 )
                        {
                            v = cvRound(bins[idx]);
                            v = CV_CAST_8U(v);
                        }

                        dst[x] = (uchar)v;
                    }
                }
            }
            break;
        case 3:
            for( ; size.height--; img[0] += step, img[1] += step,
                                  img[2] += step, dst += dstStep )
            {
                uchar* ptr0 = img[0];
                uchar* ptr1 = img[1];
                uchar* ptr2 = img[2];

                if( buffer )
                {
                    for( x = 0; x < size.width; x++ )
                    {
                        int v0 = ptr0[x];
                        int v1 = ptr1[x];
                        int v2 = ptr2[x];
                        int idx = tab[v0] + tab[256+v1] + tab[512+v2];
                        int v = 0;

                        if( idx >= 0 )
                            v = buffer[idx];

                        dst[x] = (uchar)v;
                    }
                }
                else
                {
                    for( x = 0; x < size.width; x++ )
                    {
                        int v0 = ptr0[x];
                        int v1 = ptr1[x];
                        int v2 = ptr2[x];
                        int idx = tab[v0] + tab[256+v1] + tab[512+v2];
                        int v = 0;

                        if( idx >= 0 )
                        {
                            v = cvRound(bins[idx]);
                            v = CV_CAST_8U(v);
                        }
                        dst[x] = (uchar)v;
                    }
                }
            }
            break;
        default:
            for( ; size.height--; dst += dstStep )
            {
                if( buffer )
                {
                    for( x = 0; x < size.width; x++ )
                    {
                        uchar* binptr = buffer;
                        int v = 0;

                        for( i = 0; i < dims; i++ )
                        {
                            int idx = tab[i*256 + img[i][x]];
                            if( idx < 0 )
                                break;
                            binptr += idx;
                        }
                        
                        if( i == dims )
                            v = binptr[0];

                        dst[x] = (uchar)v;
                    }
                }
                else
                {
                    for( x = 0; x < size.width; x++ )
                    {
                        float* binptr = bins;
                        int v = 0;

                        for( i = 0; i < dims; i++ )
                        {
                            int idx = tab[i*256 + img[i][x]];
                            if( idx < 0 )
                                break;
                            binptr += idx;
                        }

                        if( i == dims )
                        {
                            v = cvRound( binptr[0] );
                            v = CV_CAST_8U(v);
                        }

                        dst[x] = (uchar)v;
                    }
                }

                for( i = 0; i < dims; i++ )
                    img[i] += step;
            }
        }

        cvFree( &buffer );
    }
    else
    {
        CvSparseMat* mat = (CvSparseMat*)(hist->bins);
        int node_idx[CV_MAX_DIM];

        for( ; size.height--; dst += dstStep )
        {
            for( x = 0; x < size.width; x++ )
            {
                int v = 0;

                for( i = 0; i < dims; i++ )
                {
                    int idx = tab[i*256 + img[i][x]];
                    if( idx < 0 )
                        break;
                    node_idx[i] = idx;
                }
                if( i == dims )
                {
                    float* bin = (float*)cvPtrND( mat, node_idx, 0, 1, 0 );
                    v = cvRound(bin[0]);
                    v = CV_CAST_8U(v);
                }

                dst[x] = (uchar)v;
            }

            for( i = 0; i < dims; i++ )
                img[i] += step;
        }
    }

    return CV_OK;
}


你可能感兴趣的:(OpenCV,算法,dst,buffer,float,arrays,types,数据结构)