#include "allheaders.h"
extern l_float32 AlphaMaskBorderVals[2];
/*------------------------------------------------------------n
* Sampled projective image transformation *
*-------------------------------------------------------------*/
/*!
* \brief pixProjectiveSampledPta()
*
* \param[in] pixs all depths
* \param[in] ptad 4 pts of final coordinate space
* \param[in] ptas 4 pts of initial coordinate space
* \param[in] incolor L_BRING_IN_WHITE, L_BRING_IN_BLACK
* \return pixd, or NULL on error
*
*
* Notes:
* (1) Brings in either black or white pixels from the boundary.
* (2) Retains colormap, which you can do for a sampled transform..
* (3) No 3 of the 4 points may be collinear.
* (4) For 8 and 32 bpp pix, better quality is obtained by the
* somewhat slower pixProjectivePta(). See that
* function for relative timings between sampled and interpolated.
*
*/
PIX *
pixProjectiveSampledPta(PIX *pixs,
PTA *ptad,
PTA *ptas,
l_int32 incolor)
{
l_float32 *vc;
PIX *pixd;
PROCNAME("pixProjectiveSampledPta");
if (!pixs)
return (PIX *)ERROR_PTR("pixs not defined", procName, NULL);
if (!ptas)
return (PIX *)ERROR_PTR("ptas not defined", procName, NULL);
if (!ptad)
return (PIX *)ERROR_PTR("ptad not defined", procName, NULL);
if (incolor != L_BRING_IN_WHITE && incolor != L_BRING_IN_BLACK)
return (PIX *)ERROR_PTR("invalid incolor", procName, NULL);
if (ptaGetCount(ptas) != 4)
return (PIX *)ERROR_PTR("ptas count not 4", procName, NULL);
if (ptaGetCount(ptad) != 4)
return (PIX *)ERROR_PTR("ptad count not 4", procName, NULL);
/* Get backwards transform from dest to src, and apply it */
getProjectiveXformCoeffs(ptad, ptas, &vc);
pixd = pixProjectiveSampled(pixs, vc, incolor);
LEPT_FREE(vc);
return pixd;
}
/*!
* \brief pixProjectiveSampled()
*
* \param[in] pixs all depths
* \param[in] vc vector of 8 coefficients for projective transform
* \param[in] incolor L_BRING_IN_WHITE, L_BRING_IN_BLACK
* \return pixd, or NULL on error
*
*
* Notes:
* (1) Brings in either black or white pixels from the boundary.
* (2) Retains colormap, which you can do for a sampled transform..
* (3) For 8 or 32 bpp, much better quality is obtained by the
* somewhat slower pixProjective(). See that function
* for relative timings between sampled and interpolated.
*
*/
PIX *
pixProjectiveSampled(PIX *pixs,
l_float32 *vc,
l_int32 incolor)
{
l_int32 i, j, w, h, d, x, y, wpls, wpld, color, cmapindex;
l_uint32 val;
l_uint32 *datas, *datad, *lines, *lined;
PIX *pixd;
PIXCMAP *cmap;
PROCNAME("pixProjectiveSampled");
if (!pixs)
return (PIX *)ERROR_PTR("pixs not defined", procName, NULL);
if (!vc)
return (PIX *)ERROR_PTR("vc not defined", procName, NULL);
if (incolor != L_BRING_IN_WHITE && incolor != L_BRING_IN_BLACK)
return (PIX *)ERROR_PTR("invalid incolor", procName, NULL);
pixGetDimensions(pixs, &w, &h, &d);
if (d != 1 && d != 2 && d != 4 && d != 8 && d != 32)
return (PIX *)ERROR_PTR("depth not 1, 2, 4, 8 or 16", procName, NULL);
/* Init all dest pixels to color to be brought in from outside */
pixd = pixCreateTemplate(pixs);
if ((cmap = pixGetColormap(pixs)) != NULL) {
if (incolor == L_BRING_IN_WHITE)
color = 1;
else
color = 0;
pixcmapAddBlackOrWhite(cmap, color, &cmapindex);
pixSetAllArbitrary(pixd, cmapindex);
} else {
if ((d == 1 && incolor == L_BRING_IN_WHITE) ||
(d > 1 && incolor == L_BRING_IN_BLACK)) {
pixClearAll(pixd);
} else {
pixSetAll(pixd);
}
}
/* Scan over the dest pixels */
datas = pixGetData(pixs);
wpls = pixGetWpl(pixs);
datad = pixGetData(pixd);
wpld = pixGetWpl(pixd);
for (i = 0; i < h; i++) {
lined = datad + i * wpld;
for (j = 0; j < w; j++) {
projectiveXformSampledPt(vc, j, i, &x, &y);
if (x < 0 || y < 0 || x >=w || y >= h)
continue;
lines = datas + y * wpls;
if (d == 1) {
val = GET_DATA_BIT(lines, x);
SET_DATA_BIT_VAL(lined, j, val);
} else if (d == 8) {
val = GET_DATA_BYTE(lines, x);
SET_DATA_BYTE(lined, j, val);
} else if (d == 32) {
lined[j] = lines[x];
} else if (d == 2) {
val = GET_DATA_DIBIT(lines, x);
SET_DATA_DIBIT(lined, j, val);
} else if (d == 4) {
val = GET_DATA_QBIT(lines, x);
SET_DATA_QBIT(lined, j, val);
}
}
}
return pixd;
}
/*---------------------------------------------------------------------*
* Interpolated projective image transformation *
*---------------------------------------------------------------------*/
/*!
* \brief pixProjectivePta()
*
* \param[in] pixs all depths; colormap ok
* \param[in] ptad 4 pts of final coordinate space
* \param[in] ptas 4 pts of initial coordinate space
* \param[in] incolor L_BRING_IN_WHITE, L_BRING_IN_BLACK
* \return pixd, or NULL on error
*
*
* Notes:
* (1) Brings in either black or white pixels from the boundary
* (2) Removes any existing colormap, if necessary, before transforming
*
*/
PIX *
pixProjectivePta(PIX *pixs,
PTA *ptad,
PTA *ptas,
l_int32 incolor)
{
l_int32 d;
l_uint32 colorval;
PIX *pixt1, *pixt2, *pixd;
PROCNAME("pixProjectivePta");
if (!pixs)
return (PIX *)ERROR_PTR("pixs not defined", procName, NULL);
if (!ptas)
return (PIX *)ERROR_PTR("ptas not defined", procName, NULL);
if (!ptad)
return (PIX *)ERROR_PTR("ptad not defined", procName, NULL);
if (incolor != L_BRING_IN_WHITE && incolor != L_BRING_IN_BLACK)
return (PIX *)ERROR_PTR("invalid incolor", procName, NULL);
if (ptaGetCount(ptas) != 4)
return (PIX *)ERROR_PTR("ptas count not 4", procName, NULL);
if (ptaGetCount(ptad) != 4)
return (PIX *)ERROR_PTR("ptad count not 4", procName, NULL);
if (pixGetDepth(pixs) == 1)
return pixProjectiveSampledPta(pixs, ptad, ptas, incolor);
/* Remove cmap if it exists, and unpack to 8 bpp if necessary */
pixt1 = pixRemoveColormap(pixs, REMOVE_CMAP_BASED_ON_SRC);
d = pixGetDepth(pixt1);
if (d < 8)
pixt2 = pixConvertTo8(pixt1, FALSE);
else
pixt2 = pixClone(pixt1);
d = pixGetDepth(pixt2);
/* Compute actual color to bring in from edges */
colorval = 0;
if (incolor == L_BRING_IN_WHITE) {
if (d == 8)
colorval = 255;
else /* d == 32 */
colorval = 0xffffff00;
}
if (d == 8)
pixd = pixProjectivePtaGray(pixt2, ptad, ptas, colorval);
else /* d == 32 */
pixd = pixProjectivePtaColor(pixt2, ptad, ptas, colorval);
pixDestroy(&pixt1);
pixDestroy(&pixt2);
return pixd;
}
/*!
* \brief pixProjective()
*
* \param[in] pixs all depths; colormap ok
* \param[in] vc vector of 8 coefficients for projective transform
* \param[in] incolor L_BRING_IN_WHITE, L_BRING_IN_BLACK
* \return pixd, or NULL on error
*
*
* Notes:
* (1) Brings in either black or white pixels from the boundary
* (2) Removes any existing colormap, if necessary, before transforming
*
*/
PIX *
pixProjective(PIX *pixs,
l_float32 *vc,
l_int32 incolor)
{
l_int32 d;
l_uint32 colorval;
PIX *pixt1, *pixt2, *pixd;
PROCNAME("pixProjective");
if (!pixs)
return (PIX *)ERROR_PTR("pixs not defined", procName, NULL);
if (!vc)
return (PIX *)ERROR_PTR("vc not defined", procName, NULL);
if (pixGetDepth(pixs) == 1)
return pixProjectiveSampled(pixs, vc, incolor);
/* Remove cmap if it exists, and unpack to 8 bpp if necessary */
pixt1 = pixRemoveColormap(pixs, REMOVE_CMAP_BASED_ON_SRC);
d = pixGetDepth(pixt1);
if (d < 8)
pixt2 = pixConvertTo8(pixt1, FALSE);
else
pixt2 = pixClone(pixt1);
d = pixGetDepth(pixt2);
/* Compute actual color to bring in from edges */
colorval = 0;
if (incolor == L_BRING_IN_WHITE) {
if (d == 8)
colorval = 255;
else /* d == 32 */
colorval = 0xffffff00;
}
if (d == 8)
pixd = pixProjectiveGray(pixt2, vc, colorval);
else /* d == 32 */
pixd = pixProjectiveColor(pixt2, vc, colorval);
pixDestroy(&pixt1);
pixDestroy(&pixt2);
return pixd;
}
/*!
* \brief pixProjectivePtaColor()
*
* \param[in] pixs 32 bpp
* \param[in] ptad 4 pts of final coordinate space
* \param[in] ptas 4 pts of initial coordinate space
* \param[in] colorval e.g., 0 to bring in BLACK, 0xffffff00 for WHITE
* \return pixd, or NULL on error
*/
PIX *
pixProjectivePtaColor(PIX *pixs,
PTA *ptad,
PTA *ptas,
l_uint32 colorval)
{
l_float32 *vc;
PIX *pixd;
PROCNAME("pixProjectivePtaColor");
if (!pixs)
return (PIX *)ERROR_PTR("pixs not defined", procName, NULL);
if (!ptas)
return (PIX *)ERROR_PTR("ptas not defined", procName, NULL);
if (!ptad)
return (PIX *)ERROR_PTR("ptad not defined", procName, NULL);
if (pixGetDepth(pixs) != 32)
return (PIX *)ERROR_PTR("pixs must be 32 bpp", procName, NULL);
if (ptaGetCount(ptas) != 4)
return (PIX *)ERROR_PTR("ptas count not 4", procName, NULL);
if (ptaGetCount(ptad) != 4)
return (PIX *)ERROR_PTR("ptad count not 4", procName, NULL);
/* Get backwards transform from dest to src, and apply it */
getProjectiveXformCoeffs(ptad, ptas, &vc);
pixd = pixProjectiveColor(pixs, vc, colorval);
LEPT_FREE(vc);
return pixd;
}
/*!
* \brief pixProjectiveColor()
*
* \param[in] pixs 32 bpp
* \param[in] vc vector of 8 coefficients for projective transform
* \param[in] colorval e.g., 0 to bring in BLACK, 0xffffff00 for WHITE
* \return pixd, or NULL on error
*/
PIX *
pixProjectiveColor(PIX *pixs,
l_float32 *vc,
l_uint32 colorval)
{
l_int32 i, j, w, h, d, wpls, wpld;
l_uint32 val;
l_uint32 *datas, *datad, *lined;
l_float32 x, y;
PIX *pix1, *pix2, *pixd;
PROCNAME("pixProjectiveColor");
if (!pixs)
return (PIX *)ERROR_PTR("pixs not defined", procName, NULL);
pixGetDimensions(pixs, &w, &h, &d);
if (d != 32)
return (PIX *)ERROR_PTR("pixs must be 32 bpp", procName, NULL);
if (!vc)
return (PIX *)ERROR_PTR("vc not defined", procName, NULL);
datas = pixGetData(pixs);
wpls = pixGetWpl(pixs);
pixd = pixCreateTemplate(pixs);
pixSetAllArbitrary(pixd, colorval);
datad = pixGetData(pixd);
wpld = pixGetWpl(pixd);
/* Iterate over destination pixels */
for (i = 0; i < h; i++) {
lined = datad + i * wpld;
for (j = 0; j < w; j++) {
/* Compute float src pixel location corresponding to (i,j) */
projectiveXformPt(vc, j, i, &x, &y);
linearInterpolatePixelColor(datas, wpls, w, h, x, y, colorval,
&val);
*(lined + j) = val;
}
}
/* If rgba, transform the pixs alpha channel and insert in pixd */
if (pixGetSpp(pixs) == 4) {
pix1 = pixGetRGBComponent(pixs, L_ALPHA_CHANNEL);
pix2 = pixProjectiveGray(pix1, vc, 255); /* bring in opaque */
pixSetRGBComponent(pixd, pix2, L_ALPHA_CHANNEL);
pixDestroy(&pix1);
pixDestroy(&pix2);
}
return pixd;
}
/*!
* \brief pixProjectivePtaGray()
*
* \param[in] pixs 8 bpp
* \param[in] ptad 4 pts of final coordinate space
* \param[in] ptas 4 pts of initial coordinate space
* \param[in] grayval 0 to bring in BLACK, 255 for WHITE
* \return pixd, or NULL on error
*/
PIX *
pixProjectivePtaGray(PIX *pixs,
PTA *ptad,
PTA *ptas,
l_uint8 grayval)
{
l_float32 *vc;
PIX *pixd;
PROCNAME("pixProjectivePtaGray");
if (!pixs)
return (PIX *)ERROR_PTR("pixs not defined", procName, NULL);
if (!ptas)
return (PIX *)ERROR_PTR("ptas not defined", procName, NULL);
if (!ptad)
return (PIX *)ERROR_PTR("ptad not defined", procName, NULL);
if (pixGetDepth(pixs) != 8)
return (PIX *)ERROR_PTR("pixs must be 8 bpp", procName, NULL);
if (ptaGetCount(ptas) != 4)
return (PIX *)ERROR_PTR("ptas count not 4", procName, NULL);
if (ptaGetCount(ptad) != 4)
return (PIX *)ERROR_PTR("ptad count not 4", procName, NULL);
/* Get backwards transform from dest to src, and apply it */
getProjectiveXformCoeffs(ptad, ptas, &vc);
pixd = pixProjectiveGray(pixs, vc, grayval);
LEPT_FREE(vc);
return pixd;
}
/*!
* \brief pixProjectiveGray()
*
* \param[in] pixs 8 bpp
* \param[in] vc vector of 8 coefficients for projective transform
* \param[in] grayval 0 to bring in BLACK, 255 for WHITE
* \return pixd, or NULL on error
*/
PIX *
pixProjectiveGray(PIX *pixs,
l_float32 *vc,
l_uint8 grayval)
{
l_int32 i, j, w, h, wpls, wpld, val;
l_uint32 *datas, *datad, *lined;
l_float32 x, y;
PIX *pixd;
PROCNAME("pixProjectiveGray");
if (!pixs)
return (PIX *)ERROR_PTR("pixs not defined", procName, NULL);
pixGetDimensions(pixs, &w, &h, NULL);
if (pixGetDepth(pixs) != 8)
return (PIX *)ERROR_PTR("pixs must be 8 bpp", procName, NULL);
if (!vc)
return (PIX *)ERROR_PTR("vc not defined", procName, NULL);
datas = pixGetData(pixs);
wpls = pixGetWpl(pixs);
pixd = pixCreateTemplate(pixs);
pixSetAllArbitrary(pixd, grayval);
datad = pixGetData(pixd);
wpld = pixGetWpl(pixd);
/* Iterate over destination pixels */
for (i = 0; i < h; i++) {
lined = datad + i * wpld;
for (j = 0; j < w; j++) {
/* Compute float src pixel location corresponding to (i,j) */
projectiveXformPt(vc, j, i, &x, &y);
linearInterpolatePixelGray(datas, wpls, w, h, x, y, grayval, &val);
SET_DATA_BYTE(lined, j, val);
}
}
return pixd;
}
/*---------------------------------------------------------------------------*
* Projective transform including alpha (blend) component *
*---------------------------------------------------------------------------*/
/*!
* \brief pixProjectivePtaWithAlpha()
*
* \param[in] pixs 32 bpp rgb
* \param[in] ptad 4 pts of final coordinate space
* \param[in] ptas 4 pts of initial coordinate space
* \param[in] pixg [optional] 8 bpp, for alpha channel, can be null
* \param[in] fract between 0.0 and 1.0, with 0.0 fully transparent
* and 1.0 fully opaque
* \param[in] border of pixels added to capture transformed source pixels
* \return pixd, or NULL on error
*
*
* Notes:
* (1) The alpha channel is transformed separately from pixs,
* and aligns with it, being fully transparent outside the
* boundary of the transformed pixs. For pixels that are fully
* transparent, a blending function like pixBlendWithGrayMask()
* will give zero weight to corresponding pixels in pixs.
* (2) If pixg is NULL, it is generated as an alpha layer that is
* partially opaque, using %fract. Otherwise, it is cropped
* to pixs if required and %fract is ignored. The alpha channel
* in pixs is never used.
* (3) Colormaps are removed.
* (4) When pixs is transformed, it doesn't matter what color is brought
* in because the alpha channel will be transparent (0) there.
* (5) To avoid losing source pixels in the destination, it may be
* necessary to add a border to the source pix before doing
* the projective transformation. This can be any non-negative
* number.
* (6) The input %ptad and %ptas are in a coordinate space before
* the border is added. Internally, we compensate for this
* before doing the projective transform on the image after
* the border is added.
* (7) The default setting for the border values in the alpha channel
* is 0 (transparent) for the outermost ring of pixels and
* (0.5 * fract * 255) for the second ring. When blended over
* a second image, this
* (a) shrinks the visible image to make a clean overlap edge
* with an image below, and
* (b) softens the edges by weakening the aliasing there.
* Use l_setAlphaMaskBorder() to change these values.
*
*/
PIX *
pixProjectivePtaWithAlpha(PIX *pixs,
PTA *ptad,
PTA *ptas,
PIX *pixg,
l_float32 fract,
l_int32 border)
{
l_int32 ws, hs, d;
PIX *pixd, *pixb1, *pixb2, *pixg2, *pixga;
PTA *ptad2, *ptas2;
PROCNAME("pixProjectivePtaWithAlpha");
if (!pixs)
return (PIX *)ERROR_PTR("pixs not defined", procName, NULL);
pixGetDimensions(pixs, &ws, &hs, &d);
if (d != 32 && pixGetColormap(pixs) == NULL)
return (PIX *)ERROR_PTR("pixs not cmapped or 32 bpp", procName, NULL);
if (pixg && pixGetDepth(pixg) != 8) {
L_WARNING("pixg not 8 bpp; using 'fract' transparent alpha\n",
procName);
pixg = NULL;
}
if (!pixg && (fract < 0.0 || fract > 1.0)) {
L_WARNING("invalid fract; using 1.0 (fully transparent)\n", procName);
fract = 1.0;
}
if (!pixg && fract == 0.0)
L_WARNING("fully opaque alpha; image will not be blended\n", procName);
if (!ptad)
return (PIX *)ERROR_PTR("ptad not defined", procName, NULL);
if (!ptas)
return (PIX *)ERROR_PTR("ptas not defined", procName, NULL);
/* Add border; the color doesn't matter */
pixb1 = pixAddBorder(pixs, border, 0);
/* Transform the ptr arrays to work on the bordered image */
ptad2 = ptaTransform(ptad, border, border, 1.0, 1.0);
ptas2 = ptaTransform(ptas, border, border, 1.0, 1.0);
/* Do separate projective transform of rgb channels of pixs
* and of pixg */
pixd = pixProjectivePtaColor(pixb1, ptad2, ptas2, 0);
if (!pixg) {
pixg2 = pixCreate(ws, hs, 8);
if (fract == 1.0)
pixSetAll(pixg2);
else
pixSetAllArbitrary(pixg2, (l_int32)(255.0 * fract));
} else {
pixg2 = pixResizeToMatch(pixg, NULL, ws, hs);
}
if (ws > 10 && hs > 10) { /* see note 7 */
pixSetBorderRingVal(pixg2, 1,
(l_int32)(255.0 * fract * AlphaMaskBorderVals[0]));
pixSetBorderRingVal(pixg2, 2,
(l_int32)(255.0 * fract * AlphaMaskBorderVals[1]));
}
pixb2 = pixAddBorder(pixg2, border, 0); /* must be black border */
pixga = pixProjectivePtaGray(pixb2, ptad2, ptas2, 0);
pixSetRGBComponent(pixd, pixga, L_ALPHA_CHANNEL);
pixSetSpp(pixd, 4);
pixDestroy(&pixg2);
pixDestroy(&pixb1);
pixDestroy(&pixb2);
pixDestroy(&pixga);
ptaDestroy(&ptad2);
ptaDestroy(&ptas2);
return pixd;
}
/*-------------------------------------------------------------*
* Projective coordinate transformation *
*-------------------------------------------------------------*/
/*!
* \brief getProjectiveXformCoeffs()
*
* \param[in] ptas source 4 points; unprimed
* \param[in] ptad transformed 4 points; primed
* \param[out] pvc vector of coefficients of transform
* \return 0 if OK; 1 on error
*
* We have a set of 8 equations, describing the projective
* transformation that takes 4 points ptas into 4 other
* points ptad. These equations are:
*
* x1' = c[0]*x1 + c[1]*y1 + c[2]) / (c[6]*x1 + c[7]*y1 + 1
* y1' = c[3]*x1 + c[4]*y1 + c[5]) / (c[6]*x1 + c[7]*y1 + 1
* x2' = c[0]*x2 + c[1]*y2 + c[2]) / (c[6]*x2 + c[7]*y2 + 1
* y2' = c[3]*x2 + c[4]*y2 + c[5]) / (c[6]*x2 + c[7]*y2 + 1
* x3' = c[0]*x3 + c[1]*y3 + c[2]) / (c[6]*x3 + c[7]*y3 + 1
* y3' = c[3]*x3 + c[4]*y3 + c[5]) / (c[6]*x3 + c[7]*y3 + 1
* x4' = c[0]*x4 + c[1]*y4 + c[2]) / (c[6]*x4 + c[7]*y4 + 1
* y4' = c[3]*x4 + c[4]*y4 + c[5]) / (c[6]*x4 + c[7]*y4 + 1
*
* Multiplying both sides of each eqn by the denominator, we get
*
* AC = B
*
* where B and C are column vectors
*
* B = [ x1' y1' x2' y2' x3' y3' x4' y4' ]
* C = [ c[0] c[1] c[2] c[3] c[4] c[5] c[6] c[7] ]
*
* and A is the 8x8 matrix
*
* x1 y1 1 0 0 0 -x1*x1' -y1*x1'
* 0 0 0 x1 y1 1 -x1*y1' -y1*y1'
* x2 y2 1 0 0 0 -x2*x2' -y2*x2'
* 0 0 0 x2 y2 1 -x2*y2' -y2*y2'
* x3 y3 1 0 0 0 -x3*x3' -y3*x3'
* 0 0 0 x3 y3 1 -x3*y3' -y3*y3'
* x4 y4 1 0 0 0 -x4*x4' -y4*x4'
* 0 0 0 x4 y4 1 -x4*y4' -y4*y4'
*
* These eight equations are solved here for the coefficients C.
*
* These eight coefficients can then be used to find the mapping
* x,y) --> (x',y':
*
* x' = c[0]x + c[1]y + c[2]) / (c[6]x + c[7]y + 1
* y' = c[3]x + c[4]y + c[5]) / (c[6]x + c[7]y + 1
*
* that is implemented in projectiveXformSampled and
* projectiveXFormInterpolated.
*/
l_ok
getProjectiveXformCoeffs(PTA *ptas,
PTA *ptad,
l_float32 **pvc)
{
l_int32 i;
l_float32 x1, y1, x2, y2, x3, y3, x4, y4;
l_float32 *b; /* rhs vector of primed coords X'; coeffs returned in *pvc */
l_float32 *a[8]; /* 8x8 matrix A */
PROCNAME("getProjectiveXformCoeffs");
if (!ptas)
return ERROR_INT("ptas not defined", procName, 1);
if (!ptad)
return ERROR_INT("ptad not defined", procName, 1);
if (!pvc)
return ERROR_INT("&vc not defined", procName, 1);
b = (l_float32 *)LEPT_CALLOC(8, sizeof(l_float32));
*pvc = b;
ptaGetPt(ptas, 0, &x1, &y1);
ptaGetPt(ptas, 1, &x2, &y2);
ptaGetPt(ptas, 2, &x3, &y3);
ptaGetPt(ptas, 3, &x4, &y4);
ptaGetPt(ptad, 0, &b[0], &b[1]);
ptaGetPt(ptad, 1, &b[2], &b[3]);
ptaGetPt(ptad, 2, &b[4], &b[5]);
ptaGetPt(ptad, 3, &b[6], &b[7]);
for (i = 0; i < 8; i++)
a[i] = (l_float32 *)LEPT_CALLOC(8, sizeof(l_float32));
a[0][0] = x1;
a[0][1] = y1;
a[0][2] = 1.;
a[0][6] = -x1 * b[0];
a[0][7] = -y1 * b[0];
a[1][3] = x1;
a[1][4] = y1;
a[1][5] = 1;
a[1][6] = -x1 * b[1];
a[1][7] = -y1 * b[1];
a[2][0] = x2;
a[2][1] = y2;
a[2][2] = 1.;
a[2][6] = -x2 * b[2];
a[2][7] = -y2 * b[2];
a[3][3] = x2;
a[3][4] = y2;
a[3][5] = 1;
a[3][6] = -x2 * b[3];
a[3][7] = -y2 * b[3];
a[4][0] = x3;
a[4][1] = y3;
a[4][2] = 1.;
a[4][6] = -x3 * b[4];
a[4][7] = -y3 * b[4];
a[5][3] = x3;
a[5][4] = y3;
a[5][5] = 1;
a[5][6] = -x3 * b[5];
a[5][7] = -y3 * b[5];
a[6][0] = x4;
a[6][1] = y4;
a[6][2] = 1.;
a[6][6] = -x4 * b[6];
a[6][7] = -y4 * b[6];
a[7][3] = x4;
a[7][4] = y4;
a[7][5] = 1;
a[7][6] = -x4 * b[7];
a[7][7] = -y4 * b[7];
gaussjordan(a, b, 8);
for (i = 0; i < 8; i++)
LEPT_FREE(a[i]);
return 0;
}
/*!
* \brief projectiveXformSampledPt()
*
* \param[in] vc vector of 8 coefficients
* \param[in] x, y initial point
* \param[out] pxp, pyp transformed point
* \return 0 if OK; 1 on error
*
*
* Notes:
* (1) This finds the nearest pixel coordinates of the transformed point.
* (2) It does not check ptrs for returned data!
*
*/
l_ok
projectiveXformSampledPt(l_float32 *vc,
l_int32 x,
l_int32 y,
l_int32 *pxp,
l_int32 *pyp)
{
l_float32 factor;
l_float64 denom;
PROCNAME("projectiveXformSampledPt");
if (!vc)
return ERROR_INT("vc not defined", procName, 1);
if ((denom = vc[6] * x + vc[7] * y + 1.0) == 0.0)
return ERROR_INT("denom = 0.0", procName, 1);
factor = 1.0 / denom;
*pxp = (l_int32)(factor * (vc[0] * x + vc[1] * y + vc[2]) + 0.5);
*pyp = (l_int32)(factor * (vc[3] * x + vc[4] * y + vc[5]) + 0.5);
return 0;
}
/*!
* \brief projectiveXformPt()
*
* \param[in] vc vector of 8 coefficients
* \param[in] x, y initial point
* \param[out] pxp, pyp transformed point
* \return 0 if OK; 1 on error
*
*
* Notes:
* (1) This computes the floating point location of the transformed point.
* (2) It does not check ptrs for returned data!
*
*/
l_ok
projectiveXformPt(l_float32 *vc,
l_int32 x,
l_int32 y,
l_float32 *pxp,
l_float32 *pyp)
{
l_float32 factor;
l_float64 denom;
PROCNAME("projectiveXformPt");
if (!vc)
return ERROR_INT("vc not defined", procName, 1);
if ((denom = vc[6] * x + vc[7] * y + 1.0) == 0.0)
return ERROR_INT("denom = 0.0", procName, 1);
factor = 1.0 / denom;
*pxp = factor * (vc[0] * x + vc[1] * y + vc[2]);
*pyp = factor * (vc[3] * x + vc[4] * y + vc[5]);
return 0;
}