/* calculates length of a curve (e.g. contour perimeter) */
CV_IMPL double
cvArcLength( const void *array, CvSlice slice, int is_closed )
{
double perimeter = 0;
int i, j = 0, count;
const int N = 16;
float buf[N];
CvMat buffer = cvMat( 1, N, CV_32F, buf );
CvSeqReader reader;
CvContour contour_header;
CvSeq* contour = 0;
CvSeqBlock block;
if( CV_IS_SEQ( array ))
{
contour = (CvSeq*)array;
if( !CV_IS_SEQ_POLYLINE( contour ))
CV_Error( CV_StsBadArg, "Unsupported sequence type" );
if( is_closed < 0 )
is_closed = CV_IS_SEQ_CLOSED( contour );
}
else
{
is_closed = is_closed > 0;
contour = cvPointSeqFromMat(
CV_SEQ_KIND_CURVE | (is_closed ? CV_SEQ_FLAG_CLOSED : 0),
array, &contour_header, &block );
}
if( contour->total > 1 )
{
int is_float = CV_SEQ_ELTYPE( contour ) == CV_32FC2;
cvStartReadSeq( contour, &reader, 0 );
cvSetSeqReaderPos( &reader, slice.start_index );
count = cvSliceLength( slice, contour );
count -= !is_closed && count == contour->total;
// scroll the reader by 1 point
reader.prev_elem = reader.ptr;
CV_NEXT_SEQ_ELEM( sizeof(CvPoint), reader );
for( i = 0; i < count; i++ )
{
float dx, dy;
if( !is_float )
{
CvPoint* pt = (CvPoint*)reader.ptr;
CvPoint* prev_pt = (CvPoint*)reader.prev_elem;
dx = (float)pt->x - (float)prev_pt->x;
dy = (float)pt->y - (float)prev_pt->y;
}
else
{
CvPoint2D32f* pt = (CvPoint2D32f*)reader.ptr;
CvPoint2D32f* prev_pt = (CvPoint2D32f*)reader.prev_elem;
dx = pt->x - prev_pt->x;
dy = pt->y - prev_pt->y;
}
reader.prev_elem = reader.ptr;
CV_NEXT_SEQ_ELEM( contour->elem_size, reader );
// Bugfix by Axel at rubico.com 2010-03-22, affects closed slices only
// wraparound not handled by CV_NEXT_SEQ_ELEM
if( is_closed && i == count - 2 )
cvSetSeqReaderPos( &reader, slice.start_index );
buffer.data.fl[j] = dx * dx + dy * dy;
if( ++j == N || i == count - 1 )
{
buffer.cols = j;
cvPow( &buffer, &buffer, 0.5 );
for( ; j > 0; j-- )
perimeter += buffer.data.fl[j-1];
}
}
}
return perimeter;
}
/* Calculates bounding rectagnle of a point set or retrieves already calculated */
CV_IMPL CvRect
cvBoundingRect( CvArr* array, int update )
{
CvSeqReader reader;
CvRect rect = { 0, 0, 0, 0 };
CvContour contour_header;
CvSeq* ptseq = 0;
CvSeqBlock block;
CV_FUNCNAME( "cvBoundingRect" );
__BEGIN__;
int calculate = update;
if( CV_IS_SEQ( array ))
{
ptseq = (CvSeq*)array;
if( !CV_IS_SEQ_POINT_SET( ptseq ))
CV_ERROR( CV_StsBadArg, "Unsupported sequence type" );
if( ptseq->header_size < (int)sizeof(CvContour))
{
if( update == 1 )
CV_ERROR( CV_StsBadArg, "The header is too small to fit the rectangle, "
"so it could not be updated" );
calculate = 1;
}
}
else
{
CV_CALL( ptseq = cvPointSeqFromMat(
CV_SEQ_KIND_GENERIC, array, &contour_header, &block ));
calculate = 1;
}
if( calculate )
{
if( ptseq->total )
{
int is_float = CV_SEQ_ELTYPE(ptseq) == CV_32FC2;
int xmin, ymin, xmax, ymax, i;
cvStartReadSeq( ptseq, &reader, 0 );
if( !is_float )
{
CvPoint pt;
/* init values */
CV_READ_SEQ_ELEM( pt, reader );
xmin = xmax = pt.x;
ymin = ymax = pt.y;
for( i = 1; i < ptseq->total; i++ )
{
CV_READ_SEQ_ELEM( pt, reader );
if( xmin > pt.x )
xmin = pt.x;
if( xmax < pt.x )
xmax = pt.x;
if( ymin > pt.y )
ymin = pt.y;
if( ymax < pt.y )
ymax = pt.y;
}
}
else
{
CvPoint pt;
/* init values */
CV_READ_SEQ_ELEM( pt, reader );
xmin = xmax = CV_TOGGLE_FLT(pt.x);
ymin = ymax = CV_TOGGLE_FLT(pt.y);
for( i = 1; i < ptseq->total; i++ )
{
CV_READ_SEQ_ELEM( pt, reader );
pt.x = CV_TOGGLE_FLT(pt.x);
pt.y = CV_TOGGLE_FLT(pt.y);
if( xmin > pt.x )
xmin = pt.x;
if( xmax < pt.x )
xmax = pt.x;
if( ymin > pt.y )
ymin = pt.y;
if( ymax < pt.y )
ymax = pt.y;
}
xmin = CV_TOGGLE_FLT(xmin);
ymin = CV_TOGGLE_FLT(ymin);
xmax = CV_TOGGLE_FLT(xmax);
ymax = CV_TOGGLE_FLT(ymax);
xmin = cvFloor( (float&)xmin );
ymin = cvFloor( (float&)ymin );
/* because right and bottom sides of
the bounding rectangle are not inclusive,
cvFloor is used here (instead of cvCeil) */
xmax = cvFloor( (float&)xmax );
ymax = cvFloor( (float&)ymax );
}
rect.x = xmin;
rect.y = ymin;
rect.width = xmax - xmin + 1;
rect.height = ymax - ymin + 1;
}
if( update )
((CvContour*)ptseq)->rect = rect;
}
else
{
rect = ((CvContour*)ptseq)->rect;
}
__END__;
return rect;
}
/* for now this function works bad with singular cases
You can see in the code, that when some troubles with
matrices or some variables occur -
box filled with zero values is returned.
However in general function works fine.
*/
static void
icvFitEllipse_F( CvSeq* points, CvBox2D* box )
{
CvMat* D = 0;
CV_FUNCNAME( "icvFitEllipse_F" );
__BEGIN__;
double S[36], C[36], T[36];
int i, j;
double eigenvalues[6], eigenvectors[36];
double a, b, c, d, e, f;
double x0, y0, idet, scale, offx = 0, offy = 0;
int n = points->total;
CvSeqReader reader;
int is_float = CV_SEQ_ELTYPE(points) == CV_32FC2;
CvMat _S = cvMat(6,6,CV_64F,S), _C = cvMat(6,6,CV_64F,C), _T = cvMat(6,6,CV_64F,T);
CvMat _EIGVECS = cvMat(6,6,CV_64F,eigenvectors), _EIGVALS = cvMat(6,1,CV_64F,eigenvalues);
/* create matrix D of input points */
CV_CALL( D = cvCreateMat( n, 6, CV_64F ));
cvStartReadSeq( points, &reader );
/* shift all points to zero */
for( i = 0; i < n; i++ )
{
if( !is_float )
{
offx += ((CvPoint*)reader.ptr)->x;
offy += ((CvPoint*)reader.ptr)->y;
}
else
{
offx += ((CvPoint2D32f*)reader.ptr)->x;
offy += ((CvPoint2D32f*)reader.ptr)->y;
}
CV_NEXT_SEQ_ELEM( points->elem_size, reader );
}
offx /= n;
offy /= n;
// fill matrix rows as (x*x, x*y, y*y, x, y, 1 )
for( i = 0; i < n; i++ )
{
double x, y;
double* Dptr = D->data.db + i*6;
if( !is_float )
{
x = ((CvPoint*)reader.ptr)->x - offx;
y = ((CvPoint*)reader.ptr)->y - offy;
}
else
{
x = ((CvPoint2D32f*)reader.ptr)->x - offx;
y = ((CvPoint2D32f*)reader.ptr)->y - offy;
}
CV_NEXT_SEQ_ELEM( points->elem_size, reader );
Dptr[0] = x * x;
Dptr[1] = x * y;
Dptr[2] = y * y;
Dptr[3] = x;
Dptr[4] = y;
Dptr[5] = 1.;
}
// S = D^t*D
cvMulTransposed( D, &_S, 1 );
cvSVD( &_S, &_EIGVALS, &_EIGVECS, 0, CV_SVD_MODIFY_A + CV_SVD_U_T );
for( i = 0; i < 6; i++ )
{
double a = eigenvalues[i];
a = a < DBL_EPSILON ? 0 : 1./sqrt(sqrt(a));
for( j = 0; j < 6; j++ )
eigenvectors[i*6 + j] *= a;
}
// C = Q^-1 = transp(INVEIGV) * INVEIGV
cvMulTransposed( &_EIGVECS, &_C, 1 );
cvZero( &_S );
S[2] = 2.;
S[7] = -1.;
S[12] = 2.;
// S = Q^-1*S*Q^-1
cvMatMul( &_C, &_S, &_T );
cvMatMul( &_T, &_C, &_S );
// and find its eigenvalues and vectors too
//cvSVD( &_S, &_EIGVALS, &_EIGVECS, 0, CV_SVD_MODIFY_A + CV_SVD_U_T );
cvEigenVV( &_S, &_EIGVECS, &_EIGVALS, 0 );
for( i = 0; i < 3; i++ )
if( eigenvalues[i] > 0 )
break;
if( i >= 3 /*eigenvalues[0] < DBL_EPSILON*/ )
{
box->center.x = box->center.y =
box->size.width = box->size.height =
box->angle = 0.f;
EXIT;
}
// now find truthful eigenvector
_EIGVECS = cvMat( 6, 1, CV_64F, eigenvectors + 6*i );
_T = cvMat( 6, 1, CV_64F, T );
// Q^-1*eigenvecs[0]
cvMatMul( &_C, &_EIGVECS, &_T );
// extract vector components
a = T[0]; b = T[1]; c = T[2]; d = T[3]; e = T[4]; f = T[5];
///////////////// extract ellipse axes from above values ////////////////
/*
1) find center of ellipse
it satisfy equation
| a b/2 | * | x0 | + | d/2 | = |0 |
| b/2 c | | y0 | | e/2 | |0 |
*/
idet = a * c - b * b * 0.25;
idet = idet > DBL_EPSILON ? 1./idet : 0;
// we must normalize (a b c d e f ) to fit (4ac-b^2=1)
scale = sqrt( 0.25 * idet );
if( scale < DBL_EPSILON )
{
box->center.x = (float)offx;
box->center.y = (float)offy;
box->size.width = box->size.height = box->angle = 0.f;
EXIT;
}
a *= scale;
b *= scale;
c *= scale;
d *= scale;
e *= scale;
f *= scale;
x0 = (-d * c + e * b * 0.5) * 2.;
y0 = (-a * e + d * b * 0.5) * 2.;
// recover center
box->center.x = (float)(x0 + offx);
box->center.y = (float)(y0 + offy);
// offset ellipse to (x0,y0)
// new f == F(x0,y0)
f += a * x0 * x0 + b * x0 * y0 + c * y0 * y0 + d * x0 + e * y0;
if( fabs(f) < DBL_EPSILON )
{
box->size.width = box->size.height = box->angle = 0.f;
EXIT;
}
scale = -1. / f;
// normalize to f = 1
a *= scale;
b *= scale;
c *= scale;
// extract axis of ellipse
// one more eigenvalue operation
S[0] = a;
S[1] = S[2] = b * 0.5;
S[3] = c;
_S = cvMat( 2, 2, CV_64F, S );
_EIGVECS = cvMat( 2, 2, CV_64F, eigenvectors );
_EIGVALS = cvMat( 1, 2, CV_64F, eigenvalues );
cvSVD( &_S, &_EIGVALS, &_EIGVECS, 0, CV_SVD_MODIFY_A + CV_SVD_U_T );
// exteract axis length from eigenvectors
box->size.width = (float)(2./sqrt(eigenvalues[0]));
box->size.height = (float)(2./sqrt(eigenvalues[1]));
// calc angle
box->angle = (float)(180 - atan2(eigenvectors[2], eigenvectors[3])*180/CV_PI);
__END__;
cvReleaseMat( &D );
}
CV_IMPL CvBox2D
cvFitEllipse2( const CvArr* array )
{
CvBox2D box;
double* Ad = 0, *bd = 0;
CV_FUNCNAME( "cvFitEllipse2" );
memset( &box, 0, sizeof(box));
__BEGIN__;
CvContour contour_header;
CvSeq* ptseq = 0;
CvSeqBlock block;
int n;
if( CV_IS_SEQ( array ))
{
ptseq = (CvSeq*)array;
if( !CV_IS_SEQ_POINT_SET( ptseq ))
CV_ERROR( CV_StsBadArg, "Unsupported sequence type" );
}
else
{
CV_CALL( ptseq = cvPointSeqFromMat(
CV_SEQ_KIND_GENERIC, array, &contour_header, &block ));
}
n = ptseq->total;
if( n < 5 )
CV_ERROR( CV_StsBadSize, "Number of points should be >= 6" );
#if 1
icvFitEllipse_F( ptseq, &box );
#else
/*
* New fitellipse algorithm, contributed by Dr. Daniel Weiss
*/
{
double gfp[5], rp[5], t;
CvMat A, b, x;
const double min_eps = 1e-6;
int i, is_float;
CvSeqReader reader;
CV_CALL( Ad = (double*)cvAlloc( n*5*sizeof(Ad[0]) ));
CV_CALL( bd = (double*)cvAlloc( n*sizeof(bd[0]) ));
// first fit for parameters A - E
A = cvMat( n, 5, CV_64F, Ad );
b = cvMat( n, 1, CV_64F, bd );
x = cvMat( 5, 1, CV_64F, gfp );
cvStartReadSeq( ptseq, &reader );
is_float = CV_SEQ_ELTYPE(ptseq) == CV_32FC2;
for( i = 0; i < n; i++ )
{
CvPoint2D32f p;
if( is_float )
p = *(CvPoint2D32f*)(reader.ptr);
else
{
p.x = (float)((int*)reader.ptr)[0];
p.y = (float)((int*)reader.ptr)[1];
}
CV_NEXT_SEQ_ELEM( sizeof(p), reader );
bd[i] = 10000.0; // 1.0?
Ad[i*5] = -(double)p.x * p.x; // A - C signs inverted as proposed by APP
Ad[i*5 + 1] = -(double)p.y * p.y;
Ad[i*5 + 2] = -(double)p.x * p.y;
Ad[i*5 + 3] = p.x;
Ad[i*5 + 4] = p.y;
}
cvSolve( &A, &b, &x, CV_SVD );
// now use general-form parameters A - E to find the ellipse center:
// differentiate general form wrt x/y to get two equations for cx and cy
A = cvMat( 2, 2, CV_64F, Ad );
b = cvMat( 2, 1, CV_64F, bd );
x = cvMat( 2, 1, CV_64F, rp );
Ad[0] = 2 * gfp[0];
Ad[1] = Ad[2] = gfp[2];
Ad[3] = 2 * gfp[1];
bd[0] = gfp[3];
bd[1] = gfp[4];
cvSolve( &A, &b, &x, CV_SVD );
// re-fit for parameters A - C with those center coordinates
A = cvMat( n, 3, CV_64F, Ad );
b = cvMat( n, 1, CV_64F, bd );
x = cvMat( 3, 1, CV_64F, gfp );
for( i = 0; i < n; i++ )
{
CvPoint2D32f p;
if( is_float )
p = *(CvPoint2D32f*)(reader.ptr);
else
{
p.x = (float)((int*)reader.ptr)[0];
p.y = (float)((int*)reader.ptr)[1];
}
CV_NEXT_SEQ_ELEM( sizeof(p), reader );
bd[i] = 1.0;
Ad[i * 3] = (p.x - rp[0]) * (p.x - rp[0]);
Ad[i * 3 + 1] = (p.y - rp[1]) * (p.y - rp[1]);
Ad[i * 3 + 2] = (p.x - rp[0]) * (p.y - rp[1]);
}
cvSolve(&A, &b, &x, CV_SVD);
// store angle and radii
rp[4] = -0.5 * atan2(gfp[2], gfp[1] - gfp[0]); // convert from APP angle usage
t = sin(-2.0 * rp[4]);
if( fabs(t) > fabs(gfp[2])*min_eps )
t = gfp[2]/t;
else
t = gfp[1] - gfp[0];
rp[2] = fabs(gfp[0] + gfp[1] - t);
if( rp[2] > min_eps )
rp[2] = sqrt(2.0 / rp[2]);
rp[3] = fabs(gfp[0] + gfp[1] + t);
if( rp[3] > min_eps )
rp[3] = sqrt(2.0 / rp[3]);
box.center.x = (float)rp[0];
box.center.y = (float)rp[1];
box.size.width = (float)(rp[2]*2);
box.size.height = (float)(rp[3]*2);
if( box.size.width > box.size.height )
{
float tmp;
CV_SWAP( box.size.width, box.size.height, tmp );
box.angle = (float)(90 + rp[4]*180/CV_PI);
}
if( box.angle < -180 )
box.angle += 360;
if( box.angle > 360 )
box.angle -= 360;
}
#endif
__END__;
cvFree( &Ad );
cvFree( &bd );
return box;
}
CV_IMPL int
cvMinEnclosingCircle( const void* array, CvPoint2D32f * _center, float *_radius )
{
const int max_iters = 100;
const float eps = FLT_EPSILON*2;
CvPoint2D32f center = { 0, 0 };
float radius = 0;
int result = 0;
if( _center )
_center->x = _center->y = 0.f;
if( _radius )
*_radius = 0;
CV_FUNCNAME( "cvMinEnclosingCircle" );
__BEGIN__;
CvSeqReader reader;
int i, k, count;
CvPoint2D32f pts[8];
CvContour contour_header;
CvSeqBlock block;
CvSeq* sequence = 0;
int is_float;
if( !_center || !_radius )
CV_ERROR( CV_StsNullPtr, "Null center or radius pointers" );
if( CV_IS_SEQ(array) )
{
sequence = (CvSeq*)array;
if( !CV_IS_SEQ_POINT_SET( sequence ))
CV_ERROR( CV_StsBadArg, "The passed sequence is not a valid contour" );
}
else
{
CV_CALL( sequence = cvPointSeqFromMat(
CV_SEQ_KIND_GENERIC, array, &contour_header, &block ));
}
if( sequence->total <= 0 )
CV_ERROR_FROM_STATUS( CV_BADSIZE_ERR );
CV_CALL( cvStartReadSeq( sequence, &reader, 0 ));
count = sequence->total;
is_float = CV_SEQ_ELTYPE(sequence) == CV_32FC2;
if( !is_float )
{
CvPoint *pt_left, *pt_right, *pt_top, *pt_bottom;
CvPoint pt;
pt_left = pt_right = pt_top = pt_bottom = (CvPoint *)(reader.ptr);
CV_READ_SEQ_ELEM( pt, reader );
for( i = 1; i < count; i++ )
{
CvPoint* pt_ptr = (CvPoint*)reader.ptr;
CV_READ_SEQ_ELEM( pt, reader );
if( pt.x < pt_left->x )
pt_left = pt_ptr;
if( pt.x > pt_right->x )
pt_right = pt_ptr;
if( pt.y < pt_top->y )
pt_top = pt_ptr;
if( pt.y > pt_bottom->y )
pt_bottom = pt_ptr;
}
pts[0] = cvPointTo32f( *pt_left );
pts[1] = cvPointTo32f( *pt_right );
pts[2] = cvPointTo32f( *pt_top );
pts[3] = cvPointTo32f( *pt_bottom );
}
else
{
CvPoint2D32f *pt_left, *pt_right, *pt_top, *pt_bottom;
CvPoint2D32f pt;
pt_left = pt_right = pt_top = pt_bottom = (CvPoint2D32f *) (reader.ptr);
CV_READ_SEQ_ELEM( pt, reader );
for( i = 1; i < count; i++ )
{
CvPoint2D32f* pt_ptr = (CvPoint2D32f*)reader.ptr;
CV_READ_SEQ_ELEM( pt, reader );
if( pt.x < pt_left->x )
pt_left = pt_ptr;
if( pt.x > pt_right->x )
pt_right = pt_ptr;
if( pt.y < pt_top->y )
pt_top = pt_ptr;
if( pt.y > pt_bottom->y )
pt_bottom = pt_ptr;
}
pts[0] = *pt_left;
pts[1] = *pt_right;
pts[2] = *pt_top;
pts[3] = *pt_bottom;
}
for( k = 0; k < max_iters; k++ )
{
double min_delta = 0, delta;
CvPoint2D32f ptfl;
icvFindEnslosingCicle4pts_32f( pts, ¢er, &radius );
cvStartReadSeq( sequence, &reader, 0 );
for( i = 0; i < count; i++ )
{
if( !is_float )
{
ptfl.x = (float)((CvPoint*)reader.ptr)->x;
ptfl.y = (float)((CvPoint*)reader.ptr)->y;
}
else
{
ptfl = *(CvPoint2D32f*)reader.ptr;
}
CV_NEXT_SEQ_ELEM( sequence->elem_size, reader );
delta = icvIsPtInCircle( ptfl, center, radius );
if( delta < min_delta )
{
min_delta = delta;
pts[3] = ptfl;
}
}
result = min_delta >= 0;
if( result )
break;
}
if( !result )
{
cvStartReadSeq( sequence, &reader, 0 );
radius = 0.f;
for( i = 0; i < count; i++ )
{
CvPoint2D32f ptfl;
float t, dx, dy;
if( !is_float )
{
ptfl.x = (float)((CvPoint*)reader.ptr)->x;
ptfl.y = (float)((CvPoint*)reader.ptr)->y;
}
else
{
ptfl = *(CvPoint2D32f*)reader.ptr;
}
CV_NEXT_SEQ_ELEM( sequence->elem_size, reader );
dx = center.x - ptfl.x;
dy = center.y - ptfl.y;
t = dx*dx + dy*dy;
radius = MAX(radius,t);
}
radius = (float)(sqrt(radius)*(1 + eps));
result = 1;
}
__END__;
*_center = center;
*_radius = radius;
return result;
}
/* Calculates bounding rectagnle of a point set or retrieves already calculated */
CV_IMPL CvRect
cvBoundingRect( CvArr* array, int update )
{
CvSeqReader reader;
CvRect rect = { 0, 0, 0, 0 };
CvContour contour_header;
CvSeq* ptseq = 0;
CvSeqBlock block;
CV_FUNCNAME( "cvBoundingRect" );
__BEGIN__;
CvMat stub, *mat = 0;
int xmin = 0, ymin = 0, xmax = -1, ymax = -1, i, j, k;
int calculate = update;
if( CV_IS_SEQ( array ))
{
ptseq = (CvSeq*)array;
if( !CV_IS_SEQ_POINT_SET( ptseq ))
CV_ERROR( CV_StsBadArg, "Unsupported sequence type" );
if( ptseq->header_size < (int)sizeof(CvContour))
{
/*if( update == 1 )
CV_ERROR( CV_StsBadArg, "The header is too small to fit the rectangle, "
"so it could not be updated" );*/
update = 0;
calculate = 1;
}
}
else
{
CV_CALL( mat = cvGetMat( array, &stub ));
if( CV_MAT_TYPE(mat->type) == CV_32SC2 ||
CV_MAT_TYPE(mat->type) == CV_32FC2 )
{
CV_CALL( ptseq = cvPointSeqFromMat(
CV_SEQ_KIND_GENERIC, mat, &contour_header, &block ));
mat = 0;
}
else if( CV_MAT_TYPE(mat->type) != CV_8UC1 &&
CV_MAT_TYPE(mat->type) != CV_8SC1 )
CV_ERROR( CV_StsUnsupportedFormat,
"The image/matrix format is not supported by the function" );
update = 0;
calculate = 1;
}
if( !calculate )
{
rect = ((CvContour*)ptseq)->rect;
EXIT;
}
if( mat )
{
CvSize size = cvGetMatSize(mat);
xmin = size.width;
ymin = -1;
for( i = 0; i < size.height; i++ )
{
uchar* _ptr = mat->data.ptr + i*mat->step;
uchar* ptr = (uchar*)cvAlignPtr(_ptr, 4);
int have_nz = 0, k_min, offset = (int)(ptr - _ptr);
j = 0;
offset = MIN(offset, size.width);
for( ; j < offset; j++ )
if( _ptr[j] )
{
have_nz = 1;
break;
}
if( j < offset )
{
if( j < xmin )
xmin = j;
if( j > xmax )
xmax = j;
}
if( offset < size.width )
{
xmin -= offset;
xmax -= offset;
size.width -= offset;
j = 0;
for( ; j <= xmin - 4; j += 4 )
if( *((int*)(ptr+j)) )
break;
for( ; j < xmin; j++ )
if( ptr[j] )
{
xmin = j;
if( j > xmax )
xmax = j;
have_nz = 1;
break;
}
k_min = MAX(j-1, xmax);
k = size.width - 1;
for( ; k > k_min && (k&3) != 3; k-- )
if( ptr[k] )
break;
if( k > k_min && (k&3) == 3 )
{
for( ; k > k_min+3; k -= 4 )
if( *((int*)(ptr+k-3)) )
break;
}
for( ; k > k_min; k-- )
if( ptr[k] )
{
xmax = k;
have_nz = 1;
break;
}
if( !have_nz )
{
j &= ~3;
for( ; j <= k - 3; j += 4 )
if( *((int*)(ptr+j)) )
break;
for( ; j <= k; j++ )
if( ptr[j] )
{
have_nz = 1;
break;
}
}
xmin += offset;
xmax += offset;
size.width += offset;
}
if( have_nz )
{
if( ymin < 0 )
ymin = i;
ymax = i;
}
}
if( xmin >= size.width )
xmin = ymin = 0;
}
else if( ptseq->total )
{
int is_float = CV_SEQ_ELTYPE(ptseq) == CV_32FC2;
cvStartReadSeq( ptseq, &reader, 0 );
if( !is_float )
{
CvPoint pt;
/* init values */
CV_READ_SEQ_ELEM( pt, reader );
xmin = xmax = pt.x;
ymin = ymax = pt.y;
for( i = 1; i < ptseq->total; i++ )
{
CV_READ_SEQ_ELEM( pt, reader );
if( xmin > pt.x )
xmin = pt.x;
if( xmax < pt.x )
xmax = pt.x;
if( ymin > pt.y )
ymin = pt.y;
if( ymax < pt.y )
ymax = pt.y;
}
}
else
{
CvPoint pt;
Cv32suf v;
/* init values */
CV_READ_SEQ_ELEM( pt, reader );
xmin = xmax = CV_TOGGLE_FLT(pt.x);
ymin = ymax = CV_TOGGLE_FLT(pt.y);
for( i = 1; i < ptseq->total; i++ )
{
CV_READ_SEQ_ELEM( pt, reader );
pt.x = CV_TOGGLE_FLT(pt.x);
pt.y = CV_TOGGLE_FLT(pt.y);
if( xmin > pt.x )
xmin = pt.x;
if( xmax < pt.x )
xmax = pt.x;
if( ymin > pt.y )
ymin = pt.y;
if( ymax < pt.y )
ymax = pt.y;
}
v.i = CV_TOGGLE_FLT(xmin); xmin = cvFloor(v.f);
v.i = CV_TOGGLE_FLT(ymin); ymin = cvFloor(v.f);
/* because right and bottom sides of
the bounding rectangle are not inclusive
(note +1 in width and height calculation below),
cvFloor is used here instead of cvCeil */
v.i = CV_TOGGLE_FLT(xmax); xmax = cvFloor(v.f);
v.i = CV_TOGGLE_FLT(ymax); ymax = cvFloor(v.f);
}
}
rect.x = xmin;
rect.y = ymin;
rect.width = xmax - xmin + 1;
rect.height = ymax - ymin + 1;
if( update )
((CvContour*)ptseq)->rect = rect;
__END__;
return rect;
}
/* it must have more than 3 points */
CV_IMPL CvSeq* cvConvexityDefects( const CvArr* array,
const CvArr* hullarray,
CvMemStorage* storage )
{
CvSeq* defects = 0;
int i, index;
CvPoint* hull_cur;
/* is orientation of hull different from contour one */
int rev_orientation;
CvContour contour_header;
CvSeq hull_header;
CvSeqBlock block, hullblock;
CvSeq *ptseq = (CvSeq*)array, *hull = (CvSeq*)hullarray;
CvSeqReader hull_reader;
CvSeqReader ptseq_reader;
CvSeqWriter writer;
int is_index;
if( CV_IS_SEQ( ptseq ))
{
if( !CV_IS_SEQ_POINT_SET( ptseq ))
CV_Error( CV_StsUnsupportedFormat,
"Input sequence is not a sequence of points" );
if( !storage )
storage = ptseq->storage;
}
else
{
ptseq = cvPointSeqFromMat( CV_SEQ_KIND_GENERIC, array, &contour_header, &block );
}
if( CV_SEQ_ELTYPE( ptseq ) != CV_32SC2 )
CV_Error( CV_StsUnsupportedFormat, "Floating-point coordinates are not supported here" );
if( CV_IS_SEQ( hull ))
{
int hulltype = CV_SEQ_ELTYPE( hull );
if( hulltype != CV_SEQ_ELTYPE_PPOINT && hulltype != CV_SEQ_ELTYPE_INDEX )
CV_Error( CV_StsUnsupportedFormat,
"Convex hull must represented as a sequence "
"of indices or sequence of pointers" );
if( !storage )
storage = hull->storage;
}
else
{
CvMat* mat = (CvMat*)hull;
if( !CV_IS_MAT( hull ))
CV_Error(CV_StsBadArg, "Convex hull is neither sequence nor matrix");
if( (mat->cols != 1 && mat->rows != 1) ||
!CV_IS_MAT_CONT(mat->type) || CV_MAT_TYPE(mat->type) != CV_32SC1 )
CV_Error( CV_StsBadArg,
"The matrix should be 1-dimensional and continuous array of int's" );
if( mat->cols + mat->rows - 1 > ptseq->total )
CV_Error( CV_StsBadSize, "Convex hull is larger than the point sequence" );
hull = cvMakeSeqHeaderForArray(
CV_SEQ_KIND_CURVE|CV_MAT_TYPE(mat->type)|CV_SEQ_FLAG_CLOSED,
sizeof(CvContour), CV_ELEM_SIZE(mat->type), mat->data.ptr,
mat->cols + mat->rows - 1, &hull_header, &hullblock );
}
is_index = CV_SEQ_ELTYPE(hull) == CV_SEQ_ELTYPE_INDEX;
if( !storage )
CV_Error( CV_StsNullPtr, "NULL storage pointer" );
defects = cvCreateSeq( CV_SEQ_KIND_GENERIC, sizeof(CvSeq), sizeof(CvConvexityDefect), storage );
if( ptseq->total < 4 || hull->total < 3)
{
//CV_ERROR( CV_StsBadSize,
// "point seq size must be >= 4, convex hull size must be >= 3" );
return defects;
}
/* recognize co-orientation of ptseq and its hull */
{
int sign = 0;
int index1, index2, index3;
if( !is_index )
{
CvPoint* pos = *CV_SEQ_ELEM( hull, CvPoint*, 0 );
index1 = cvSeqElemIdx( ptseq, pos );
pos = *CV_SEQ_ELEM( hull, CvPoint*, 1 );
index2 = cvSeqElemIdx( ptseq, pos );
pos = *CV_SEQ_ELEM( hull, CvPoint*, 2 );
index3 = cvSeqElemIdx( ptseq, pos );
}
else
{
CV_IMPL CvSeq*
cvConvexHull2( const CvArr* array, void* hull_storage,
int orientation, int return_points )
{
union { CvContour* c; CvSeq* s; } hull;
hull.s = 0;
CvMat* mat = 0;
CvContour contour_header;
CvSeq hull_header;
CvSeqBlock block, hullblock;
CvSeq* ptseq = 0;
CvSeq* hullseq = 0;
if( CV_IS_SEQ( array ))
{
ptseq = (CvSeq*)array;
if( !CV_IS_SEQ_POINT_SET( ptseq ))
CV_Error( CV_StsBadArg, "Unsupported sequence type" );
if( hull_storage == 0 )
hull_storage = ptseq->storage;
}
else
{
ptseq = cvPointSeqFromMat( CV_SEQ_KIND_GENERIC, array, &contour_header, &block );
}
if( CV_IS_STORAGE( hull_storage ))
{
if( return_points )
{
hullseq = cvCreateSeq(CV_SEQ_KIND_CURVE|CV_SEQ_ELTYPE(ptseq)|
CV_SEQ_FLAG_CLOSED|CV_SEQ_FLAG_CONVEX,
sizeof(CvContour), sizeof(CvPoint),(CvMemStorage*)hull_storage );
}
else
{
hullseq = cvCreateSeq(
CV_SEQ_KIND_CURVE|CV_SEQ_ELTYPE_PPOINT|
CV_SEQ_FLAG_CLOSED|CV_SEQ_FLAG_CONVEX,
sizeof(CvContour), sizeof(CvPoint*), (CvMemStorage*)hull_storage );
}
}
else
{
if( !CV_IS_MAT( hull_storage ))
CV_Error(CV_StsBadArg, "Destination must be valid memory storage or matrix");
mat = (CvMat*)hull_storage;
if( (mat->cols != 1 && mat->rows != 1) || !CV_IS_MAT_CONT(mat->type))
CV_Error( CV_StsBadArg,
"The hull matrix should be continuous and have a single row or a single column" );
if( mat->cols + mat->rows - 1 < ptseq->total )
CV_Error( CV_StsBadSize, "The hull matrix size might be not enough to fit the hull" );
if( CV_MAT_TYPE(mat->type) != CV_SEQ_ELTYPE(ptseq) &&
CV_MAT_TYPE(mat->type) != CV_32SC1 )
CV_Error( CV_StsUnsupportedFormat,
"The hull matrix must have the same type as input or 32sC1 (integers)" );
hullseq = cvMakeSeqHeaderForArray(
CV_SEQ_KIND_CURVE|CV_MAT_TYPE(mat->type)|CV_SEQ_FLAG_CLOSED,
sizeof(hull_header), CV_ELEM_SIZE(mat->type), mat->data.ptr,
mat->cols + mat->rows - 1, &hull_header, &hullblock );
cvClearSeq( hullseq );
}
int hulltype = CV_SEQ_ELTYPE(hullseq);
int total = ptseq->total;
if( total == 0 )
{
if( mat )
CV_Error( CV_StsBadSize,
"Point sequence can not be empty if the output is matrix" );
return hull.s;
}
cv::AutoBuffer<double> _ptbuf;
cv::Mat h0;
cv::convexHull(cv::cvarrToMat(ptseq, false, false, 0, &_ptbuf), h0,
orientation == CV_CLOCKWISE, CV_MAT_CN(hulltype) == 2);
if( hulltype == CV_SEQ_ELTYPE_PPOINT )
{
const int* idx = h0.ptr<int>();
int ctotal = (int)h0.total();
for( int i = 0; i < ctotal; i++ )
{
void* ptr = cvGetSeqElem(ptseq, idx[i]);
cvSeqPush( hullseq, &ptr );
}
}
else
cvSeqPushMulti(hullseq, h0.ptr(), (int)h0.total());
if( mat )
{
if( mat->rows > mat->cols )
mat->rows = hullseq->total;
else
mat->cols = hullseq->total;
}
else
{
hull.s = hullseq;
hull.c->rect = cvBoundingRect( ptseq,
ptseq->header_size < (int)sizeof(CvContour) ||
&ptseq->flags == &contour_header.flags );
}
return hull.s;
}
static void icvContourMoments( CvSeq* contour, CvMoments* mom )
{
if( contour->total )
{
CvSeqReader reader;
int lpt = contour->total;
double a00, a10, a01, a20, a11, a02, a30, a21, a12, a03;
cvStartReadSeq( contour, &reader, 0 );
size_t reader_size = lpt << 1;
cv::Mat reader_mat(1,reader_size,CV_32FC1);
bool is_float = CV_SEQ_ELTYPE(contour) == CV_32FC2;
if (!cv::ocl::Context::getContext()->supportsFeature(Context::CL_DOUBLE) && is_float)
{
CV_Error(CV_StsUnsupportedFormat, "Moments - double is not supported by your GPU!");
}
if( is_float )
{
for(size_t i = 0; i < reader_size; ++i)
{
reader_mat.at<float>(0, i++) = ((CvPoint2D32f*)(reader.ptr))->x;
reader_mat.at<float>(0, i) = ((CvPoint2D32f*)(reader.ptr))->y;
CV_NEXT_SEQ_ELEM( contour->elem_size, reader );
}
}
else
{
for(size_t i = 0; i < reader_size; ++i)
{
reader_mat.at<float>(0, i++) = ((CvPoint*)(reader.ptr))->x;
reader_mat.at<float>(0, i) = ((CvPoint*)(reader.ptr))->y;
CV_NEXT_SEQ_ELEM( contour->elem_size, reader );
}
}
cv::ocl::oclMat dst_a(10, lpt, CV_64FC1);
cv::ocl::oclMat reader_oclmat(reader_mat);
int llength = std::min(lpt,128);
size_t localThreads[3] = { llength, 1, 1};
size_t globalThreads[3] = { lpt, 1, 1};
std::vector<std::pair<size_t , const void *> > args;
args.push_back( std::make_pair( sizeof(cl_int) , (void *)&contour->total ));
args.push_back( std::make_pair( sizeof(cl_mem) , (void *)&reader_oclmat.data ));
args.push_back( std::make_pair( sizeof(cl_mem) , (void *)&dst_a.data ));
cl_int dst_step = (cl_int)dst_a.step;
args.push_back( std::make_pair( sizeof(cl_int) , (void *)&dst_step ));
openCLExecuteKernel(dst_a.clCxt, &moments, "icvContourMoments", globalThreads, localThreads, args, -1, -1);
cv::Mat dst(dst_a);
a00 = a10 = a01 = a20 = a11 = a02 = a30 = a21 = a12 = a03 = 0.0;
if (!cv::ocl::Context::getContext()->supportsFeature(Context::CL_DOUBLE))
{
for (int i = 0; i < contour->total; ++i)
{
a00 += dst.at<cl_long>(0, i);
a10 += dst.at<cl_long>(1, i);
a01 += dst.at<cl_long>(2, i);
a20 += dst.at<cl_long>(3, i);
a11 += dst.at<cl_long>(4, i);
a02 += dst.at<cl_long>(5, i);
a30 += dst.at<cl_long>(6, i);
a21 += dst.at<cl_long>(7, i);
a12 += dst.at<cl_long>(8, i);
a03 += dst.at<cl_long>(9, i);
}
}
else
{
a00 = cv::sum(dst.row(0))[0];
a10 = cv::sum(dst.row(1))[0];
a01 = cv::sum(dst.row(2))[0];
a20 = cv::sum(dst.row(3))[0];
a11 = cv::sum(dst.row(4))[0];
a02 = cv::sum(dst.row(5))[0];
a30 = cv::sum(dst.row(6))[0];
a21 = cv::sum(dst.row(7))[0];
a12 = cv::sum(dst.row(8))[0];
a03 = cv::sum(dst.row(9))[0];
}
double db1_2, db1_6, db1_12, db1_24, db1_20, db1_60;
if( fabs(a00) > FLT_EPSILON )
{
if( a00 > 0 )
{
db1_2 = 0.5;
db1_6 = 0.16666666666666666666666666666667;
db1_12 = 0.083333333333333333333333333333333;
db1_24 = 0.041666666666666666666666666666667;
db1_20 = 0.05;
db1_60 = 0.016666666666666666666666666666667;
}
else
{
db1_2 = -0.5;
db1_6 = -0.16666666666666666666666666666667;
db1_12 = -0.083333333333333333333333333333333;
db1_24 = -0.041666666666666666666666666666667;
db1_20 = -0.05;
db1_60 = -0.016666666666666666666666666666667;
}
// spatial moments
mom->m00 = a00 * db1_2;
mom->m10 = a10 * db1_6;
mom->m01 = a01 * db1_6;
mom->m20 = a20 * db1_12;
mom->m11 = a11 * db1_24;
mom->m02 = a02 * db1_12;
mom->m30 = a30 * db1_20;
mom->m21 = a21 * db1_60;
mom->m12 = a12 * db1_60;
mom->m03 = a03 * db1_20;
icvCompleteMomentState( mom );
}
}
}
