#include "allheaders.h"
/* For more than this number of c.c. in a binarized image of
* semi-perimeter (w + h) about 5000 or less, the O(n) binsort
* is faster than the O(nlogn) shellsort. */
static const l_int32 MinCompsForBinSort = 200;
/*---------------------------------------------------------------------*
* Boxa/Box transform (shift, scale) and orthogonal rotation *
*---------------------------------------------------------------------*/
/*!
* \brief boxaTransform()
*
* \param[in] boxas
* \param[in] shiftx
* \param[in] shifty
* \param[in] scalex
* \param[in] scaley
* \return boxad, or NULL on error
*
*
* Notes:
* (1) This is a very simple function that first shifts, then scales.
* (2) The UL corner coordinates of all boxes in the output %boxad
* (3) For the boxes in the output %boxad, the UL corner coordinates
* must be non-negative, and the width and height of valid
* boxes must be at least 1.
*
*/
BOXA *
boxaTransform(BOXA *boxas,
l_int32 shiftx,
l_int32 shifty,
l_float32 scalex,
l_float32 scaley)
{
l_int32 i, n;
BOX *boxs, *boxd;
BOXA *boxad;
PROCNAME("boxaTransform");
if (!boxas)
return (BOXA *)ERROR_PTR("boxas not defined", procName, NULL);
n = boxaGetCount(boxas);
if ((boxad = boxaCreate(n)) == NULL)
return (BOXA *)ERROR_PTR("boxad not made", procName, NULL);
for (i = 0; i < n; i++) {
if ((boxs = boxaGetBox(boxas, i, L_CLONE)) == NULL) {
boxaDestroy(&boxad);
return (BOXA *)ERROR_PTR("boxs not found", procName, NULL);
}
boxd = boxTransform(boxs, shiftx, shifty, scalex, scaley);
boxDestroy(&boxs);
boxaAddBox(boxad, boxd, L_INSERT);
}
return boxad;
}
/*!
* \brief boxTransform()
*
* \param[in] box
* \param[in] shiftx
* \param[in] shifty
* \param[in] scalex
* \param[in] scaley
* \return boxd, or NULL on error
*
*
* Notes:
* (1) This is a very simple function that first shifts, then scales.
* (2) If the box is invalid, a new invalid box is returned.
* (3) The UL corner coordinates must be non-negative, and the
* width and height of valid boxes must be at least 1.
*
*/
BOX *
boxTransform(BOX *box,
l_int32 shiftx,
l_int32 shifty,
l_float32 scalex,
l_float32 scaley)
{
PROCNAME("boxTransform");
if (!box)
return (BOX *)ERROR_PTR("box not defined", procName, NULL);
if (box->w <= 0 || box->h <= 0)
return boxCreate(0, 0, 0, 0);
else
return boxCreate((l_int32)(L_MAX(0, scalex * (box->x + shiftx) + 0.5)),
(l_int32)(L_MAX(0, scaley * (box->y + shifty) + 0.5)),
(l_int32)(L_MAX(1.0, scalex * box->w + 0.5)),
(l_int32)(L_MAX(1.0, scaley * box->h + 0.5)));
}
/*!
* \brief boxaTransformOrdered()
*
* \param[in] boxas
* \param[in] shiftx
* \param[in] shifty
* \param[in] scalex
* \param[in] scaley
* \param[in] xcen, ycen center of rotation
* \param[in] angle in radians; clockwise is positive
* \param[in] order one of 6 combinations: L_TR_SC_RO, ...
* \return boxd, or NULL on error
*
*
* shift, scaling and rotation, and the order of the
* transforms is specified.
* (2) Although these operations appear to be on an infinite
* 2D plane, in practice the region of interest is clipped
* to a finite image. The center of rotation is usually taken
* with respect to the image (either the UL corner or the
* center). A translation can have two very different effects:
* (a) Moves the boxes across the fixed image region.
* (b) Moves the image origin, causing a change in the image
* region and an opposite effective translation of the boxes.
* This function should only be used for (a), where the image
* region is fixed on translation. If the image region is
* changed by the translation, use instead the functions
* in affinecompose.c, where the image region and rotation
* center can be computed from the actual clipping due to
* translation of the image origin.
* (3) See boxTransformOrdered() for usage and implementation details.
*
*/
BOXA *
boxaTransformOrdered(BOXA *boxas,
l_int32 shiftx,
l_int32 shifty,
l_float32 scalex,
l_float32 scaley,
l_int32 xcen,
l_int32 ycen,
l_float32 angle,
l_int32 order)
{
l_int32 i, n;
BOX *boxs, *boxd;
BOXA *boxad;
PROCNAME("boxaTransformOrdered");
if (!boxas)
return (BOXA *)ERROR_PTR("boxas not defined", procName, NULL);
n = boxaGetCount(boxas);
if ((boxad = boxaCreate(n)) == NULL)
return (BOXA *)ERROR_PTR("boxad not made", procName, NULL);
for (i = 0; i < n; i++) {
if ((boxs = boxaGetBox(boxas, i, L_CLONE)) == NULL) {
boxaDestroy(&boxad);
return (BOXA *)ERROR_PTR("boxs not found", procName, NULL);
}
boxd = boxTransformOrdered(boxs, shiftx, shifty, scalex, scaley,
xcen, ycen, angle, order);
boxDestroy(&boxs);
boxaAddBox(boxad, boxd, L_INSERT);
}
return boxad;
}
/*!
* \brief boxTransformOrdered()
*
* \param[in] boxs
* \param[in] shiftx
* \param[in] shifty
* \param[in] scalex
* \param[in] scaley
* \param[in] xcen, ycen center of rotation
* \param[in] angle in radians; clockwise is positive
* \param[in] order one of 6 combinations: L_TR_SC_RO, ...
* \return boxd, or NULL on error
*
*
* Notes:
* (1) This allows a sequence of linear transforms, composed of
* shift, scaling and rotation, where the order of the
* transforms is specified.
* (2) The rotation is taken about a point specified by (xcen, ycen).
* Let the components of the vector from the center of rotation
* to the box center be (xdif, ydif):
* xdif = (bx + 0.5 * bw) - xcen
* ydif = (by + 0.5 * bh) - ycen
* Then the box center after rotation has new components:
* bxcen = xcen + xdif * cosa + ydif * sina
* bycen = ycen + ydif * cosa - xdif * sina
* where cosa and sina are the cos and sin of the angle,
* and the enclosing box for the rotated box has size:
* rw = |bw * cosa| + |bh * sina|
* rh = |bh * cosa| + |bw * sina|
* where bw and bh are the unrotated width and height.
* Then the box UL corner (rx, ry) is
* rx = bxcen - 0.5 * rw
* ry = bycen - 0.5 * rh
* (3) The center of rotation specified by args %xcen and %ycen
* is the point BEFORE any translation or scaling. If the
* rotation is not the first operation, this function finds
* the actual center at the time of rotation. It does this
* by making the following assumptions:
* (1) Any scaling is with respect to the UL corner, so
* that the center location scales accordingly.
* (2) A translation does not affect the center of
* the image; it just moves the boxes.
* We always use assumption (1). However, assumption (2)
* will be incorrect if the apparent translation is due
* to a clipping operation that, in effect, moves the
* origin of the image. In that case, you should NOT use
* these simple functions. Instead, use the functions
* in affinecompose.c, where the rotation center can be
* computed from the actual clipping due to translation
* of the image origin.
*
*/
BOX *
boxTransformOrdered(BOX *boxs,
l_int32 shiftx,
l_int32 shifty,
l_float32 scalex,
l_float32 scaley,
l_int32 xcen,
l_int32 ycen,
l_float32 angle,
l_int32 order)
{
l_int32 bx, by, bw, bh, tx, ty, tw, th;
l_int32 xcent, ycent; /* transformed center of rotation due to scaling */
l_float32 sina, cosa, xdif, ydif, rx, ry, rw, rh;
BOX *boxd;
PROCNAME("boxTransformOrdered");
if (!boxs)
return (BOX *)ERROR_PTR("boxs not defined", procName, NULL);
if (order != L_TR_SC_RO && order != L_SC_RO_TR && order != L_RO_TR_SC &&
order != L_TR_RO_SC && order != L_RO_SC_TR && order != L_SC_TR_RO)
return (BOX *)ERROR_PTR("order invalid", procName, NULL);
boxGetGeometry(boxs, &bx, &by, &bw, &bh);
if (bw <= 0 || bh <= 0) /* invalid */
return boxCreate(0, 0, 0, 0);
if (angle != 0.0) {
sina = sin(angle);
cosa = cos(angle);
}
if (order == L_TR_SC_RO) {
tx = (l_int32)(scalex * (bx + shiftx) + 0.5);
ty = (l_int32)(scaley * (by + shifty) + 0.5);
tw = (l_int32)(L_MAX(1.0, scalex * bw + 0.5));
th = (l_int32)(L_MAX(1.0, scaley * bh + 0.5));
xcent = (l_int32)(scalex * xcen + 0.5);
ycent = (l_int32)(scaley * ycen + 0.5);
if (angle == 0.0) {
boxd = boxCreate(tx, ty, tw, th);
} else {
xdif = tx + 0.5 * tw - xcent;
ydif = ty + 0.5 * th - ycent;
rw = L_ABS(tw * cosa) + L_ABS(th * sina);
rh = L_ABS(th * cosa) + L_ABS(tw * sina);
rx = xcent + xdif * cosa - ydif * sina - 0.5 * rw;
ry = ycent + ydif * cosa + xdif * sina - 0.5 * rh;
boxd = boxCreate((l_int32)rx, (l_int32)ry, (l_int32)rw,
(l_int32)rh);
}
} else if (order == L_SC_TR_RO) {
tx = (l_int32)(scalex * bx + shiftx + 0.5);
ty = (l_int32)(scaley * by + shifty + 0.5);
tw = (l_int32)(L_MAX(1.0, scalex * bw + 0.5));
th = (l_int32)(L_MAX(1.0, scaley * bh + 0.5));
xcent = (l_int32)(scalex * xcen + 0.5);
ycent = (l_int32)(scaley * ycen + 0.5);
if (angle == 0.0) {
boxd = boxCreate(tx, ty, tw, th);
} else {
xdif = tx + 0.5 * tw - xcent;
ydif = ty + 0.5 * th - ycent;
rw = L_ABS(tw * cosa) + L_ABS(th * sina);
rh = L_ABS(th * cosa) + L_ABS(tw * sina);
rx = xcent + xdif * cosa - ydif * sina - 0.5 * rw;
ry = ycent + ydif * cosa + xdif * sina - 0.5 * rh;
boxd = boxCreate((l_int32)rx, (l_int32)ry, (l_int32)rw,
(l_int32)rh);
}
} else if (order == L_RO_TR_SC) {
if (angle == 0.0) {
rx = bx;
ry = by;
rw = bw;
rh = bh;
} else {
xdif = bx + 0.5 * bw - xcen;
ydif = by + 0.5 * bh - ycen;
rw = L_ABS(bw * cosa) + L_ABS(bh * sina);
rh = L_ABS(bh * cosa) + L_ABS(bw * sina);
rx = xcen + xdif * cosa - ydif * sina - 0.5 * rw;
ry = ycen + ydif * cosa + xdif * sina - 0.5 * rh;
}
tx = (l_int32)(scalex * (rx + shiftx) + 0.5);
ty = (l_int32)(scaley * (ry + shifty) + 0.5);
tw = (l_int32)(L_MAX(1.0, scalex * rw + 0.5));
th = (l_int32)(L_MAX(1.0, scaley * rh + 0.5));
boxd = boxCreate(tx, ty, tw, th);
} else if (order == L_RO_SC_TR) {
if (angle == 0.0) {
rx = bx;
ry = by;
rw = bw;
rh = bh;
} else {
xdif = bx + 0.5 * bw - xcen;
ydif = by + 0.5 * bh - ycen;
rw = L_ABS(bw * cosa) + L_ABS(bh * sina);
rh = L_ABS(bh * cosa) + L_ABS(bw * sina);
rx = xcen + xdif * cosa - ydif * sina - 0.5 * rw;
ry = ycen + ydif * cosa + xdif * sina - 0.5 * rh;
}
tx = (l_int32)(scalex * rx + shiftx + 0.5);
ty = (l_int32)(scaley * ry + shifty + 0.5);
tw = (l_int32)(L_MAX(1.0, scalex * rw + 0.5));
th = (l_int32)(L_MAX(1.0, scaley * rh + 0.5));
boxd = boxCreate(tx, ty, tw, th);
} else if (order == L_TR_RO_SC) {
tx = bx + shiftx;
ty = by + shifty;
if (angle == 0.0) {
rx = tx;
ry = ty;
rw = bw;
rh = bh;
} else {
xdif = tx + 0.5 * bw - xcen;
ydif = ty + 0.5 * bh - ycen;
rw = L_ABS(bw * cosa) + L_ABS(bh * sina);
rh = L_ABS(bh * cosa) + L_ABS(bw * sina);
rx = xcen + xdif * cosa - ydif * sina - 0.5 * rw;
ry = ycen + ydif * cosa + xdif * sina - 0.5 * rh;
}
tx = (l_int32)(scalex * rx + 0.5);
ty = (l_int32)(scaley * ry + 0.5);
tw = (l_int32)(L_MAX(1.0, scalex * rw + 0.5));
th = (l_int32)(L_MAX(1.0, scaley * rh + 0.5));
boxd = boxCreate(tx, ty, tw, th);
} else { /* order == L_SC_RO_TR) */
tx = (l_int32)(scalex * bx + 0.5);
ty = (l_int32)(scaley * by + 0.5);
tw = (l_int32)(L_MAX(1.0, scalex * bw + 0.5));
th = (l_int32)(L_MAX(1.0, scaley * bh + 0.5));
xcent = (l_int32)(scalex * xcen + 0.5);
ycent = (l_int32)(scaley * ycen + 0.5);
if (angle == 0.0) {
rx = tx;
ry = ty;
rw = tw;
rh = th;
} else {
xdif = tx + 0.5 * tw - xcent;
ydif = ty + 0.5 * th - ycent;
rw = L_ABS(tw * cosa) + L_ABS(th * sina);
rh = L_ABS(th * cosa) + L_ABS(tw * sina);
rx = xcent + xdif * cosa - ydif * sina - 0.5 * rw;
ry = ycent + ydif * cosa + xdif * sina - 0.5 * rh;
}
tx = (l_int32)(rx + shiftx + 0.5);
ty = (l_int32)(ry + shifty + 0.5);
tw = (l_int32)(rw + 0.5);
th = (l_int32)(rh + 0.5);
boxd = boxCreate(tx, ty, tw, th);
}
return boxd;
}
/*!
* \brief boxaRotateOrth()
*
* \param[in] boxas
* \param[in] w, h of image in which the boxa is embedded
* \param[in] rotation 0 = noop, 1 = 90 deg, 2 = 180 deg, 3 = 270 deg;
* all rotations are clockwise
* \return boxad, or NULL on error
*
*
* Notes:
* (1) See boxRotateOrth() for details.
*
*/
BOXA *
boxaRotateOrth(BOXA *boxas,
l_int32 w,
l_int32 h,
l_int32 rotation)
{
l_int32 i, n;
BOX *boxs, *boxd;
BOXA *boxad;
PROCNAME("boxaRotateOrth");
if (!boxas)
return (BOXA *)ERROR_PTR("boxas not defined", procName, NULL);
if (rotation < 0 || rotation > 3)
return (BOXA *)ERROR_PTR("rotation not in {0,1,2,3}", procName, NULL);
if (rotation == 0)
return boxaCopy(boxas, L_COPY);
n = boxaGetCount(boxas);
if ((boxad = boxaCreate(n)) == NULL)
return (BOXA *)ERROR_PTR("boxad not made", procName, NULL);
for (i = 0; i < n; i++) {
if ((boxs = boxaGetBox(boxas, i, L_CLONE)) == NULL) {
boxaDestroy(&boxad);
return (BOXA *)ERROR_PTR("boxs not found", procName, NULL);
}
boxd = boxRotateOrth(boxs, w, h, rotation);
boxDestroy(&boxs);
boxaAddBox(boxad, boxd, L_INSERT);
}
return boxad;
}
/*!
* \brief boxRotateOrth()
*
* \param[in] box
* \param[in] w, h of image in which the box is embedded
* \param[in] rotation 0 = noop, 1 = 90 deg, 2 = 180 deg, 3 = 270 deg;
* all rotations are clockwise
* \return boxd, or NULL on error
*
*
* Notes:
* (1) Rotate the image with the embedded box by the specified amount.
* (2) After rotation, the rotated box is always measured with
* respect to the UL corner of the image.
*
*/
BOX *
boxRotateOrth(BOX *box,
l_int32 w,
l_int32 h,
l_int32 rotation)
{
l_int32 bx, by, bw, bh, xdist, ydist;
PROCNAME("boxRotateOrth");
if (!box)
return (BOX *)ERROR_PTR("box not defined", procName, NULL);
if (rotation < 0 || rotation > 3)
return (BOX *)ERROR_PTR("rotation not in {0,1,2,3}", procName, NULL);
if (rotation == 0)
return boxCopy(box);
boxGetGeometry(box, &bx, &by, &bw, &bh);
if (bw <= 0 || bh <= 0) /* invalid */
return boxCreate(0, 0, 0, 0);
ydist = h - by - bh; /* below box */
xdist = w - bx - bw; /* to right of box */
if (rotation == 1) /* 90 deg cw */
return boxCreate(ydist, bx, bh, bw);
else if (rotation == 2) /* 180 deg cw */
return boxCreate(xdist, ydist, bw, bh);
else /* rotation == 3, 270 deg cw */
return boxCreate(by, xdist, bh, bw);
}
/*!
* \brief boxaShiftWithPta()
*
* \param[in] boxas
* \param[in] pta aligned with the boxes; determines shift amount
* \param[in] dir +1 to shift by the values in pta; -1 to shift
* by the negative of the values in the pta.
* \return boxad, or NULL on error
*
*
* Notes:
* (1) In use, %pta may come from the UL corners of of a boxa, each
* of whose boxes contains the corresponding box of %boxas
* within it. The output %boxad is then a boxa in the (global)
* coordinates of the containing boxa. So the input %pta
* could come from boxaExtractCorners().
* (2) The operations with %dir == 1 and %dir == -1 are inverses if
* called in order (1, -1). Starting with an input boxa and
* calling twice with these values of %dir results in a boxa
* identical to the input. However, because box parameters can
* never be negative, calling in the order (-1, 1) may result
* in clipping at the left side and the top.
*
*/
BOXA *
boxaShiftWithPta(BOXA *boxas,
PTA *pta,
l_int32 dir)
{
l_int32 i, n, x, y, full;
BOX *box1, *box2;
BOXA *boxad;
PROCNAME("boxaShiftWithPta");
if (!boxas)
return (BOXA *)ERROR_PTR("boxas not defined", procName, NULL);
boxaIsFull(boxas, &full);
if (!full)
return (BOXA *)ERROR_PTR("boxas not full", procName, NULL);
if (!pta)
return (BOXA *)ERROR_PTR("pta not defined", procName, NULL);
if (dir != 1 && dir != -1)
return (BOXA *)ERROR_PTR("invalid dir", procName, NULL);
n = boxaGetCount(boxas);
if (n != ptaGetCount(pta))
return (BOXA *)ERROR_PTR("boxas and pta not same size", procName, NULL);
if ((boxad = boxaCreate(n)) == NULL)
return (BOXA *)ERROR_PTR("boxad not made", procName, NULL);
for (i = 0; i < n; i++) {
box1 = boxaGetBox(boxas, i, L_COPY);
ptaGetIPt(pta, i, &x, &y);
box2 = boxTransform(box1, dir * x, dir * y, 1.0, 1.0);
boxaAddBox(boxad, box2, L_INSERT);
boxDestroy(&box1);
}
return boxad;
}
/*---------------------------------------------------------------------*
* Boxa sort *
*---------------------------------------------------------------------*/
/*!
* \brief boxaSort()
*
* \param[in] boxas
* \param[in] sorttype L_SORT_BY_X, L_SORT_BY_Y,
* L_SORT_BY_RIGHT, L_SORT_BY_BOT,
* L_SORT_BY_WIDTH, L_SORT_BY_HEIGHT,
* L_SORT_BY_MIN_DIMENSION, L_SORT_BY_MAX_DIMENSION,
* L_SORT_BY_PERIMETER, L_SORT_BY_AREA,
* L_SORT_BY_ASPECT_RATIO
* \param[in] sortorder L_SORT_INCREASING, L_SORT_DECREASING
* \param[out] pnaindex [optional] index of sorted order into
* original array
* \return boxad sorted version of boxas, or NULL on error
*
*
* Notes:
* (1) An empty boxa returns a copy, with a warning.
*
*/
BOXA *
boxaSort(BOXA *boxas,
l_int32 sorttype,
l_int32 sortorder,
NUMA **pnaindex)
{
l_int32 i, n, x, y, w, h, size;
BOXA *boxad;
NUMA *na, *naindex;
PROCNAME("boxaSort");
if (pnaindex) *pnaindex = NULL;
if (!boxas)
return (BOXA *)ERROR_PTR("boxas not defined", procName, NULL);
if ((n = boxaGetCount(boxas)) == 0) {
L_WARNING("boxas is empty\n", procName);
return boxaCopy(boxas, L_COPY);
}
if (sorttype != L_SORT_BY_X && sorttype != L_SORT_BY_Y &&
sorttype != L_SORT_BY_RIGHT && sorttype != L_SORT_BY_BOT &&
sorttype != L_SORT_BY_WIDTH && sorttype != L_SORT_BY_HEIGHT &&
sorttype != L_SORT_BY_MIN_DIMENSION &&
sorttype != L_SORT_BY_MAX_DIMENSION &&
sorttype != L_SORT_BY_PERIMETER &&
sorttype != L_SORT_BY_AREA &&
sorttype != L_SORT_BY_ASPECT_RATIO)
return (BOXA *)ERROR_PTR("invalid sort type", procName, NULL);
if (sortorder != L_SORT_INCREASING && sortorder != L_SORT_DECREASING)
return (BOXA *)ERROR_PTR("invalid sort order", procName, NULL);
/* Use O(n) binsort if possible */
if (n > MinCompsForBinSort &&
((sorttype == L_SORT_BY_X) || (sorttype == L_SORT_BY_Y) ||
(sorttype == L_SORT_BY_WIDTH) || (sorttype == L_SORT_BY_HEIGHT) ||
(sorttype == L_SORT_BY_PERIMETER)))
return boxaBinSort(boxas, sorttype, sortorder, pnaindex);
/* Build up numa of specific data */
if ((na = numaCreate(n)) == NULL)
return (BOXA *)ERROR_PTR("na not made", procName, NULL);
for (i = 0; i < n; i++) {
boxaGetBoxGeometry(boxas, i, &x, &y, &w, &h);
switch (sorttype)
{
case L_SORT_BY_X:
numaAddNumber(na, x);
break;
case L_SORT_BY_Y:
numaAddNumber(na, y);
break;
case L_SORT_BY_RIGHT:
numaAddNumber(na, x + w - 1);
break;
case L_SORT_BY_BOT:
numaAddNumber(na, y + h - 1);
break;
case L_SORT_BY_WIDTH:
numaAddNumber(na, w);
break;
case L_SORT_BY_HEIGHT:
numaAddNumber(na, h);
break;
case L_SORT_BY_MIN_DIMENSION:
size = L_MIN(w, h);
numaAddNumber(na, size);
break;
case L_SORT_BY_MAX_DIMENSION:
size = L_MAX(w, h);
numaAddNumber(na, size);
break;
case L_SORT_BY_PERIMETER:
size = w + h;
numaAddNumber(na, size);
break;
case L_SORT_BY_AREA:
size = w * h;
numaAddNumber(na, size);
break;
case L_SORT_BY_ASPECT_RATIO:
numaAddNumber(na, (l_float32)w / (l_float32)h);
break;
default:
L_WARNING("invalid sort type\n", procName);
}
}
/* Get the sort index for data array */
naindex = numaGetSortIndex(na, sortorder);
numaDestroy(&na);
if (!naindex)
return (BOXA *)ERROR_PTR("naindex not made", procName, NULL);
/* Build up sorted boxa using sort index */
boxad = boxaSortByIndex(boxas, naindex);
if (pnaindex)
*pnaindex = naindex;
else
numaDestroy(&naindex);
return boxad;
}
/*!
* \brief boxaBinSort()
*
* \param[in] boxas
* \param[in] sorttype L_SORT_BY_X, L_SORT_BY_Y, L_SORT_BY_WIDTH,
* L_SORT_BY_HEIGHT, L_SORT_BY_PERIMETER
* \param[in] sortorder L_SORT_INCREASING, L_SORT_DECREASING
* \param[out] pnaindex [optional] index of sorted order into
* original array
* \return boxad sorted version of boxas, or NULL on error
*
*
* Notes:
* (1) For a large number of boxes (say, greater than 1000), this
* O(n) binsort is much faster than the O(nlogn) shellsort.
* For 5000 components, this is over 20x faster than boxaSort().
* (2) Consequently, boxaSort() calls this function if it will
* likely go much faster.
*
*/
BOXA *
boxaBinSort(BOXA *boxas,
l_int32 sorttype,
l_int32 sortorder,
NUMA **pnaindex)
{
l_int32 i, n, x, y, w, h;
BOXA *boxad;
NUMA *na, *naindex;
PROCNAME("boxaBinSort");
if (pnaindex) *pnaindex = NULL;
if (!boxas)
return (BOXA *)ERROR_PTR("boxas not defined", procName, NULL);
if ((n = boxaGetCount(boxas)) == 0) {
L_WARNING("boxas is empty\n", procName);
return boxaCopy(boxas, L_COPY);
}
if (sorttype != L_SORT_BY_X && sorttype != L_SORT_BY_Y &&
sorttype != L_SORT_BY_WIDTH && sorttype != L_SORT_BY_HEIGHT &&
sorttype != L_SORT_BY_PERIMETER)
return (BOXA *)ERROR_PTR("invalid sort type", procName, NULL);
if (sortorder != L_SORT_INCREASING && sortorder != L_SORT_DECREASING)
return (BOXA *)ERROR_PTR("invalid sort order", procName, NULL);
/* Generate Numa of appropriate box dimensions */
if ((na = numaCreate(n)) == NULL)
return (BOXA *)ERROR_PTR("na not made", procName, NULL);
for (i = 0; i < n; i++) {
boxaGetBoxGeometry(boxas, i, &x, &y, &w, &h);
switch (sorttype)
{
case L_SORT_BY_X:
numaAddNumber(na, x);
break;
case L_SORT_BY_Y:
numaAddNumber(na, y);
break;
case L_SORT_BY_WIDTH:
numaAddNumber(na, w);
break;
case L_SORT_BY_HEIGHT:
numaAddNumber(na, h);
break;
case L_SORT_BY_PERIMETER:
numaAddNumber(na, w + h);
break;
default:
L_WARNING("invalid sort type\n", procName);
}
}
/* Get the sort index for data array */
naindex = numaGetBinSortIndex(na, sortorder);
numaDestroy(&na);
if (!naindex)
return (BOXA *)ERROR_PTR("naindex not made", procName, NULL);
/* Build up sorted boxa using the sort index */
boxad = boxaSortByIndex(boxas, naindex);
if (pnaindex)
*pnaindex = naindex;
else
numaDestroy(&naindex);
return boxad;
}
/*!
* \brief boxaSortByIndex()
*
* \param[in] boxas
* \param[in] naindex na that maps from the new boxa to the input boxa
* \return boxad sorted, or NULL on error
*/
BOXA *
boxaSortByIndex(BOXA *boxas,
NUMA *naindex)
{
l_int32 i, n, index;
BOX *box;
BOXA *boxad;
PROCNAME("boxaSortByIndex");
if (!boxas)
return (BOXA *)ERROR_PTR("boxas not defined", procName, NULL);
if ((n = boxaGetCount(boxas)) == 0) {
L_WARNING("boxas is empty\n", procName);
return boxaCopy(boxas, L_COPY);
}
if (!naindex)
return (BOXA *)ERROR_PTR("naindex not defined", procName, NULL);
boxad = boxaCreate(n);
for (i = 0; i < n; i++) {
numaGetIValue(naindex, i, &index);
box = boxaGetBox(boxas, index, L_COPY);
boxaAddBox(boxad, box, L_INSERT);
}
return boxad;
}
/*!
* \brief boxaSort2d()
*
* \param[in] boxas
* \param[out] pnaad [optional] numaa with sorted indices
* whose values are the indices of the input array
* \param[in] delta1 min separation that permits aggregation of a box
* onto a boxa of horizontally-aligned boxes; pass 1
* \param[in] delta2 min separation that permits aggregation of a box
* onto a boxa of horizontally-aligned boxes; pass 2
* \param[in] minh1 components less than this height either join an
* existing boxa or are set aside for pass 2
* \return baa 2d sorted version of boxa, or NULL on error
*
*
* Notes:
* (1) The final result is a sort where the 'fast scan' direction is
* left to right, and the 'slow scan' direction is from top
* to bottom. Each boxa in the baa represents a sorted set
* of boxes from left to right.
* (2) Three passes are used to aggregate the boxas, which can correspond
* to characters or words in a line of text. In pass 1, only
* taller components, which correspond to xheight or larger,
* are permitted to start a new boxa. In pass 2, the remaining
* vertically-challenged components are allowed to join an
* existing boxa or start a new one. In pass 3, boxa whose extent
* is overlapping are joined. After that, the boxes in each
* boxa are sorted horizontally, and finally the boxa are
* sorted vertically.
* (3) If %delta1 > 0, the first pass allows aggregation when
* boxes in the same boxa do not overlap vertically. In fact,
* %delta1 is the max distance by which they can miss and still
* be aggregated. If %delta1 < 0, the box must have vertical
* overlap of at least abs(%delta1) with the boxa before it
* can be merged. Similar for delta2 on the second pass.
* (4) On the first pass, any component of height less than minh1
* cannot start a new boxa; it's put aside for later insertion.
* (5) On the second pass, any small component that doesn't align
* with an existing boxa can start a new one.
* (6) This can be used to identify lines of text from
* character or word bounding boxes.
* (7) Typical values for the input parameters on 300 ppi text are:
* delta1 ~ 0
* delta2 ~ 0
* minh1 ~ 5
*
*/
BOXAA *
boxaSort2d(BOXA *boxas,
NUMAA **pnaad,
l_int32 delta1,
l_int32 delta2,
l_int32 minh1)
{
l_int32 i, index, h, nt, ne, n, m, ival;
BOX *box;
BOXA *boxa, *boxae, *boxan, *boxa1, *boxa2, *boxa3, *boxav, *boxavs;
BOXAA *baa, *baa1, *baad;
NUMA *naindex, *nae, *nan, *nah, *nav, *na1, *na2, *nad, *namap;
NUMAA *naa, *naa1, *naad;
PROCNAME("boxaSort2d");
if (pnaad) *pnaad = NULL;
if (!boxas)
return (BOXAA *)ERROR_PTR("boxas not defined", procName, NULL);
if (boxaGetCount(boxas) == 0)
return (BOXAA *)ERROR_PTR("boxas is empty", procName, NULL);
/* Sort from left to right */
if ((boxa = boxaSort(boxas, L_SORT_BY_X, L_SORT_INCREASING, &naindex))
== NULL)
return (BOXAA *)ERROR_PTR("boxa not made", procName, NULL);
/* First pass: assign taller boxes to boxa by row */
nt = boxaGetCount(boxa);
baa = boxaaCreate(0);
naa = numaaCreate(0);
boxae = boxaCreate(0); /* save small height boxes here */
nae = numaCreate(0); /* keep track of small height boxes */
for (i = 0; i < nt; i++) {
box = boxaGetBox(boxa, i, L_CLONE);
boxGetGeometry(box, NULL, NULL, NULL, &h);
if (h < minh1) { /* save for 2nd pass */
boxaAddBox(boxae, box, L_INSERT);
numaAddNumber(nae, i);
} else {
n = boxaaGetCount(baa);
boxaaAlignBox(baa, box, delta1, &index);
if (index < n) { /* append to an existing boxa */
boxaaAddBox(baa, index, box, L_INSERT);
} else { /* doesn't align, need new boxa */
boxan = boxaCreate(0);
boxaAddBox(boxan, box, L_INSERT);
boxaaAddBoxa(baa, boxan, L_INSERT);
nan = numaCreate(0);
numaaAddNuma(naa, nan, L_INSERT);
}
numaGetIValue(naindex, i, &ival);
numaaAddNumber(naa, index, ival);
}
}
boxaDestroy(&boxa);
numaDestroy(&naindex);
/* Second pass: feed in small height boxes */
ne = boxaGetCount(boxae);
for (i = 0; i < ne; i++) {
box = boxaGetBox(boxae, i, L_CLONE);
n = boxaaGetCount(baa);
boxaaAlignBox(baa, box, delta2, &index);
if (index < n) { /* append to an existing boxa */
boxaaAddBox(baa, index, box, L_INSERT);
} else { /* doesn't align, need new boxa */
boxan = boxaCreate(0);
boxaAddBox(boxan, box, L_INSERT);
boxaaAddBoxa(baa, boxan, L_INSERT);
nan = numaCreate(0);
numaaAddNuma(naa, nan, L_INSERT);
}
numaGetIValue(nae, i, &ival); /* location in original boxas */
numaaAddNumber(naa, index, ival);
}
/* Third pass: merge some boxa whose extent is overlapping.
* Think of these boxa as text lines, where the bounding boxes
* of the text lines can overlap, but likely won't have
* a huge overlap.
* First do a greedy find of pairs of overlapping boxa, where
* the two boxa overlap by at least 50% of the smaller, and
* the smaller is not more than half the area of the larger.
* For such pairs, call the larger one the primary boxa. The
* boxes in the smaller one are appended to those in the primary
* in pass 3a, and the primaries are extracted in pass 3b.
* In this way, all boxes in the original baa are saved. */
n = boxaaGetCount(baa);
boxaaGetExtent(baa, NULL, NULL, NULL, &boxa3);
boxa1 = boxaHandleOverlaps(boxa3, L_REMOVE_SMALL, 1000, 0.5, 0.5, &namap);
boxaDestroy(&boxa1);
boxaDestroy(&boxa3);
for (i = 0; i < n; i++) { /* Pass 3a: join selected copies of boxa */
numaGetIValue(namap, i, &ival);
if (ival >= 0) { /* join current to primary boxa[ival] */
boxa1 = boxaaGetBoxa(baa, i, L_COPY);
boxa2 = boxaaGetBoxa(baa, ival, L_CLONE);
boxaJoin(boxa2, boxa1, 0, -1);
boxaDestroy(&boxa2);
boxaDestroy(&boxa1);
na1 = numaaGetNuma(naa, i, L_COPY);
na2 = numaaGetNuma(naa, ival, L_CLONE);
numaJoin(na2, na1, 0, -1);
numaDestroy(&na1);
numaDestroy(&na2);
}
}
baa1 = boxaaCreate(n);
naa1 = numaaCreate(n);
for (i = 0; i < n; i++) { /* Pass 3b: save primary boxa */
numaGetIValue(namap, i, &ival);
if (ival == -1) {
boxa1 = boxaaGetBoxa(baa, i, L_CLONE);
boxaaAddBoxa(baa1, boxa1, L_INSERT);
na1 = numaaGetNuma(naa, i, L_CLONE);
numaaAddNuma(naa1, na1, L_INSERT);
}
}
numaDestroy(&namap);
boxaaDestroy(&baa);
baa = baa1;
numaaDestroy(&naa);
naa = naa1;
/* Sort the boxes in each boxa horizontally */
m = boxaaGetCount(baa);
for (i = 0; i < m; i++) {
boxa1 = boxaaGetBoxa(baa, i, L_CLONE);
boxa2 = boxaSort(boxa1, L_SORT_BY_X, L_SORT_INCREASING, &nah);
boxaaReplaceBoxa(baa, i, boxa2);
na1 = numaaGetNuma(naa, i, L_CLONE);
na2 = numaSortByIndex(na1, nah);
numaaReplaceNuma(naa, i, na2);
boxaDestroy(&boxa1);
numaDestroy(&na1);
numaDestroy(&nah);
}
/* Sort the boxa vertically within boxaa, using the first box
* in each boxa. */
m = boxaaGetCount(baa);
boxav = boxaCreate(m); /* holds first box in each boxa in baa */
naad = numaaCreate(m);
if (pnaad)
*pnaad = naad;
baad = boxaaCreate(m);
for (i = 0; i < m; i++) {
boxa1 = boxaaGetBoxa(baa, i, L_CLONE);
box = boxaGetBox(boxa1, 0, L_CLONE);
boxaAddBox(boxav, box, L_INSERT);
boxaDestroy(&boxa1);
}
boxavs = boxaSort(boxav, L_SORT_BY_Y, L_SORT_INCREASING, &nav);
for (i = 0; i < m; i++) {
numaGetIValue(nav, i, &index);
boxa = boxaaGetBoxa(baa, index, L_CLONE);
boxaaAddBoxa(baad, boxa, L_INSERT);
nad = numaaGetNuma(naa, index, L_CLONE);
numaaAddNuma(naad, nad, L_INSERT);
}
/* lept_stderr("box count = %d, numaa count = %d\n", nt,
numaaGetNumberCount(naad)); */
boxaaDestroy(&baa);
boxaDestroy(&boxav);
boxaDestroy(&boxavs);
boxaDestroy(&boxae);
numaDestroy(&nav);
numaDestroy(&nae);
numaaDestroy(&naa);
if (!pnaad)
numaaDestroy(&naad);
return baad;
}
/*!
* \brief boxaSort2dByIndex()
*
* \param[in] boxas
* \param[in] naa numaa that maps from the new baa to the input boxa
* \return baa sorted boxaa, or NULL on error
*/
BOXAA *
boxaSort2dByIndex(BOXA *boxas,
NUMAA *naa)
{
l_int32 ntot, boxtot, i, j, n, nn, index;
BOX *box;
BOXA *boxa;
BOXAA *baa;
NUMA *na;
PROCNAME("boxaSort2dByIndex");
if (!boxas)
return (BOXAA *)ERROR_PTR("boxas not defined", procName, NULL);
if ((boxtot = boxaGetCount(boxas)) == 0)
return (BOXAA *)ERROR_PTR("boxas is empty", procName, NULL);
if (!naa)
return (BOXAA *)ERROR_PTR("naindex not defined", procName, NULL);
/* Check counts */
ntot = numaaGetNumberCount(naa);
if (ntot != boxtot)
return (BOXAA *)ERROR_PTR("element count mismatch", procName, NULL);
n = numaaGetCount(naa);
baa = boxaaCreate(n);
for (i = 0; i < n; i++) {
na = numaaGetNuma(naa, i, L_CLONE);
nn = numaGetCount(na);
boxa = boxaCreate(nn);
for (j = 0; j < nn; j++) {
numaGetIValue(na, i, &index);
box = boxaGetBox(boxas, index, L_COPY);
boxaAddBox(boxa, box, L_INSERT);
}
boxaaAddBoxa(baa, boxa, L_INSERT);
numaDestroy(&na);
}
return baa;
}
/*---------------------------------------------------------------------*
* Boxa array extraction *
*---------------------------------------------------------------------*/
/*!
* \brief boxaExtractAsNuma()
*
* \param[in] boxa
* \param[out] pnal [optional] array of left locations
* \param[out] pnat [optional] array of top locations
* \param[out] pnar [optional] array of right locations
* \param[out] pnab [optional] array of bottom locations
* \param[out] pnaw [optional] array of widths
* \param[out] pnah [optional] array of heights
* \param[in] keepinvalid 1 to keep invalid boxes; 0 to remove them
* \return 0 if OK, 1 on error
*
*
* Notes:
* (1) If you are counting or sorting values, such as determining
* rank order, you must remove invalid boxes.
* (2) If you are parametrizing the values, or doing an evaluation
* where the position in the boxa sequence is important, you
* must replace the invalid boxes with valid ones before
* doing the extraction. This is easily done with boxaFillSequence().
*
*/
l_ok
boxaExtractAsNuma(BOXA *boxa,
NUMA **pnal,
NUMA **pnat,
NUMA **pnar,
NUMA **pnab,
NUMA **pnaw,
NUMA **pnah,
l_int32 keepinvalid)
{
l_int32 i, n, left, top, right, bot, w, h;
PROCNAME("boxaExtractAsNuma");
if (!pnal && !pnat && !pnar && !pnab && !pnaw && !pnah)
return ERROR_INT("no output requested", procName, 1);
if (pnal) *pnal = NULL;
if (pnat) *pnat = NULL;
if (pnar) *pnar = NULL;
if (pnab) *pnab = NULL;
if (pnaw) *pnaw = NULL;
if (pnah) *pnah = NULL;
if (!boxa)
return ERROR_INT("boxa not defined", procName, 1);
if (!keepinvalid && boxaGetValidCount(boxa) == 0)
return ERROR_INT("no valid boxes", procName, 1);
n = boxaGetCount(boxa);
if (pnal) *pnal = numaCreate(n);
if (pnat) *pnat = numaCreate(n);
if (pnar) *pnar = numaCreate(n);
if (pnab) *pnab = numaCreate(n);
if (pnaw) *pnaw = numaCreate(n);
if (pnah) *pnah = numaCreate(n);
for (i = 0; i < n; i++) {
boxaGetBoxGeometry(boxa, i, &left, &top, &w, &h);
if (!keepinvalid && (w <= 0 || h <= 0))
continue;
right = left + w - 1;
bot = top + h - 1;
if (pnal) numaAddNumber(*pnal, left);
if (pnat) numaAddNumber(*pnat, top);
if (pnar) numaAddNumber(*pnar, right);
if (pnab) numaAddNumber(*pnab, bot);
if (pnaw) numaAddNumber(*pnaw, w);
if (pnah) numaAddNumber(*pnah, h);
}
return 0;
}
/*!
* \brief boxaExtractAsPta()
*
* \param[in] boxa
* \param[out] pptal [optional] array of left locations vs. index
* \param[out] pptat [optional] array of top locations vs. index
* \param[out] pptar [optional] array of right locations vs. index
* \param[out] pptab [optional] array of bottom locations vs. index
* \param[out] pptaw [optional] array of widths vs. index
* \param[out] pptah [optional] array of heights vs. index
* \param[in] keepinvalid 1 to keep invalid boxes; 0 to remove them
* \return 0 if OK, 1 on error
*
*
* Notes:
* (1) For most applications, such as counting, sorting, fitting
* to some parametrized form, plotting or filtering in general,
* you should remove the invalid boxes. Each pta saves the
* box index in the x array, so replacing invalid boxes by
* filling with boxaFillSequence(), which is required for
* boxaExtractAsNuma(), is not necessary.
* (2) If invalid boxes are retained, each one will result in
* entries (typically 0) in all selected output pta.
* (3) Other boxa --> pta functions are:
* * boxaExtractCorners(): extracts any of the four corners as a pta.
* * boxaConvertToPta(): extracts sufficient number of corners
* to allow reconstruction of the original boxa from the pta.
*
*/
l_ok
boxaExtractAsPta(BOXA *boxa,
PTA **pptal,
PTA **pptat,
PTA **pptar,
PTA **pptab,
PTA **pptaw,
PTA **pptah,
l_int32 keepinvalid)
{
l_int32 i, n, left, top, right, bot, w, h;
PROCNAME("boxaExtractAsPta");
if (!pptal && !pptar && !pptat && !pptab && !pptaw && !pptah)
return ERROR_INT("no output requested", procName, 1);
if (pptal) *pptal = NULL;
if (pptat) *pptat = NULL;
if (pptar) *pptar = NULL;
if (pptab) *pptab = NULL;
if (pptaw) *pptaw = NULL;
if (pptah) *pptah = NULL;
if (!boxa)
return ERROR_INT("boxa not defined", procName, 1);
if (!keepinvalid && boxaGetValidCount(boxa) == 0)
return ERROR_INT("no valid boxes", procName, 1);
n = boxaGetCount(boxa);
if (pptal) *pptal = ptaCreate(n);
if (pptat) *pptat = ptaCreate(n);
if (pptar) *pptar = ptaCreate(n);
if (pptab) *pptab = ptaCreate(n);
if (pptaw) *pptaw = ptaCreate(n);
if (pptah) *pptah = ptaCreate(n);
for (i = 0; i < n; i++) {
boxaGetBoxGeometry(boxa, i, &left, &top, &w, &h);
if (!keepinvalid && (w <= 0 || h <= 0))
continue;
right = left + w - 1;
bot = top + h - 1;
if (pptal) ptaAddPt(*pptal, i, left);
if (pptat) ptaAddPt(*pptat, i, top);
if (pptar) ptaAddPt(*pptar, i, right);
if (pptab) ptaAddPt(*pptab, i, bot);
if (pptaw) ptaAddPt(*pptaw, i, w);
if (pptah) ptaAddPt(*pptah, i, h);
}
return 0;
}
/*!
* \brief boxaExtractCorners()
*
* \param[in] boxa
* \param[in] loc L_UPPER_LEFT, L_UPPER_RIGHT, L_LOWER_LEFT,
* L_LOWER_RIGHT, L_BOX_CENTER
* \return pta of requested coordinates, or NULL on error
*
*
* Notes:
* (1) Extracts (0,0) for invalid boxes.
* (2) Other boxa --> pta functions are:
* * boxaExtractAsPta(): allows extraction of any dimension
* and/or side location, with each in a separate pta.
* * boxaConvertToPta(): extracts sufficient number of corners
* to allow reconstruction of the original boxa from the pta.
*
*/
PTA *
boxaExtractCorners(BOXA *boxa,
l_int32 loc)
{
l_int32 i, n, left, top, right, bot, w, h;
PTA *pta;
PROCNAME("boxaExtractCorners");
if (!boxa)
return (PTA *)ERROR_PTR("boxa not defined", procName, NULL);
if (loc != L_UPPER_LEFT && loc != L_UPPER_RIGHT && loc != L_LOWER_LEFT &&
loc != L_LOWER_RIGHT && loc != L_BOX_CENTER)
return (PTA *)ERROR_PTR("invalid location", procName, NULL);
n = boxaGetCount(boxa);
if ((pta = ptaCreate(n)) == NULL)
return (PTA *)ERROR_PTR("pta not made", procName, NULL);
for (i = 0; i < n; i++) {
boxaGetBoxGeometry(boxa, i, &left, &top, &w, &h);
right = left + w - 1;
bot = top + h - 1;
if (w == 0 || h == 0) { /* invalid */
left = 0;
top = 0;
right = 0;
bot = 0;
}
if (loc == L_UPPER_LEFT)
ptaAddPt(pta, left, top);
else if (loc == L_UPPER_RIGHT)
ptaAddPt(pta, right, top);
else if (loc == L_LOWER_LEFT)
ptaAddPt(pta, left, bot);
else if (loc == L_LOWER_RIGHT)
ptaAddPt(pta, right, bot);
else if (loc == L_BOX_CENTER)
ptaAddPt(pta, (left + right) / 2, (top + bot) / 2);
}
return pta;
}
/*---------------------------------------------------------------------*
* Boxa statistics *
*---------------------------------------------------------------------*/
/*!
* \brief boxaGetRankVals()
*
* \param[in] boxa
* \param[in] fract use 0.0 for smallest, 1.0 for largest width and height
* \param[out] px [optional] rank value of x (left side)
* \param[out] py [optional] rank value of y (top side)
* \param[out] pr [optional] rank value of right side
* \param[out] pb [optional] rank value of bottom side
* \param[out] pw [optional] rank value of width
* \param[out] ph [optional] rank value of height
* \return 0 if OK, 1 on error or if the boxa is empty or has no valid boxes
*
*
* Notes:
* (1) This function does not assume that all boxes in the boxa are valid
* (2) The six box parameters are sorted independently.
* For rank order, the width and height are sorted in increasing
* order. But what does it mean to sort x and y in "rank order"?
* If the boxes are of comparable size and somewhat
* aligned (e.g., from multiple images), it makes some sense
* to give a "rank order" for x and y by sorting them in
* decreasing order. (By the same argument, we choose to sort
* the r and b sides in increasing order.) In general, the
* interpretation of a rank order on x and y (or on r and b)
* is highly application dependent. In summary:
* ~ x and y are sorted in decreasing order
* ~ r and b are sorted in increasing order
* ~ w and h are sorted in increasing order
*
*/
l_ok
boxaGetRankVals(BOXA *boxa,
l_float32 fract,
l_int32 *px,
l_int32 *py,
l_int32 *pr,
l_int32 *pb,
l_int32 *pw,
l_int32 *ph)
{
l_float32 xval, yval, rval, bval, wval, hval;
NUMA *nax, *nay, *nar, *nab, *naw, *nah;
PROCNAME("boxaGetRankVals");
if (px) *px = 0;
if (py) *py = 0;
if (pr) *pr = 0;
if (pb) *pb = 0;
if (pw) *pw = 0;
if (ph) *ph = 0;
if (!boxa)
return ERROR_INT("boxa not defined", procName, 1);
if (fract < 0.0 || fract > 1.0)
return ERROR_INT("fract not in [0.0 ... 1.0]", procName, 1);
if (boxaGetValidCount(boxa) == 0)
return ERROR_INT("no valid boxes in boxa", procName, 1);
/* Use only the valid boxes */
boxaExtractAsNuma(boxa, &nax, &nay, &nar, &nab, &naw, &nah, 0);
if (px) {
numaGetRankValue(nax, 1.0 - fract, NULL, 1, &xval);
*px = (l_int32)xval;
}
if (py) {
numaGetRankValue(nay, 1.0 - fract, NULL, 1, &yval);
*py = (l_int32)yval;
}
if (pr) {
numaGetRankValue(nar, fract, NULL, 1, &rval);
*pr = (l_int32)rval;
}
if (pb) {
numaGetRankValue(nab, fract, NULL, 1, &bval);
*pb = (l_int32)bval;
}
if (pw) {
numaGetRankValue(naw, fract, NULL, 1, &wval);
*pw = (l_int32)wval;
}
if (ph) {
numaGetRankValue(nah, fract, NULL, 1, &hval);
*ph = (l_int32)hval;
}
numaDestroy(&nax);
numaDestroy(&nay);
numaDestroy(&nar);
numaDestroy(&nab);
numaDestroy(&naw);
numaDestroy(&nah);
return 0;
}
/*!
* \brief boxaGetMedianVals()
*
* \param[in] boxa
* \param[out] px [optional] median value of x (left side)
* \param[out] py [optional] median value of y (top side)
* \param[out] pr [optional] median value of right side
* \param[out] pb [optional] median value of bottom side
* \param[out] pw [optional] median value of width
* \param[out] ph [optional] median value of height
* \return 0 if OK, 1 on error or if the boxa is empty or has no valid boxes
*
*
* Notes:
* (1) See boxaGetRankVals()
*
*/
l_ok
boxaGetMedianVals(BOXA *boxa,
l_int32 *px,
l_int32 *py,
l_int32 *pr,
l_int32 *pb,
l_int32 *pw,
l_int32 *ph)
{
PROCNAME("boxaGetMedianVals");
if (!boxa)
return ERROR_INT("boxa not defined", procName, 1);
if (boxaGetValidCount(boxa) == 0)
return ERROR_INT("no valid boxes in boxa", procName, 1);
return boxaGetRankVals(boxa, 0.5, px, py, pr, pb, pw, ph);
}
/*!
* \brief boxaGetAverageSize()
*
* \param[in] boxa
* \param[out] pw [optional] average width
* \param[out] ph [optional] average height
* \return 0 if OK, 1 on error or if the boxa is empty
*/
l_ok
boxaGetAverageSize(BOXA *boxa,
l_float32 *pw,
l_float32 *ph)
{
l_int32 i, n, bw, bh;
l_float32 sumw, sumh;
PROCNAME("boxaGetAverageSize");
if (pw) *pw = 0.0;
if (ph) *ph = 0.0;
if (!boxa)
return ERROR_INT("boxa not defined", procName, 1);
if ((n = boxaGetCount(boxa)) == 0)
return ERROR_INT("boxa is empty", procName, 1);
sumw = sumh = 0.0;
for (i = 0; i < n; i++) {
boxaGetBoxGeometry(boxa, i, NULL, NULL, &bw, &bh);
sumw += bw;
sumh += bh;
}
if (pw) *pw = sumw / n;
if (ph) *ph = sumh / n;
return 0;
}
/*---------------------------------------------------------------------*
* Other Boxaa functions *
*---------------------------------------------------------------------*/
/*!
* \brief boxaaGetExtent()
*
* \param[in] baa
* \param[out] pw [optional] width
* \param[out] ph [optional] height
* \param[out] pbox [optional] minimum box containing all boxa
* in boxaa
* \param[out] pboxa [optional] boxa containing all boxes in each
* boxa in the boxaa
* \return 0 if OK, 1 on error
*
*
* Notes:
* (1) The returned w and h are the minimum size image
* that would contain all boxes untranslated.
* (2) Each box in the returned boxa is the minimum box required to
* hold all the boxes in the respective boxa of baa.
* (3) If there are no valid boxes in a boxa, the box corresponding
* to its extent has all fields set to 0 (an invalid box).
*
*/
l_ok
boxaaGetExtent(BOXAA *baa,
l_int32 *pw,
l_int32 *ph,
BOX **pbox,
BOXA **pboxa)
{
l_int32 i, n, x, y, w, h, xmax, ymax, xmin, ymin, found;
BOX *box1;
BOXA *boxa, *boxa1;
PROCNAME("boxaaGetExtent");
if (!pw && !ph && !pbox && !pboxa)
return ERROR_INT("no ptrs defined", procName, 1);
if (pw) *pw = 0;
if (ph) *ph = 0;
if (pbox) *pbox = NULL;
if (pboxa) *pboxa = NULL;
if (!baa)
return ERROR_INT("baa not defined", procName, 1);
n = boxaaGetCount(baa);
if (n == 0)
return ERROR_INT("no boxa in baa", procName, 1);
boxa = boxaCreate(n);
xmax = ymax = 0;
xmin = ymin = 100000000;
found = FALSE;
for (i = 0; i < n; i++) {
boxa1 = boxaaGetBoxa(baa, i, L_CLONE);
boxaGetExtent(boxa1, NULL, NULL, &box1);
boxaDestroy(&boxa1);
boxGetGeometry(box1, &x, &y, &w, &h);
if (w > 0 && h > 0) { /* a valid extent box */
found = TRUE; /* found at least one valid extent box */
xmin = L_MIN(xmin, x);
ymin = L_MIN(ymin, y);
xmax = L_MAX(xmax, x + w);
ymax = L_MAX(ymax, y + h);
}
boxaAddBox(boxa, box1, L_INSERT);
}
if (found == FALSE) /* no valid extent boxes */
xmin = ymin = 0;
if (pw) *pw = xmax;
if (ph) *ph = ymax;
if (pbox)
*pbox = boxCreate(xmin, ymin, xmax - xmin, ymax - ymin);
if (pboxa)
*pboxa = boxa;
else
boxaDestroy(&boxa);
return 0;
}
/*!
* \brief boxaaFlattenToBoxa()
*
* \param[in] baa
* \param[out] pnaindex [optional] the boxa index in the baa
* \param[in] copyflag L_COPY or L_CLONE
* \return boxa, or NULL on error
*
*
* Notes:
* (1) This 'flattens' the baa to a boxa, taking the boxes in
* order in the first boxa, then the second, etc.
* (2) If a boxa is empty, we generate an invalid, placeholder box
* of zero size. This is useful when converting from a baa
* where each boxa has either 0 or 1 boxes, and it is necessary
* to maintain a 1:1 correspondence between the initial
* boxa array and the resulting box array.
* (3) If &naindex is defined, we generate a Numa that gives, for
* each box in the baa, the index of the boxa to which it belongs.
*
*/
BOXA *
boxaaFlattenToBoxa(BOXAA *baa,
NUMA **pnaindex,
l_int32 copyflag)
{
l_int32 i, j, m, n;
BOXA *boxa, *boxat;
BOX *box;
NUMA *naindex;
PROCNAME("boxaaFlattenToBoxa");
if (pnaindex) *pnaindex = NULL;
if (!baa)
return (BOXA *)ERROR_PTR("baa not defined", procName, NULL);
if (copyflag != L_COPY && copyflag != L_CLONE)
return (BOXA *)ERROR_PTR("invalid copyflag", procName, NULL);
if (pnaindex) {
naindex = numaCreate(0);
*pnaindex = naindex;
}
n = boxaaGetCount(baa);
boxa = boxaCreate(n);
for (i = 0; i < n; i++) {
boxat = boxaaGetBoxa(baa, i, L_CLONE);
m = boxaGetCount(boxat);
if (m == 0) { /* placeholder box */
box = boxCreate(0, 0, 0, 0);
boxaAddBox(boxa, box, L_INSERT);
if (pnaindex)
numaAddNumber(naindex, i); /* save 'row' number */
} else {
for (j = 0; j < m; j++) {
box = boxaGetBox(boxat, j, copyflag);
boxaAddBox(boxa, box, L_INSERT);
if (pnaindex)
numaAddNumber(naindex, i); /* save 'row' number */
}
}
boxaDestroy(&boxat);
}
return boxa;
}
/*!
* \brief boxaaFlattenAligned()
*
* \param[in] baa
* \param[in] num number extracted from each
* \param[in] fillerbox [optional] that fills if necessary
* \param[in] copyflag L_COPY or L_CLONE
* \return boxa, or NULL on error
*
*
* Notes:
* (1) This 'flattens' the baa to a boxa, taking the first %num
* boxes from each boxa.
* (2) In each boxa, if there are less than %num boxes, we preserve
* the alignment between the input baa and the output boxa
* by inserting one or more fillerbox(es) or, if %fillerbox == NULL,
* one or more invalid placeholder boxes.
*
*/
BOXA *
boxaaFlattenAligned(BOXAA *baa,
l_int32 num,
BOX *fillerbox,
l_int32 copyflag)
{
l_int32 i, j, m, n, mval, nshort;
BOXA *boxat, *boxad;
BOX *box;
PROCNAME("boxaaFlattenAligned");
if (!baa)
return (BOXA *)ERROR_PTR("baa not defined", procName, NULL);
if (copyflag != L_COPY && copyflag != L_CLONE)
return (BOXA *)ERROR_PTR("invalid copyflag", procName, NULL);
n = boxaaGetCount(baa);
boxad = boxaCreate(n);
for (i = 0; i < n; i++) {
boxat = boxaaGetBoxa(baa, i, L_CLONE);
m = boxaGetCount(boxat);
mval = L_MIN(m, num);
nshort = num - mval;
for (j = 0; j < mval; j++) { /* take the first %num if possible */
box = boxaGetBox(boxat, j, copyflag);
boxaAddBox(boxad, box, L_INSERT);
}
for (j = 0; j < nshort; j++) { /* add fillers if necessary */
if (fillerbox) {
boxaAddBox(boxad, fillerbox, L_COPY);
} else {
box = boxCreate(0, 0, 0, 0); /* invalid placeholder box */
boxaAddBox(boxad, box, L_INSERT);
}
}
boxaDestroy(&boxat);
}
return boxad;
}
/*!
* \brief boxaEncapsulateAligned()
*
* \param[in] boxa
* \param[in] num number put into each boxa in the baa
* \param[in] copyflag L_COPY or L_CLONE
* \return baa, or NULL on error
*
*
* Notes:
* (1) This puts %num boxes from the input %boxa into each of a
* set of boxa within an output baa.
* (2) This assumes that the boxes in %boxa are in sets of %num each.
*
*/
BOXAA *
boxaEncapsulateAligned(BOXA *boxa,
l_int32 num,
l_int32 copyflag)
{
l_int32 i, j, n, nbaa, index;
BOX *box;
BOXA *boxat;
BOXAA *baa;
PROCNAME("boxaEncapsulateAligned");
if (!boxa)
return (BOXAA *)ERROR_PTR("boxa not defined", procName, NULL);
if (copyflag != L_COPY && copyflag != L_CLONE)
return (BOXAA *)ERROR_PTR("invalid copyflag", procName, NULL);
n = boxaGetCount(boxa);
nbaa = n / num;
if (num * nbaa != n)
L_ERROR("inconsistent alignment: num doesn't divide n\n", procName);
baa = boxaaCreate(nbaa);
for (i = 0, index = 0; i < nbaa; i++) {
boxat = boxaCreate(num);
for (j = 0; j < num; j++, index++) {
box = boxaGetBox(boxa, index, copyflag);
boxaAddBox(boxat, box, L_INSERT);
}
boxaaAddBoxa(baa, boxat, L_INSERT);
}
return baa;
}
/*!
* \brief boxaaTranspose()
*
* \param[in] baas
* \return baad, or NULL on error
*
*
* Notes:
* (1) If you think of a boxaa as a 2D array of boxes that is accessed
* row major, then each row is represented by one of the boxa.
* This function creates a new boxaa related to the input boxaa
* as a column major traversal of the input boxaa.
* (2) For example, if %baas has 2 boxa, each with 10 boxes, then
* %baad will have 10 boxa, each with 2 boxes.
* (3) Require for this transpose operation that each boxa in
* %baas has the same number of boxes. This operation is useful
* when the i-th boxes in each boxa are meaningfully related.
*
*/
BOXAA *
boxaaTranspose(BOXAA *baas)
{
l_int32 i, j, ny, nb, nbox;
BOX *box;
BOXA *boxa;
BOXAA *baad;
PROCNAME("boxaaTranspose");
if (!baas)
return (BOXAA *)ERROR_PTR("baas not defined", procName, NULL);
if ((ny = boxaaGetCount(baas)) == 0)
return (BOXAA *)ERROR_PTR("baas empty", procName, NULL);
/* Make sure that each boxa in baas has the same number of boxes */
for (i = 0; i < ny; i++) {
if ((boxa = boxaaGetBoxa(baas, i, L_CLONE)) == NULL)
return (BOXAA *)ERROR_PTR("baas is missing a boxa", procName, NULL);
nb = boxaGetCount(boxa);
boxaDestroy(&boxa);
if (i == 0)
nbox = nb;
else if (nb != nbox)
return (BOXAA *)ERROR_PTR("boxa are not all the same size",
procName, NULL);
}
/* baad[i][j] = baas[j][i] */
baad = boxaaCreate(nbox);
for (i = 0; i < nbox; i++) {
boxa = boxaCreate(ny);
for (j = 0; j < ny; j++) {
box = boxaaGetBox(baas, j, i, L_COPY);
boxaAddBox(boxa, box, L_INSERT);
}
boxaaAddBoxa(baad, boxa, L_INSERT);
}
return baad;
}
/*!
* \brief boxaaAlignBox()
*
* \param[in] baa
* \param[in] box to be aligned with bext boxa in the baa, if possible
* \param[in] delta amount by which consecutive components can miss
* in overlap and still be included in the array
* \param[out] pindex index of boxa with best overlap, or if none match,
* this is the index of the next boxa to be generated
* \return 0 if OK, 1 on error
*
*
* Notes:
* (1) This is not greedy. It finds the boxa whose vertical
* extent has the closest overlap with the input box.
*
*/
l_ok
boxaaAlignBox(BOXAA *baa,
BOX *box,
l_int32 delta,
l_int32 *pindex)
{
l_int32 i, n, m, y, yt, h, ht, ovlp, maxovlp, maxindex;
BOX *boxt;
BOXA *boxa;
PROCNAME("boxaaAlignBox");
if (pindex) *pindex = 0;
if (!baa)
return ERROR_INT("baa not defined", procName, 1);
if (!box)
return ERROR_INT("box not defined", procName, 1);
if (!pindex)
return ERROR_INT("&index not defined", procName, 1);
n = boxaaGetCount(baa);
boxGetGeometry(box, NULL, &y, NULL, &h);
maxovlp = -10000000;
for (i = 0; i < n; i++) {
boxa = boxaaGetBoxa(baa, i, L_CLONE);
if ((m = boxaGetCount(boxa)) == 0) {
boxaDestroy(&boxa);
L_WARNING("no boxes in boxa\n", procName);
continue;
}
boxaGetExtent(boxa, NULL, NULL, &boxt);
boxGetGeometry(boxt, NULL, &yt, NULL, &ht);
boxDestroy(&boxt);
boxaDestroy(&boxa);
/* Overlap < 0 means the components do not overlap vertically */
if (yt >= y)
ovlp = y + h - 1 - yt;
else
ovlp = yt + ht - 1 - y;
if (ovlp > maxovlp) {
maxovlp = ovlp;
maxindex = i;
}
}
if (maxovlp + delta >= 0)
*pindex = maxindex;
else
*pindex = n;
return 0;
}