📄 cvconvhull.cpp
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#include "_cv.h"
static int
icvSklansky_32s( CvPoint** array, int start, int end, int* stack, int nsign, int sign2 )
{
int incr = end > start ? 1 : -1;
/* prepare first triangle */
int pprev = start, pcur = pprev + incr, pnext = pcur + incr;
int stacksize = 3;
if( start == end ||
(array[start]->x == array[end]->x &&
array[start]->y == array[end]->y) )
{
stack[0] = start;
return 1;
}
stack[0] = pprev;
stack[1] = pcur;
stack[2] = pnext;
end += incr; /* make end = afterend */
while( pnext != end )
{
/* check the angle p1,p2,p3 */
int cury = array[pcur]->y;
int nexty = array[pnext]->y;
int by = nexty - cury;
if( CV_SIGN(by) != nsign )
{
int ax = array[pcur]->x - array[pprev]->x;
int bx = array[pnext]->x - array[pcur]->x;
int ay = cury - array[pprev]->y;
int convexity = ay*bx - ax*by;/* if >0 then convex angle */
if( CV_SIGN(convexity) == sign2 && (ax != 0 || ay != 0) )
{
pprev = pcur;
pcur = pnext;
pnext += incr;
stack[stacksize] = pnext;
stacksize++;
}
else
{
if( pprev == start )
{
pcur = pnext;
stack[1] = pcur;
pnext += incr;
stack[2] = pnext;
}
else
{
stack[stacksize-2] = pnext;
pcur = pprev;
pprev = stack[stacksize-4];
stacksize--;
}
}
}
else
{
pnext += incr;
stack[stacksize-1] = pnext;
}
}
return --stacksize;
}
static int
icvSklansky_32f( CvPoint2D32f** array, int start, int end, int* stack, int nsign, int sign2 )
{
int incr = end > start ? 1 : -1;
/* prepare first triangle */
int pprev = start, pcur = pprev + incr, pnext = pcur + incr;
int stacksize = 3;
if( start == end ||
(array[start]->x == array[end]->x &&
array[start]->y == array[end]->y) )
{
stack[0] = start;
return 1;
}
stack[0] = pprev;
stack[1] = pcur;
stack[2] = pnext;
end += incr; /* make end = afterend */
while( pnext != end )
{
/* check the angle p1,p2,p3 */
float cury = array[pcur]->y;
float nexty = array[pnext]->y;
float by = nexty - cury;
if( CV_SIGN( by ) != nsign )
{
float ax = array[pcur]->x - array[pprev]->x;
float bx = array[pnext]->x - array[pcur]->x;
float ay = cury - array[pprev]->y;
float convexity = ay*bx - ax*by;/* if >0 then convex angle */
if( CV_SIGN( convexity ) == sign2 && (ax != 0 || ay != 0) )
{
pprev = pcur;
pcur = pnext;
pnext += incr;
stack[stacksize] = pnext;
stacksize++;
}
else
{
if( pprev == start )
{
pcur = pnext;
stack[1] = pcur;
pnext += incr;
stack[2] = pnext;
}
else
{
stack[stacksize-2] = pnext;
pcur = pprev;
pprev = stack[stacksize-4];
stacksize--;
}
}
}
else
{
pnext += incr;
stack[stacksize-1] = pnext;
}
}
return --stacksize;
}
typedef int (*sklansky_func)( CvPoint** points, int start, int end,
int* stack, int sign, int sign2 );
#define cmp_pts( pt1, pt2 ) \
((pt1)->x < (pt2)->x || (pt1)->x <= (pt2)->x && (pt1)->y < (pt2)->y)
static CV_IMPLEMENT_QSORT( icvSortPointsByPointers_32s, CvPoint*, cmp_pts )
static CV_IMPLEMENT_QSORT( icvSortPointsByPointers_32f, CvPoint2D32f*, cmp_pts )
static void
icvCalcAndWritePtIndices( CvPoint** pointer, int* stack, int start, int end,
CvSeq* ptseq, CvSeqWriter* writer )
{
CV_FUNCNAME( "icvCalcAndWritePtIndices" );
__BEGIN__;
int i, incr = start < end ? 1 : -1;
int idx, first_idx = ptseq->first->start_index;
for( i = start; i != end; i += incr )
{
CvPoint* ptr = (CvPoint*)pointer[stack[i]];
CvSeqBlock* block = ptseq->first;
while( (unsigned)(idx = (int)(ptr - (CvPoint*)block->data)) >= (unsigned)block->count )
{
block = block->next;
if( block == ptseq->first )
CV_ERROR( CV_StsError, "Internal error" );
}
idx += block->start_index - first_idx;
CV_WRITE_SEQ_ELEM( idx, *writer );
}
__END__;
}
CV_IMPL CvSeq*
cvConvexHull2( const CvArr* array, void* hull_storage,
int orientation, int return_points )
{
union { CvContour* c; CvSeq* s; } hull;
CvPoint** pointer = 0;
CvPoint2D32f** pointerf = 0;
int* stack = 0;
CV_FUNCNAME( "cvConvexHull2" );
hull.s = 0;
__BEGIN__;
CvMat* mat = 0;
CvSeqReader reader;
CvSeqWriter writer;
CvContour contour_header;
union { CvContour c; CvSeq s; } hull_header;
CvSeqBlock block, hullblock;
CvSeq* ptseq = 0;
CvSeq* hullseq = 0;
int is_float;
int* t_stack;
int t_count;
int i, miny_ind = 0, maxy_ind = 0, total;
int hulltype;
int stop_idx;
sklansky_func sklansky;
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
{
CV_CALL( ptseq = cvPointSeqFromMat(
CV_SEQ_KIND_GENERIC, array, &contour_header, &block ));
}
if( CV_IS_STORAGE( hull_storage ))
{
if( return_points )
{
CV_CALL( 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
{
CV_CALL( 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)" );
CV_CALL( hullseq = cvMakeSeqHeaderForArray(
CV_SEQ_KIND_CURVE|CV_MAT_TYPE(mat->type)|CV_SEQ_FLAG_CLOSED,
sizeof(contour_header), CV_ELEM_SIZE(mat->type), mat->data.ptr,
mat->cols + mat->rows - 1, &hull_header.s, &hullblock ));
cvClearSeq( hullseq );
}
total = ptseq->total;
if( total == 0 )
{
if( mat )
CV_ERROR( CV_StsBadSize,
"Point sequence can not be empty if the output is matrix" );
EXIT;
}
cvStartAppendToSeq( hullseq, &writer );
is_float = CV_SEQ_ELTYPE(ptseq) == CV_32FC2;
hulltype = CV_SEQ_ELTYPE(hullseq);
sklansky = !is_float ? (sklansky_func)icvSklansky_32s :
(sklansky_func)icvSklansky_32f;
CV_CALL( pointer = (CvPoint**)cvAlloc( ptseq->total*sizeof(pointer[0]) ));
CV_CALL( stack = (int*)cvAlloc( (ptseq->total + 2)*sizeof(stack[0]) ));
pointerf = (CvPoint2D32f**)pointer;
cvStartReadSeq( ptseq, &reader );
for( i = 0; i < total; i++ )
{
pointer[i] = (CvPoint*)reader.ptr;
CV_NEXT_SEQ_ELEM( ptseq->elem_size, reader );
}
// sort the point set by x-coordinate, find min and max y
if( !is_float )
{
icvSortPointsByPointers_32s( pointer, total, 0 );
for( i = 1; i < total; i++ )
{
int y = pointer[i]->y;
if( pointer[miny_ind]->y > y )
miny_ind = i;
if( pointer[maxy_ind]->y < y )
maxy_ind = i;
}
}
else
{
icvSortPointsByPointers_32f( pointerf, total, 0 );
for( i = 1; i < total; i++ )
{
float y = pointerf[i]->y;
if( pointerf[miny_ind]->y > y )
miny_ind = i;
if( pointerf[maxy_ind]->y < y )
maxy_ind = i;
}
}
if( pointer[0]->x == pointer[total-1]->x &&
pointer[0]->y == pointer[total-1]->y )
{
if( hulltype == CV_SEQ_ELTYPE_PPOINT )
{
CV_WRITE_SEQ_ELEM( pointer[0], writer );
}
else if( hulltype == CV_SEQ_ELTYPE_INDEX )
{
int index = 0;
CV_WRITE_SEQ_ELEM( index, writer );
}
else
{
CvPoint pt = pointer[0][0];
CV_WRITE_SEQ_ELEM( pt, writer );
}
goto finish_hull;
}
/*upper half */
{
int *tl_stack = stack;
int tl_count = sklansky( pointer, 0, maxy_ind, tl_stack, -1, 1 );
int *tr_stack = tl_stack + tl_count;
int tr_count = sklansky( pointer, ptseq->total - 1, maxy_ind, tr_stack, -1, -1 );
/* gather upper part of convex hull to output */
if( orientation == CV_COUNTER_CLOCKWISE )
{
CV_SWAP( tl_stack, tr_stack, t_stack );
CV_SWAP( tl_count, tr_count, t_count );
}
if( hulltype == CV_SEQ_ELTYPE_PPOINT )
{
for( i = 0; i < tl_count - 1; i++ )
CV_WRITE_SEQ_ELEM( pointer[tl_stack[i]], writer );
for( i = tr_count - 1; i > 0; i-- )
CV_WRITE_SEQ_ELEM( pointer[tr_stack[i]], writer );
}
else if( hulltype == CV_SEQ_ELTYPE_INDEX )
{
CV_CALL( icvCalcAndWritePtIndices( pointer, tl_stack,
0, tl_count-1, ptseq, &writer ));
CV_CALL( icvCalcAndWritePtIndices( pointer, tr_stack,
tr_count-1, 0, ptseq, &writer ));
}
else
{
for( i = 0; i < tl_count - 1; i++ )
CV_WRITE_SEQ_ELEM( pointer[tl_stack[i]][0], writer );
for( i = tr_count - 1; i > 0; i-- )
CV_WRITE_SEQ_ELEM( pointer[tr_stack[i]][0], writer );
}
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