Update to 2.0.0 tree from current Fremantle build
[opencv] / cvaux / src / cv3dtracker.cpp
diff --git a/cvaux/src/cv3dtracker.cpp b/cvaux/src/cv3dtracker.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.
-//
-//
-//                        Intel License Agreement
-//                For Open Source Computer Vision Library
-//
-// Copyright (C) 2002, Intel Corporation, 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:
-//
-//   * Redistributions of source code must retain the above copyright notice,
-//     this list of conditions and the following disclaimer.
-//
-//   * Redistributions 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 Intel Corporation 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"
-
-#if _MSC_VER >= 1200
-#pragma warning(disable:4786) // Disable MSVC warnings in the standard library.
-#pragma warning(disable:4100)
-#pragma warning(disable:4512)
-#endif
-#include <stdio.h>
-#include <map>
-#include <algorithm>
-#if _MSC_VER >= 1200
-#pragma warning(default:4100)
-#pragma warning(default:4512)
-#endif
-
-#define ARRAY_SIZEOF(a) (sizeof(a)/sizeof((a)[0]))
-
-static void FillObjectPoints(CvPoint3D32f *obj_points, CvSize etalon_size, float square_size);
-static void DrawEtalon(IplImage *img, CvPoint2D32f *corners,
-                       int corner_count, CvSize etalon_size, int draw_ordered);
-static void MultMatrix(float rm[4][4], const float m1[4][4], const float m2[4][4]);
-static void MultVectorMatrix(float rv[4], const float v[4], const float m[4][4]);
-static CvPoint3D32f ImageCStoWorldCS(const Cv3dTrackerCameraInfo &camera_info, CvPoint2D32f p);
-static bool intersection(CvPoint3D32f o1, CvPoint3D32f p1,
-                         CvPoint3D32f o2, CvPoint3D32f p2,
-                         CvPoint3D32f &r1, CvPoint3D32f &r2);
-
-/////////////////////////////////
-// cv3dTrackerCalibrateCameras //
-/////////////////////////////////
-CV_IMPL CvBool cv3dTrackerCalibrateCameras(int num_cameras,
-                   const Cv3dTrackerCameraIntrinsics camera_intrinsics[], // size is num_cameras
-                   CvSize etalon_size,
-                   float square_size,
-                   IplImage *samples[],                                   // size is num_cameras
-                   Cv3dTrackerCameraInfo camera_info[])                   // size is num_cameras
-{
-    CV_FUNCNAME("cv3dTrackerCalibrateCameras");
-    const int num_points = etalon_size.width * etalon_size.height;
-    int cameras_done = 0;        // the number of cameras whose positions have been determined
-    CvPoint3D32f *object_points = NULL; // real-world coordinates of checkerboard points
-    CvPoint2D32f *points = NULL; // 2d coordinates of checkerboard points as seen by a camera
-    IplImage *gray_img = NULL;   // temporary image for color conversion
-    IplImage *tmp_img = NULL;    // temporary image used by FindChessboardCornerGuesses
-    int c, i, j;
-
-    if (etalon_size.width < 3 || etalon_size.height < 3)
-        CV_ERROR(CV_StsBadArg, "Chess board size is invalid");
-
-    for (c = 0; c < num_cameras; c++)
-    {
-        // CV_CHECK_IMAGE is not available in the cvaux library
-        // so perform the checks inline.
-
-        //CV_CALL(CV_CHECK_IMAGE(samples[c]));
-
-        if( samples[c] == NULL )
-            CV_ERROR( CV_HeaderIsNull, "Null image" );
-
-        if( samples[c]->dataOrder != IPL_DATA_ORDER_PIXEL && samples[c]->nChannels > 1 )
-            CV_ERROR( CV_BadOrder, "Unsupported image format" );
-
-        if( samples[c]->maskROI != 0 || samples[c]->tileInfo != 0 )
-            CV_ERROR( CV_StsBadArg, "Unsupported image format" );
-
-        if( samples[c]->imageData == 0 )
-            CV_ERROR( CV_BadDataPtr, "Null image data" );
-
-        if( samples[c]->roi &&
-            ((samples[c]->roi->xOffset | samples[c]->roi->yOffset
-              | samples[c]->roi->width | samples[c]->roi->height) < 0 ||
-             samples[c]->roi->xOffset + samples[c]->roi->width > samples[c]->width ||
-             samples[c]->roi->yOffset + samples[c]->roi->height > samples[c]->height ||
-             (unsigned) (samples[c]->roi->coi) > (unsigned) (samples[c]->nChannels)))
-            CV_ERROR( CV_BadROISize, "Invalid ROI" );
-
-        // End of CV_CHECK_IMAGE inline expansion
-
-        if (samples[c]->depth != IPL_DEPTH_8U)
-            CV_ERROR(CV_BadDepth, "Channel depth of source image must be 8");
-
-        if (samples[c]->nChannels != 3 && samples[c]->nChannels != 1)
-            CV_ERROR(CV_BadNumChannels, "Source image must have 1 or 3 channels");
-    }
-
-    CV_CALL(object_points = (CvPoint3D32f *)cvAlloc(num_points * sizeof(CvPoint3D32f)));
-    CV_CALL(points = (CvPoint2D32f *)cvAlloc(num_points * sizeof(CvPoint2D32f)));
-
-    // fill in the real-world coordinates of the checkerboard points
-    FillObjectPoints(object_points, etalon_size, square_size);
-
-    for (c = 0; c < num_cameras; c++)
-    {
-        CvSize image_size = cvSize(samples[c]->width, samples[c]->height);
-        IplImage *img;
-
-        // The input samples are not required to all have the same size or color
-        // format. If they have different sizes, the temporary images are
-        // reallocated as necessary.
-        if (samples[c]->nChannels == 3)
-        {
-            // convert to gray
-            if (gray_img == NULL || gray_img->width != samples[c]->width ||
-                gray_img->height != samples[c]->height )
-            {
-                if (gray_img != NULL)
-                    cvReleaseImage(&gray_img);
-                CV_CALL(gray_img = cvCreateImage(image_size, IPL_DEPTH_8U, 1));
-            }
-            
-            CV_CALL(cvCvtColor(samples[c], gray_img, CV_BGR2GRAY));
-
-            img = gray_img;
-        }
-        else
-        {
-            // no color conversion required
-            img = samples[c];
-        }
-
-        if (tmp_img == NULL || tmp_img->width != samples[c]->width ||
-            tmp_img->height != samples[c]->height )
-        {
-            if (tmp_img != NULL)
-                cvReleaseImage(&tmp_img);
-            CV_CALL(tmp_img = cvCreateImage(image_size, IPL_DEPTH_8U, 1));
-        }
-
-        int count = num_points;
-        bool found = cvFindChessBoardCornerGuesses(img, tmp_img, 0,
-                                                   etalon_size, points, &count) != 0;
-        if (count == 0)
-            continue;
-        
-        // If found is true, it means all the points were found (count = num_points).
-        // If found is false but count is non-zero, it means that not all points were found.
-
-        cvFindCornerSubPix(img, points, count, cvSize(5,5), cvSize(-1,-1),
-                    cvTermCriteria(CV_TERMCRIT_ITER|CV_TERMCRIT_EPS, 10, 0.01f));
-
-        // If the image origin is BL (bottom-left), fix the y coordinates
-        // so they are relative to the true top of the image.
-        if (samples[c]->origin == IPL_ORIGIN_BL)
-        {
-            for (i = 0; i < count; i++)
-                points[i].y = samples[c]->height - 1 - points[i].y;
-        }
-
-        if (found)
-        {
-            // Make sure x coordinates are increasing and y coordinates are decreasing.
-            // (The y coordinate of point (0,0) should be the greatest, because the point
-            // on the checkerboard that is the origin is nearest the bottom of the image.)
-            // This is done after adjusting the y coordinates according to the image origin.
-            if (points[0].x > points[1].x)
-            {
-                // reverse points in each row
-                for (j = 0; j < etalon_size.height; j++)
-                {
-                    CvPoint2D32f *row = &points[j*etalon_size.width];
-                    for (i = 0; i < etalon_size.width/2; i++)
-                        std::swap(row[i], row[etalon_size.width-i-1]);
-                }
-            }
-
-            if (points[0].y < points[etalon_size.width].y)
-            {
-                // reverse points in each column
-                for (i = 0; i < etalon_size.width; i++)
-                {
-                    for (j = 0; j < etalon_size.height/2; j++)
-                        std::swap(points[i+j*etalon_size.width],
-                                  points[i+(etalon_size.height-j-1)*etalon_size.width]);
-                }
-            }
-        }
-
-        DrawEtalon(samples[c], points, count, etalon_size, found);
-
-        if (!found)
-            continue;
-
-        float rotVect[3];
-        float rotMatr[9];
-        float transVect[3];
-
-        cvFindExtrinsicCameraParams(count,
-                                    image_size,
-                                    points,
-                                    object_points,
-                                    const_cast<float *>(camera_intrinsics[c].focal_length),
-                                    camera_intrinsics[c].principal_point,
-                                    const_cast<float *>(camera_intrinsics[c].distortion),
-                                    rotVect,
-                                    transVect);
-
-        // Check result against an arbitrary limit to eliminate impossible values.
-        // (If the chess board were truly that far away, the camera wouldn't be able to
-        // see the squares.)
-        if (transVect[0] > 1000*square_size
-            || transVect[1] > 1000*square_size
-            || transVect[2] > 1000*square_size)
-        {
-            // ignore impossible results
-            continue;
-        }
-
-        CvMat rotMatrDescr = cvMat(3, 3, CV_32FC1, rotMatr);
-        CvMat rotVectDescr = cvMat(3, 1, CV_32FC1, rotVect);
-
-        /* Calc rotation matrix by Rodrigues Transform */
-        cvRodrigues2( &rotVectDescr, &rotMatrDescr );
-
-        //combine the two transformations into one matrix
-        //order is important! rotations are not commutative
-        float tmat[4][4] = { { 1.f, 0.f, 0.f, 0.f },
-                             { 0.f, 1.f, 0.f, 0.f },
-                             { 0.f, 0.f, 1.f, 0.f },
-                             { transVect[0], transVect[1], transVect[2], 1.f } };
-        
-        float rmat[4][4] = { { rotMatr[0], rotMatr[1], rotMatr[2], 0.f },
-                             { rotMatr[3], rotMatr[4], rotMatr[5], 0.f },
-                             { rotMatr[6], rotMatr[7], rotMatr[8], 0.f },
-                             { 0.f, 0.f, 0.f, 1.f } };
-
-
-        MultMatrix(camera_info[c].mat, tmat, rmat);
-
-        // change the transformation of the cameras to put them in the world coordinate 
-        // system we want to work with.
-
-        // Start with an identity matrix; then fill in the values to accomplish
-        // the desired transformation.
-        float smat[4][4] = { { 1.f, 0.f, 0.f, 0.f },
-                             { 0.f, 1.f, 0.f, 0.f },
-                             { 0.f, 0.f, 1.f, 0.f },
-                             { 0.f, 0.f, 0.f, 1.f } };
-
-        // First, reflect through the origin by inverting all three axes.
-        smat[0][0] = -1.f;
-        smat[1][1] = -1.f;
-        smat[2][2] = -1.f;
-        MultMatrix(tmat, camera_info[c].mat, smat);
-
-        // Scale x and y coordinates by the focal length (allowing for non-square pixels
-        // and/or non-symmetrical lenses).
-        smat[0][0] = 1.0f / camera_intrinsics[c].focal_length[0];
-        smat[1][1] = 1.0f / camera_intrinsics[c].focal_length[1];
-        smat[2][2] = 1.0f;
-        MultMatrix(camera_info[c].mat, smat, tmat);
-
-        camera_info[c].principal_point = camera_intrinsics[c].principal_point;
-        camera_info[c].valid = true;
-
-        cameras_done++;
-    }
-
-exit:
-    cvReleaseImage(&gray_img);
-    cvReleaseImage(&tmp_img);
-    cvFree(&object_points);
-    cvFree(&points);
-
-    return cameras_done == num_cameras;
-}
-
-// fill in the real-world coordinates of the checkerboard points
-static void FillObjectPoints(CvPoint3D32f *obj_points, CvSize etalon_size, float square_size)
-{
-    int x, y, i;
-
-    for (y = 0, i = 0; y < etalon_size.height; y++)
-    {
-        for (x = 0; x < etalon_size.width; x++, i++)
-        {
-            obj_points[i].x = square_size * x;
-            obj_points[i].y = square_size * y;
-            obj_points[i].z = 0;
-        }
-    }
-}
-
-
-// Mark the points found on the input image
-// The marks are drawn multi-colored if all the points were found.
-static void DrawEtalon(IplImage *img, CvPoint2D32f *corners,
-                       int corner_count, CvSize etalon_size, int draw_ordered)
-{
-    const int r = 4;
-    int i;
-    int x, y;
-    CvPoint prev_pt = { 0, 0 };
-    static const CvScalar rgb_colors[] = {
-        {{0,0,255}},
-        {{0,128,255}},
-        {{0,200,200}},
-        {{0,255,0}},
-        {{200,200,0}},
-        {{255,0,0}},
-        {{255,0,255}} };
-    static const CvScalar gray_colors[] = {
-        {{80}}, {{120}}, {{160}}, {{200}}, {{100}}, {{140}}, {{180}}
-    };
-    const CvScalar* colors = img->nChannels == 3 ? rgb_colors : gray_colors;
-
-    CvScalar color = colors[0];
-    for (y = 0, i = 0; y < etalon_size.height; y++)
-    {
-        if (draw_ordered)
-            color = colors[y % ARRAY_SIZEOF(rgb_colors)];
-
-        for (x = 0; x < etalon_size.width && i < corner_count; x++, i++)
-        {
-            CvPoint pt;
-            pt.x = cvRound(corners[i].x);
-            pt.y = cvRound(corners[i].y);
-            if (img->origin == IPL_ORIGIN_BL)
-                pt.y = img->height - 1 - pt.y;
-
-            if (draw_ordered)
-            {
-                if (i != 0)
-                   cvLine(img, prev_pt, pt, color, 1, CV_AA);
-                prev_pt = pt;
-            }
-
-            cvLine( img, cvPoint(pt.x - r, pt.y - r),
-                    cvPoint(pt.x + r, pt.y + r), color, 1, CV_AA );
-            cvLine( img, cvPoint(pt.x - r, pt.y + r),
-                    cvPoint(pt.x + r, pt.y - r), color, 1, CV_AA );
-            cvCircle( img, pt, r+1, color, 1, CV_AA );
-        }
-    }
-}
-
-// Find the midpoint of the line segment between two points.
-static CvPoint3D32f midpoint(const CvPoint3D32f &p1, const CvPoint3D32f &p2)
-{
-    return cvPoint3D32f((p1.x+p2.x)/2, (p1.y+p2.y)/2, (p1.z+p2.z)/2);
-}
-
-static void operator +=(CvPoint3D32f &p1, const CvPoint3D32f &p2)
-{
-    p1.x += p2.x;
-    p1.y += p2.y;
-    p1.z += p2.z;
-}
-
-static CvPoint3D32f operator /(const CvPoint3D32f &p, int d)
-{
-    return cvPoint3D32f(p.x/d, p.y/d, p.z/d);
-}
-
-static const Cv3dTracker2dTrackedObject *find(const Cv3dTracker2dTrackedObject v[], int num_objects, int id)
-{
-    for (int i = 0; i < num_objects; i++)
-    {
-        if (v[i].id == id)
-            return &v[i];
-    }
-    return NULL;
-}
-
-#define CAMERA_POS(c) (cvPoint3D32f((c).mat[3][0], (c).mat[3][1], (c).mat[3][2]))
-
-//////////////////////////////
-// cv3dTrackerLocateObjects //
-//////////////////////////////
-CV_IMPL int  cv3dTrackerLocateObjects(int num_cameras, int num_objects,
-                 const Cv3dTrackerCameraInfo camera_info[],      // size is num_cameras
-                 const Cv3dTracker2dTrackedObject tracking_info[], // size is num_objects*num_cameras
-                 Cv3dTrackerTrackedObject tracked_objects[])     // size is num_objects
-{
-    /*CV_FUNCNAME("cv3dTrackerLocateObjects");*/
-    int found_objects = 0;
-
-    // count how many cameras could see each object
-    std::map<int, int> count;
-    for (int c = 0; c < num_cameras; c++)
-    {
-        if (!camera_info[c].valid)
-            continue;
-
-        for (int i = 0; i < num_objects; i++)
-        {
-            const Cv3dTracker2dTrackedObject *o = &tracking_info[c*num_objects+i];
-            if (o->id != -1)
-                count[o->id]++;
-        }
-    }
-
-    // process each object that was seen by at least two cameras
-    for (std::map<int, int>::iterator i = count.begin(); i != count.end(); i++)
-    {
-        if (i->second < 2)
-            continue; // ignore object seen by only one camera
-        int id = i->first;
-
-        // find an approximation of the objects location for each pair of cameras that
-        // could see this object, and average them
-        CvPoint3D32f total = cvPoint3D32f(0, 0, 0);
-        int weight = 0;
-
-        for (int c1 = 0; c1 < num_cameras-1; c1++)
-        {
-            if (!camera_info[c1].valid)
-                continue;
-
-            const Cv3dTracker2dTrackedObject *o1 = find(&tracking_info[c1*num_objects],
-                                                        num_objects, id);
-            if (o1 == NULL)
-                continue; // this camera didn't see this object
-
-            CvPoint3D32f p1a = CAMERA_POS(camera_info[c1]);
-            CvPoint3D32f p1b = ImageCStoWorldCS(camera_info[c1], o1->p);
-
-            for (int c2 = c1 + 1; c2 < num_cameras; c2++)
-            {
-                if (!camera_info[c2].valid)
-                    continue;
-
-                const Cv3dTracker2dTrackedObject *o2 = find(&tracking_info[c2*num_objects],
-                                                            num_objects, id);
-                if (o2 == NULL)
-                    continue; // this camera didn't see this object
-
-                CvPoint3D32f p2a = CAMERA_POS(camera_info[c2]);
-                CvPoint3D32f p2b = ImageCStoWorldCS(camera_info[c2], o2->p);
-
-                // these variables are initialized simply to avoid erroneous error messages
-                // from the compiler
-                CvPoint3D32f r1 = cvPoint3D32f(0, 0, 0);
-                CvPoint3D32f r2 = cvPoint3D32f(0, 0, 0);
-
-                // find the intersection of the two lines (or the points of closest
-                // approach, if they don't intersect)
-                if (!intersection(p1a, p1b, p2a, p2b, r1, r2))
-                    continue;
-
-                total += midpoint(r1, r2);
-                weight++;
-            }
-        }
-
-        CvPoint3D32f center = total/weight;
-        tracked_objects[found_objects++] = cv3dTrackerTrackedObject(id, center);
-    }
-
-    return found_objects;
-}
-
-#define EPS 1e-9
-
-// Compute the determinant of the 3x3 matrix represented by 3 row vectors.
-static inline double det(CvPoint3D32f v1, CvPoint3D32f v2, CvPoint3D32f v3)
-{
-    return v1.x*v2.y*v3.z + v1.z*v2.x*v3.y + v1.y*v2.z*v3.x
-           - v1.z*v2.y*v3.x - v1.x*v2.z*v3.y - v1.y*v2.x*v3.z;
-}
-
-static CvPoint3D32f operator +(CvPoint3D32f a, CvPoint3D32f b)
-{
-    return cvPoint3D32f(a.x + b.x, a.y + b.y, a.z + b.z);
-}
-
-static CvPoint3D32f operator -(CvPoint3D32f a, CvPoint3D32f b)
-{
-    return cvPoint3D32f(a.x - b.x, a.y - b.y, a.z - b.z);
-}
-
-static CvPoint3D32f operator *(CvPoint3D32f v, double f)
-{
-    return cvPoint3D32f(f*v.x, f*v.y, f*v.z);
-}
-
-
-// Find the intersection of two lines, or if they don't intersect,
-// the points of closest approach.
-// The lines are defined by (o1,p1) and (o2, p2).
-// If they intersect, r1 and r2 will be the same.
-// Returns false on error.
-static bool intersection(CvPoint3D32f o1, CvPoint3D32f p1,
-                         CvPoint3D32f o2, CvPoint3D32f p2,
-                         CvPoint3D32f &r1, CvPoint3D32f &r2)
-{
-    CvPoint3D32f x = o2 - o1;
-    CvPoint3D32f d1 = p1 - o1;
-    CvPoint3D32f d2 = p2 - o2;
-
-    CvPoint3D32f cross = cvPoint3D32f(d1.y*d2.z - d1.z*d2.y,
-                                      d1.z*d2.x - d1.x*d2.z,
-                                      d1.x*d2.y - d1.y*d2.x);
-    double den = cross.x*cross.x + cross.y*cross.y + cross.z*cross.z;
-
-    if (den < EPS)
-        return false;
-
-    double t1 = det(x, d2, cross) / den;
-    double t2 = det(x, d1, cross) / den;
-
-    r1 = o1 + d1 * t1;
-    r2 = o2 + d2 * t2;
-
-    return true;
-}
-
-// Convert from image to camera space by transforming point p in
-// the image plane by the camera matrix.
-static CvPoint3D32f ImageCStoWorldCS(const Cv3dTrackerCameraInfo &camera_info, CvPoint2D32f p)
-{
-    float tp[4];
-    tp[0] = (float)p.x - camera_info.principal_point.x;
-    tp[1] = (float)p.y - camera_info.principal_point.y;
-    tp[2] = 1.f;
-    tp[3] = 1.f;
-
-    float tr[4];
-    //multiply tp by mat to get tr
-    MultVectorMatrix(tr, tp, camera_info.mat);
-
-    return cvPoint3D32f(tr[0]/tr[3], tr[1]/tr[3], tr[2]/tr[3]);
-}
-
-// Multiply affine transformation m1 by the affine transformation m2 and
-// return the result in rm.
-static void MultMatrix(float rm[4][4], const float m1[4][4], const float m2[4][4])
-{
-    for (int i=0; i<=3; i++)
-        for (int j=0; j<=3; j++)
-        {
-            rm[i][j]= 0.0;
-            for (int k=0; k <= 3; k++)
-                rm[i][j] += m1[i][k]*m2[k][j];
-        }
-}
-
-// Multiply the vector v by the affine transformation matrix m and return the
-// result in rv.
-void MultVectorMatrix(float rv[4], const float v[4], const float m[4][4])
-{
-    for (int i=0; i<=3; i++)
-    {
-        rv[i] = 0.f;
-        for (int j=0;j<=3;j++)
-            rv[i] += v[j] * m[j][i];
-    }
-}