solvepnp.cpp

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#include "solvepnp.h"
#include <iostream>
 
using namespace cv;
 
namespace cv3
{
 
class PnPRansacCallback : public PointSetRegistrator::Callback
{
 
public:
 
    PnPRansacCallback(Mat _cameraMatrix=Mat(3,3,CV_64F), Mat _distCoeffs=Mat(4,1,CV_64F), int _flags=CV_ITERATIVE,
            bool _useExtrinsicGuess=false, Mat _rvec=Mat(), Mat _tvec=Mat() )
        : cameraMatrix(_cameraMatrix), distCoeffs(_distCoeffs), flags(_flags), useExtrinsicGuess(_useExtrinsicGuess),
          rvec(_rvec), tvec(_tvec) {}
 
    /* Pre: True */
    /* Post: compute _model with given points an return number of found models */
    int runKernel( InputArray _m1, InputArray _m2, OutputArray _model ) const
    {
        Mat opoints = _m1.getMat(), ipoints = _m2.getMat();
 
        bool correspondence = solvePnP( _m1, _m2, cameraMatrix, distCoeffs,
                                            rvec, tvec, useExtrinsicGuess, flags );
 
        Mat _local_model;
        hconcat(rvec, tvec, _local_model);
        _local_model.copyTo(_model);
 
        return correspondence;
    }
 
    /* Pre: True */
    /* Post: fill _err with projection errors */
    void computeError( InputArray _m1, InputArray _m2, InputArray _model, OutputArray _err ) const
    {
 
        Mat opoints = _m1.getMat(), ipoints = _m2.getMat(), model = _model.getMat();
 
        int i, count = opoints.checkVector(3);
        Mat _rvec = model.col(0);
        Mat _tvec = model.col(1);
 
 
        Mat projpoints(count, 2, CV_32FC1);
        projectPoints(opoints, _rvec, _tvec, cameraMatrix, distCoeffs, projpoints);
 
        const Point2f* ipoints_ptr = ipoints.ptr<Point2f>();
        const Point2f* projpoints_ptr = projpoints.ptr<Point2f>();
 
        _err.create(count, 1, CV_32FC1);
        float* err = _err.getMat().ptr<float>();
 
        for ( i = 0; i < count; ++i)
            err[i] = (float)norm( ipoints_ptr[i] - projpoints_ptr[i] );
 
    }
 
 
    Mat cameraMatrix;
    Mat distCoeffs;
    int flags;
    bool useExtrinsicGuess;
    Mat rvec;
    Mat tvec;
};
 
bool solvePnPRansac(InputArray _opoints, InputArray _ipoints,
                        InputArray _cameraMatrix, InputArray _distCoeffs,
                        OutputArray _rvec, OutputArray _tvec, bool useExtrinsicGuess,
                        int iterationsCount, float reprojectionError, double confidence,
                        OutputArray _inliers, int flags)
{
 
    Mat opoints0 = _opoints.getMat(), ipoints0 = _ipoints.getMat();
    Mat opoints, ipoints;
    if( opoints0.depth() == CV_64F || !opoints0.isContinuous() )
        opoints0.convertTo(opoints, CV_32F);
    else
        opoints = opoints0;
    if( ipoints0.depth() == CV_64F || !ipoints0.isContinuous() )
        ipoints0.convertTo(ipoints, CV_32F);
    else
        ipoints = ipoints0;
 
    int npoints = std::max(opoints.checkVector(3, CV_32F), opoints.checkVector(3, CV_64F));
    CV_Assert( npoints >= 0 && npoints == std::max(ipoints.checkVector(2, CV_32F), ipoints.checkVector(2, CV_64F)) );
 
    CV_Assert(opoints.isContinuous());
    CV_Assert(opoints.depth() == CV_32F || opoints.depth() == CV_64F);
    CV_Assert((opoints.rows == 1 && opoints.channels() == 3) || opoints.cols*opoints.channels() == 3);
    CV_Assert(ipoints.isContinuous());
    CV_Assert(ipoints.depth() == CV_32F || ipoints.depth() == CV_64F);
    CV_Assert((ipoints.rows == 1 && ipoints.channels() == 2) || ipoints.cols*ipoints.channels() == 2);
 
    Mat rvec = useExtrinsicGuess ? _rvec.getMat() : Mat(3, 1, CV_64FC1);
    Mat tvec = useExtrinsicGuess ? _tvec.getMat() : Mat(3, 1, CV_64FC1);
    Mat cameraMatrix = _cameraMatrix.getMat(), distCoeffs = _distCoeffs.getMat();
 
    int model_points = 6;
    int ransac_kernel_method = CV_EPNP;
 
    if( npoints == 4 )
    {
        model_points = 4;
        ransac_kernel_method = CV_P3P;
    }
 
    Ptr<PointSetRegistrator::Callback> cb; // pointer to callback
    cb = Ptr<PnPRansacCallback>(new PnPRansacCallback( cameraMatrix, distCoeffs, ransac_kernel_method, useExtrinsicGuess, rvec, tvec));
 
    double param1 = reprojectionError;                // reprojection error
    double param2 = confidence;                       // confidence
    int param3 = iterationsCount;                     // number maximum iterations
 
    Mat _local_model(3, 2, CV_64FC1);
    Mat _mask_local_inliers(1, opoints.rows, CV_8UC1);
 
    // call Ransac
    int result = createRANSACPointSetRegistrator(cb, model_points,
        param1, param2, param3)->run(opoints, ipoints, _local_model, _mask_local_inliers);
 
    if( result > 0 )
    {
        std::vector<Point3d> opoints_inliers;
        std::vector<Point2d> ipoints_inliers;
        opoints.convertTo(opoints_inliers, CV_64F);
        ipoints.convertTo(ipoints_inliers, CV_64F);
 
        const uchar* mask = _mask_local_inliers.ptr<uchar>();
        int npoints1 = compressElems(&opoints_inliers[0], mask, 1, npoints);
        compressElems(&ipoints_inliers[0], mask, 1, npoints);
 
        opoints_inliers.resize(npoints1);
        ipoints_inliers.resize(npoints1);
        result = solvePnP(opoints_inliers, ipoints_inliers, cameraMatrix,
                          distCoeffs, rvec, tvec, useExtrinsicGuess, flags == CV_P3P ? CV_EPNP : flags) ? 1 : -1;
    }
 
    if( result <= 0 || _local_model.rows <= 0)
    {
        rvec.copyTo(_rvec);    // output rotation vector
        tvec.copyTo(_tvec);    // output translation vector
 
        if( _inliers.needed() )
            _inliers.release();
 
        return false;
    }
    else
    {
        _local_model.col(0).copyTo(_rvec);    // output rotation vector
        _local_model.col(1).copyTo(_tvec);    // output translation vector
    }
 
    if(_inliers.needed())
    {
        Mat _local_inliers;
        for (int i = 0; i < npoints; ++i)
        {
            if((int)_mask_local_inliers.at<uchar>(i) != 0) // inliers mask
                _local_inliers.push_back(i);    // output inliers vector
        }
        _local_inliers.copyTo(_inliers);
    }
    return true;
}
 
int RANSACUpdateNumIters( double p, double ep, int modelPoints, int maxIters )
{
    if( modelPoints <= 0 )
        CV_Error( 0, "the number of model points should be positive" );
 
    p = MAX(p, 0.);
    p = MIN(p, 1.);
    ep = MAX(ep, 0.);
    ep = MIN(ep, 1.);
 
    // avoid inf's & nan's
    double num = MAX(1. - p, DBL_MIN);
    double denom = 1. - std::pow(1. - ep, modelPoints);
    if( denom < DBL_MIN )
        return 0;
 
    num = std::log(num);
    denom = std::log(denom);
 
    return denom >= 0 || -num >= maxIters*(-denom) ? maxIters : cvRound(num/denom);
}
 
class RANSACPointSetRegistrator : public PointSetRegistrator
{
public:
    RANSACPointSetRegistrator(const Ptr<PointSetRegistrator::Callback>& _cb=Ptr<PointSetRegistrator::Callback>(),
                              int _modelPoints=0, double _threshold=0, double _confidence=0.99, int _maxIters=1000)
    : cb(_cb), modelPoints(_modelPoints), threshold(_threshold), confidence(_confidence), maxIters(_maxIters)
    {
        checkPartialSubsets = false;
    }
 
    int findInliers( const Mat& m1, const Mat& m2, const Mat& model, Mat& err, Mat& mask, double thresh ) const
    {
        cb->computeError( m1, m2, model, err );
        mask.create(err.size(), CV_8U);
 
        CV_Assert( err.isContinuous() && err.type() == CV_32F && mask.isContinuous() && mask.type() == CV_8U);
        const float* errptr = err.ptr<float>();
        uchar* maskptr = mask.ptr<uchar>();
        float t = (float)(thresh*thresh);
        int i, n = (int)err.total(), nz = 0;
        for( i = 0; i < n; i++ )
        {
            int f = errptr[i] <= t;
            maskptr[i] = (uchar)f;
            nz += f;
        }
        return nz;
    }
 
    bool getSubset( const Mat& m1, const Mat& m2,
                    Mat& ms1, Mat& ms2, RNG& rng,
                    int maxAttempts=1000 ) const
    {
        cv::AutoBuffer<int> _idx(modelPoints);
        int* idx = _idx;
        int i = 0, j, k, iters = 0;
        int esz1 = (int)m1.elemSize(), esz2 = (int)m2.elemSize();
        int d1 = m1.channels() > 1 ? m1.channels() : m1.cols;
        int d2 = m2.channels() > 1 ? m2.channels() : m2.cols;
        int count = m1.checkVector(d1), count2 = m2.checkVector(d2);
        const int *m1ptr = m1.ptr<int>(), *m2ptr = m2.ptr<int>();
 
        ms1.create(modelPoints, 1, CV_MAKETYPE(m1.depth(), d1));
        ms2.create(modelPoints, 1, CV_MAKETYPE(m2.depth(), d2));
 
        int *ms1ptr = ms1.ptr<int>(), *ms2ptr = ms2.ptr<int>();
 
        CV_Assert( count >= modelPoints && count == count2 );
        CV_Assert( (esz1 % sizeof(int)) == 0 && (esz2 % sizeof(int)) == 0 );
        esz1 /= sizeof(int);
        esz2 /= sizeof(int);
 
        for(; iters < maxAttempts; iters++)
        {
            for( i = 0; i < modelPoints && iters < maxAttempts; )
            {
                int idx_i = 0;
                for(;;)
                {
                    idx_i = idx[i] = rng.uniform(0, count);
                    for( j = 0; j < i; j++ )
                        if( idx_i == idx[j] )
                            break;
                    if( j == i )
                        break;
                }
                for( k = 0; k < esz1; k++ )
                    ms1ptr[i*esz1 + k] = m1ptr[idx_i*esz1 + k];
                for( k = 0; k < esz2; k++ )
                    ms2ptr[i*esz2 + k] = m2ptr[idx_i*esz2 + k];
                if( checkPartialSubsets && !cb->checkSubset( ms1, ms2, i+1 ))
                {
                    // we may have selected some bad points;
                    // so, let's remove some of them randomly
                    i = rng.uniform(0, i+1);
                    iters++;
                    continue;
                }
                i++;
            }
            if( !checkPartialSubsets && i == modelPoints && !cb->checkSubset(ms1, ms2, i))
                continue;
            break;
        }
 
        return i == modelPoints && iters < maxAttempts;
    }
 
    bool run(InputArray _m1, InputArray _m2, OutputArray _model, OutputArray _mask) const
    {
        bool result = false;
        Mat m1 = _m1.getMat(), m2 = _m2.getMat();
        Mat err, mask, model, bestModel, ms1, ms2;
 
        int iter, niters = MAX(maxIters, 1);
        int d1 = m1.channels() > 1 ? m1.channels() : m1.cols;
        int d2 = m2.channels() > 1 ? m2.channels() : m2.cols;
        int count = m1.checkVector(d1), count2 = m2.checkVector(d2), maxGoodCount = 0;
 
        RNG rng((uint64)-1);
 
        CV_Assert( cb );
        CV_Assert( confidence > 0 && confidence < 1 );
 
        CV_Assert( count >= 0 && count2 == count );
        if( count < modelPoints )
            return false;
 
        Mat bestMask0, bestMask;
 
        if( _mask.needed() )
        {
            _mask.create(count, 1, CV_8U, -1, true);
            bestMask0 = bestMask = _mask.getMat();
            CV_Assert( (bestMask.cols == 1 || bestMask.rows == 1) && (int)bestMask.total() == count );
        }
        else
        {
            bestMask.create(count, 1, CV_8U);
            bestMask0 = bestMask;
        }
 
        if( count == modelPoints )
        {
            if( cb->runKernel(m1, m2, bestModel) <= 0 )
                return false;
            bestModel.copyTo(_model);
            bestMask.setTo(Scalar::all(1));
            return true;
        }
 
        for( iter = 0; iter < niters; iter++ )
        {
            int i, goodCount, nmodels;
            if( count > modelPoints )
            {
                bool found = getSubset( m1, m2, ms1, ms2, rng, 10000 );
                if( !found )
                {
                    if( iter == 0 )
                        return false;
                    break;
                }
            }
 
            nmodels = cb->runKernel( ms1, ms2, model );
            if( nmodels <= 0 )
                continue;
            CV_Assert( model.rows % nmodels == 0 );
            Size modelSize(model.cols, model.rows/nmodels);
 
            for( i = 0; i < nmodels; i++ )
            {
                Mat model_i = model.rowRange( i*modelSize.height, (i+1)*modelSize.height );
                goodCount = findInliers( m1, m2, model_i, err, mask, threshold );
 
                if( goodCount > MAX(maxGoodCount, modelPoints-1) )
                {
                    std::swap(mask, bestMask);
                    model_i.copyTo(bestModel);
                    maxGoodCount = goodCount;
                    niters = RANSACUpdateNumIters( confidence, (double)(count - goodCount)/count, modelPoints, niters );
                }
            }
        }
 
        if( maxGoodCount > 0 )
        {
            if( bestMask.data != bestMask0.data )
            {
                if( bestMask.size() == bestMask0.size() )
                    bestMask.copyTo(bestMask0);
                else
                    transpose(bestMask, bestMask0);
            }
            bestModel.copyTo(_model);
            result = true;
        }
        else
            _model.release();
 
        return result;
    }
 
    void setCallback(const Ptr<PointSetRegistrator::Callback>& _cb) { cb = _cb; }
 
    Ptr<PointSetRegistrator::Callback> cb;
    int modelPoints;
    bool checkPartialSubsets;
    double threshold;
    double confidence;
    int maxIters;
};
 
class LMeDSPointSetRegistrator : public RANSACPointSetRegistrator
{
public:
    LMeDSPointSetRegistrator(const Ptr<PointSetRegistrator::Callback>& _cb=Ptr<PointSetRegistrator::Callback>(),
                              int _modelPoints=0, double _confidence=0.99, int _maxIters=1000)
    : RANSACPointSetRegistrator(_cb, _modelPoints, 0, _confidence, _maxIters) {}
 
    bool run(InputArray _m1, InputArray _m2, OutputArray _model, OutputArray _mask) const
    {
        const double outlierRatio = 0.45;
        bool result = false;
        Mat m1 = _m1.getMat(), m2 = _m2.getMat();
        Mat ms1, ms2, err, errf, model, bestModel, mask, mask0;
 
        int d1 = m1.channels() > 1 ? m1.channels() : m1.cols;
        int d2 = m2.channels() > 1 ? m2.channels() : m2.cols;
        int count = m1.checkVector(d1), count2 = m2.checkVector(d2);
        double minMedian = DBL_MAX, sigma;
 
        RNG rng((uint64)-1);
 
        CV_Assert( cb );
        CV_Assert( confidence > 0 && confidence < 1 );
 
        CV_Assert( count >= 0 && count2 == count );
        if( count < modelPoints )
            return false;
 
        if( _mask.needed() )
        {
            _mask.create(count, 1, CV_8U, -1, true);
            mask0 = mask = _mask.getMat();
            CV_Assert( (mask.cols == 1 || mask.rows == 1) && (int)mask.total() == count );
        }
 
        if( count == modelPoints )
        {
            if( cb->runKernel(m1, m2, bestModel) <= 0 )
                return false;
            bestModel.copyTo(_model);
            mask.setTo(Scalar::all(1));
            return true;
        }
 
        int iter, niters = RANSACUpdateNumIters(confidence, outlierRatio, modelPoints, maxIters);
        niters = MAX(niters, 3);
 
        for( iter = 0; iter < niters; iter++ )
        {
            int i, nmodels;
            if( count > modelPoints )
            {
                bool found = getSubset( m1, m2, ms1, ms2, rng );
                if( !found )
                {
                    if( iter == 0 )
                        return false;
                    break;
                }
            }
 
            nmodels = cb->runKernel( ms1, ms2, model );
            if( nmodels <= 0 )
                continue;
 
            CV_Assert( model.rows % nmodels == 0 );
            Size modelSize(model.cols, model.rows/nmodels);
 
            for( i = 0; i < nmodels; i++ )
            {
                Mat model_i = model.rowRange( i*modelSize.height, (i+1)*modelSize.height );
                cb->computeError( m1, m2, model_i, err );
                if( err.depth() != CV_32F )
                    err.convertTo(errf, CV_32F);
                else
                    errf = err;
                CV_Assert( errf.isContinuous() && errf.type() == CV_32F && (int)errf.total() == count );
                std::sort(errf.ptr<int>(), errf.ptr<int>() + count);
 
                double median = count % 2 != 0 ?
                errf.at<float>(count/2) : (errf.at<float>(count/2-1) + errf.at<float>(count/2))*0.5;
 
                if( median < minMedian )
                {
                    minMedian = median;
                    model_i.copyTo(bestModel);
                }
            }
        }
 
        if( minMedian < DBL_MAX )
        {
            sigma = 2.5*1.4826*(1 + 5./(count - modelPoints))*std::sqrt(minMedian);
            sigma = MAX( sigma, 0.001 );
 
            count = findInliers( m1, m2, bestModel, err, mask, sigma );
            if( _mask.needed() && mask0.data != mask.data )
            {
                if( mask0.size() == mask.size() )
                    mask.copyTo(mask0);
                else
                    transpose(mask, mask0);
            }
            bestModel.copyTo(_model);
            result = count >= modelPoints;
        }
        else
            _model.release();
 
        return result;
    }
 
};
 
Ptr<PointSetRegistrator> createRANSACPointSetRegistrator(const Ptr<PointSetRegistrator::Callback>& _cb,
                                                         int _modelPoints, double _threshold,
                                                         double _confidence, int _maxIters)
{
    return Ptr<PointSetRegistrator>(
        new RANSACPointSetRegistrator(_cb, _modelPoints, _threshold, _confidence, _maxIters));
}
 
 
Ptr<PointSetRegistrator> createLMeDSPointSetRegistrator(const Ptr<PointSetRegistrator::Callback>& _cb,
                             int _modelPoints, double _confidence, int _maxIters)
{
    return Ptr<PointSetRegistrator>(
        new LMeDSPointSetRegistrator(_cb, _modelPoints, _confidence, _maxIters));
}
 
 
class Affine3DEstimatorCallback : public PointSetRegistrator::Callback
{
public:
    int runKernel( InputArray _m1, InputArray _m2, OutputArray _model ) const
    {
        Mat m1 = _m1.getMat(), m2 = _m2.getMat();
        const Point3f* from = m1.ptr<Point3f>();
        const Point3f* to   = m2.ptr<Point3f>();
 
        const int N = 12;
        double buf[N*N + N + N];
        Mat A(N, N, CV_64F, &buf[0]);
        Mat B(N, 1, CV_64F, &buf[0] + N*N);
        Mat X(N, 1, CV_64F, &buf[0] + N*N + N);
        double* Adata = A.ptr<double>();
        double* Bdata = B.ptr<double>();
        A = Scalar::all(0);
 
        for( int i = 0; i < (N/3); i++ )
        {
            Bdata[i*3] = to[i].x;
            Bdata[i*3+1] = to[i].y;
            Bdata[i*3+2] = to[i].z;
 
            double *aptr = Adata + i*3*N;
            for(int k = 0; k < 3; ++k)
            {
                aptr[0] = from[i].x;
                aptr[1] = from[i].y;
                aptr[2] = from[i].z;
                aptr[3] = 1.0;
                aptr += 16;
            }
        }
 
        solve(A, B, X, DECOMP_SVD);
        X.reshape(1, 3).copyTo(_model);
 
        return 1;
    }
 
    void computeError( InputArray _m1, InputArray _m2, InputArray _model, OutputArray _err ) const
    {
        Mat m1 = _m1.getMat(), m2 = _m2.getMat(), model = _model.getMat();
        const Point3f* from = m1.ptr<Point3f>();
        const Point3f* to   = m2.ptr<Point3f>();
        const double* F = model.ptr<double>();
 
        int count = m1.checkVector(3);
        CV_Assert( count > 0 );
 
        _err.create(count, 1, CV_32F);
        Mat err = _err.getMat();
        float* errptr = err.ptr<float>();
 
        for(int i = 0; i < count; i++ )
        {
            const Point3f& f = from[i];
            const Point3f& t = to[i];
 
            double a = F[0]*f.x + F[1]*f.y + F[ 2]*f.z + F[ 3] - t.x;
            double b = F[4]*f.x + F[5]*f.y + F[ 6]*f.z + F[ 7] - t.y;
            double c = F[8]*f.x + F[9]*f.y + F[10]*f.z + F[11] - t.z;
 
            errptr[i] = (float)std::sqrt(a*a + b*b + c*c);
        }
    }
 
    bool checkSubset( InputArray _ms1, InputArray _ms2, int count ) const
    {
        const float threshold = 0.996f;
        Mat ms1 = _ms1.getMat(), ms2 = _ms2.getMat();
 
        for( int inp = 1; inp <= 2; inp++ )
        {
            int j, k, i = count - 1;
            const Mat* msi = inp == 1 ? &ms1 : &ms2;
            const Point3f* ptr = msi->ptr<Point3f>();
 
            CV_Assert( count <= msi->rows );
 
            // check that the i-th selected point does not belong
            // to a line connecting some previously selected points
            for(j = 0; j < i; ++j)
            {
                Point3f d1 = ptr[j] - ptr[i];
                float n1 = d1.x*d1.x + d1.y*d1.y;
 
                for(k = 0; k < j; ++k)
                {
                    Point3f d2 = ptr[k] - ptr[i];
                    float denom = (d2.x*d2.x + d2.y*d2.y)*n1;
                    float num = d1.x*d2.x + d1.y*d2.y;
 
                    if( num*num > threshold*threshold*denom )
                        return false;
                }
            }
        }
        return true;
    }
};
 
}