Example #1
0
/*!
 *  pixMorphCompSequence()
 *
 *      Input:  pixs
 *              sequence (string specifying sequence)
 *              dispsep (horizontal separation in pixels between
 *                       successive displays; use zero to suppress display)
 *      Return: pixd, or null on error
 *
 *  Notes:
 *      (1) This does rasterop morphology on binary images, using composite
 *          operations for extra speed on large Sels.
 *      (2) Safe closing is used atomically.  However, if you implement a
 *          closing as a sequence with a dilation followed by an
 *          erosion, it will not be safe, and to ensure that you have
 *          no boundary effects you must add a border in advance and
 *          remove it at the end.
 *      (3) For other usage details, see the notes for pixMorphSequence().
 *      (4) The sequence string is formatted as follows:
 *            - An arbitrary number of operations,  each separated
 *              by a '+' character.  White space is ignored.
 *            - Each operation begins with a case-independent character
 *              specifying the operation:
 *                 d or D  (dilation)
 *                 e or E  (erosion)
 *                 o or O  (opening)
 *                 c or C  (closing)
 *                 r or R  (rank binary reduction)
 *                 x or X  (replicative binary expansion)
 *                 b or B  (add a border of 0 pixels of this size)
 *            - The args to the morphological operations are bricks of hits,
 *              and are formatted as a.b, where a and b are horizontal and
 *              vertical dimensions, rsp.
 *            - The args to the reduction are a sequence of up to 4 integers,
 *              each from 1 to 4.
 *            - The arg to the expansion is a power of two, in the set
 *              {2, 4, 8, 16}.
 */
PIX *
pixMorphCompSequence(PIX         *pixs,
                     const char  *sequence,
                     l_int32      dispsep)
{
char    *rawop, *op;
l_int32  nops, i, j, nred, fact, w, h, x, y, border;
l_int32  level[4];
PIX     *pixt1, *pixt2;
SARRAY  *sa;

    PROCNAME("pixMorphCompSequence");

    if (!pixs)
        return (PIX *)ERROR_PTR("pixs not defined", procName, NULL);
    if (!sequence)
        return (PIX *)ERROR_PTR("sequence not defined", procName, NULL);

        /* Split sequence into individual operations */
    sa = sarrayCreate(0);
    sarraySplitString(sa, sequence, "+");
    nops = sarrayGetCount(sa);

    if (!morphSequenceVerify(sa)) {
        sarrayDestroy(&sa);
        return (PIX *)ERROR_PTR("sequence not valid", procName, NULL);
    }

        /* Parse and operate */
    border = 0;
    pixt1 = pixCopy(NULL, pixs);
    pixt2 = NULL;
    x = y = 0;
    for (i = 0; i < nops; i++) {
        rawop = sarrayGetString(sa, i, 0);
        op = stringRemoveChars(rawop, " \n\t");
        switch (op[0])
        {
        case 'd':
        case 'D':
            sscanf(&op[1], "%d.%d", &w, &h);
            pixt2 = pixDilateCompBrick(NULL, pixt1, w, h);
            pixDestroy(&pixt1);
            pixt1 = pixClone(pixt2);
            pixDestroy(&pixt2);
            if (dispsep > 0) {
                pixDisplay(pixt1, x, y);
                x += dispsep;
            }
            break;
        case 'e':
        case 'E':
            sscanf(&op[1], "%d.%d", &w, &h);
            pixt2 = pixErodeCompBrick(NULL, pixt1, w, h);
            pixDestroy(&pixt1);
            pixt1 = pixClone(pixt2);
            pixDestroy(&pixt2);
            if (dispsep > 0) {
                pixDisplay(pixt1, x, y);
                x += dispsep;
            }
            break;
        case 'o':
        case 'O':
            sscanf(&op[1], "%d.%d", &w, &h);
            pixOpenCompBrick(pixt1, pixt1, w, h);
            if (dispsep > 0) {
                pixDisplay(pixt1, x, y);
                x += dispsep;
            }
            break;
        case 'c':
        case 'C':
            sscanf(&op[1], "%d.%d", &w, &h);
            pixCloseSafeCompBrick(pixt1, pixt1, w, h);
            if (dispsep > 0) {
                pixDisplay(pixt1, x, y);
                x += dispsep;
            }
            break;
        case 'r':
        case 'R':
            nred = strlen(op) - 1;
            for (j = 0; j < nred; j++)
                level[j] = op[j + 1] - '0';
            for (j = nred; j < 4; j++)
                level[j] = 0;
            pixt2 = pixReduceRankBinaryCascade(pixt1, level[0], level[1],
                                               level[2], level[3]);
            pixDestroy(&pixt1);
            pixt1 = pixClone(pixt2);
            pixDestroy(&pixt2);
            if (dispsep > 0) {
                pixDisplay(pixt1, x, y);
                x += dispsep;
            }
            break;
        case 'x':
        case 'X':
            sscanf(&op[1], "%d", &fact);
            pixt2 = pixExpandReplicate(pixt1, fact);
            pixDestroy(&pixt1);
            pixt1 = pixClone(pixt2);
            pixDestroy(&pixt2);
            if (dispsep > 0) {
                pixDisplay(pixt1, x, y);
                x += dispsep;
            }
            break;
        case 'b':
        case 'B':
            sscanf(&op[1], "%d", &border);
            pixt2 = pixAddBorder(pixt1, border, 0);
            pixDestroy(&pixt1);
            pixt1 = pixClone(pixt2);
            pixDestroy(&pixt2);
            if (dispsep > 0) {
                pixDisplay(pixt1, x, y);
                x += dispsep;
            }
            break;
        default:
            /* All invalid ops are caught in the first pass */
            break;
        }
        FREE(op);
    }
    if (border > 0) {
        pixt2 = pixRemoveBorder(pixt1, border);
        pixDestroy(&pixt1);
        pixt1 = pixClone(pixt2);
        pixDestroy(&pixt2);
    }

    sarrayDestroy(&sa);
    return pixt1;
}
Example #2
0
l_int32
DoComparisonDwa1(L_REGPARAMS  *rp,
                 PIX          *pixs,
                 PIX          *pix1,
                 PIX          *pix2,
                 PIX          *pix3,
                 PIX          *pix4,
                 PIX          *pix5,
                 PIX          *pix6,
                 l_int32       isize)
{
l_int32   fact1, fact2, size;

    selectComposableSizes(isize, &fact1, &fact2);
    size = fact1 * fact2;

    fprintf(stderr, "..%d..", size);

    if (TIMING) startTimer();
    pixDilateCompBrickExtendDwa(pix1, pixs, size, 1);
    pixDilateCompBrickExtendDwa(pix3, pixs, 1, size);
    pixDilateCompBrickExtendDwa(pix5, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Dwa: %7.3f sec\n", stopTimer());
    if (TIMING) startTimer();
    pixDilateCompBrick(pix2, pixs, size, 1);
    pixDilateCompBrick(pix4, pixs, 1, size);
    pixDilateCompBrick(pix6, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Rop: %7.3f sec\n", stopTimer());
    PixCompareDwa(rp, size, "dilate", pix1, pix2, pix3, pix4, pix5, pix6);

    if (TIMING) startTimer();
    pixErodeCompBrickExtendDwa(pix1, pixs, size, 1);
    pixErodeCompBrickExtendDwa(pix3, pixs, 1, size);
    pixErodeCompBrickExtendDwa(pix5, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Dwa: %7.3f sec\n", stopTimer());
    if (TIMING) startTimer();
    pixErodeCompBrick(pix2, pixs, size, 1);
    pixErodeCompBrick(pix4, pixs, 1, size);
    pixErodeCompBrick(pix6, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Rop: %7.3f sec\n", stopTimer());
    PixCompareDwa(rp, size, "erode", pix1, pix2, pix3, pix4, pix5, pix6);

    if (TIMING) startTimer();
    pixOpenCompBrickExtendDwa(pix1, pixs, size, 1);
    pixOpenCompBrickExtendDwa(pix3, pixs, 1, size);
    pixOpenCompBrickExtendDwa(pix5, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Dwa: %7.3f sec\n", stopTimer());
    if (TIMING) startTimer();
    pixOpenCompBrick(pix2, pixs, size, 1);
    pixOpenCompBrick(pix4, pixs, 1, size);
    pixOpenCompBrick(pix6, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Rop: %7.3f sec\n", stopTimer());
    PixCompareDwa(rp, size, "open", pix1, pix2, pix3, pix4, pix5, pix6);

    if (TIMING) startTimer();
    pixCloseCompBrickExtendDwa(pix1, pixs, size, 1);
    pixCloseCompBrickExtendDwa(pix3, pixs, 1, size);
    pixCloseCompBrickExtendDwa(pix5, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Dwa: %7.3f sec\n", stopTimer());
    if (TIMING) startTimer();
    pixCloseSafeCompBrick(pix2, pixs, size, 1);
    pixCloseSafeCompBrick(pix4, pixs, 1, size);
    pixCloseSafeCompBrick(pix6, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Rop: %7.3f sec\n", stopTimer());
    PixCompareDwa(rp, size, "close", pix1, pix2, pix3, pix4, pix5, pix6);

    return 0;
}
Example #3
0
l_int32
DoComparisonDwa1(PIX     *pixs,
                 PIX     *pixt1,
                 PIX     *pixt2,
                 PIX     *pixt3,
                 PIX     *pixt4,
                 PIX     *pixt5,
                 PIX     *pixt6,
                 l_int32  isize)
{
l_int32   fact1, fact2, size;

    selectComposableSizes(isize, &fact1, &fact2);
    size = fact1 * fact2;
    
    fprintf(stderr, "..%d..", size);

    if (TIMING) startTimer();
    pixDilateCompBrickExtendDwa(pixt1, pixs, size, 1);
    pixDilateCompBrickExtendDwa(pixt3, pixs, 1, size);
    pixDilateCompBrickExtendDwa(pixt5, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Dwa: %7.3f sec\n", stopTimer());
    if (TIMING) startTimer();
    pixDilateCompBrick(pixt2, pixs, size, 1);
    pixDilateCompBrick(pixt4, pixs, 1, size);
    pixDilateCompBrick(pixt6, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Rop: %7.3f sec\n", stopTimer());
    PixCompareDwa(size, "dilate", pixt1, pixt2, pixt3, pixt4, pixt5, pixt6);

    if (TIMING) startTimer();
    pixErodeCompBrickExtendDwa(pixt1, pixs, size, 1);
    pixErodeCompBrickExtendDwa(pixt3, pixs, 1, size);
    pixErodeCompBrickExtendDwa(pixt5, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Dwa: %7.3f sec\n", stopTimer());
    if (TIMING) startTimer();
    pixErodeCompBrick(pixt2, pixs, size, 1);
    pixErodeCompBrick(pixt4, pixs, 1, size);
    pixErodeCompBrick(pixt6, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Rop: %7.3f sec\n", stopTimer());
    PixCompareDwa(size, "erode", pixt1, pixt2, pixt3, pixt4, pixt5, pixt6);

    if (TIMING) startTimer();
    pixOpenCompBrickExtendDwa(pixt1, pixs, size, 1);
    pixOpenCompBrickExtendDwa(pixt3, pixs, 1, size);
    pixOpenCompBrickExtendDwa(pixt5, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Dwa: %7.3f sec\n", stopTimer());
    if (TIMING) startTimer();
    pixOpenCompBrick(pixt2, pixs, size, 1);
    pixOpenCompBrick(pixt4, pixs, 1, size);
    pixOpenCompBrick(pixt6, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Rop: %7.3f sec\n", stopTimer());
    PixCompareDwa(size, "open", pixt1, pixt2, pixt3, pixt4, pixt5, pixt6);

    if (TIMING) startTimer();
    pixCloseCompBrickExtendDwa(pixt1, pixs, size, 1);
    pixCloseCompBrickExtendDwa(pixt3, pixs, 1, size);
    pixCloseCompBrickExtendDwa(pixt5, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Dwa: %7.3f sec\n", stopTimer());
    if (TIMING) startTimer();
    pixCloseSafeCompBrick(pixt2, pixs, size, 1);
    pixCloseSafeCompBrick(pixt4, pixs, 1, size);
    pixCloseSafeCompBrick(pixt6, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Rop: %7.3f sec\n", stopTimer());
    PixCompareDwa(size, "close", pixt1, pixt2, pixt3, pixt4, pixt5, pixt6);

#if 0
    pixWrite("/tmp/junkpixt3.png", pixt3, IFF_PNG);
    pixWrite("/tmp/junkpixt4.png", pixt4, IFF_PNG);
    pixXor(pixt3, pixt3, pixt4);
    pixWrite("/tmp/junkxor.png", pixt3, IFF_PNG);
#endif

    return 0;
}
Example #4
0
/* dwa composite with morph composite */
l_int32
DoComparisonDwa4(PIX *pixs,
                 PIX *pixt1,
                 PIX *pixt2,
                 PIX *pixt3,
                 PIX *pixt4,
                 PIX *pixt5,
                 PIX *pixt6,
                 l_int32 isize) {
    l_int32 fact1, fact2, size;

    selectComposableSizes(isize, &fact1, &fact2);
    size = fact1 * fact2;

    fprintf(stderr, "..%d..", size);

    if (TIMING) startTimer();
    pixDilateCompBrickDwa(pixt1, pixs, size, 1);
    pixDilateCompBrickDwa(pixt3, pixs, 1, size);
    pixDilateCompBrickDwa(pixt5, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Dwa: %7.3f sec\n", stopTimer());
    if (TIMING) startTimer();
    pixDilateCompBrick(pixt2, pixs, size, 1);
    pixDilateCompBrick(pixt4, pixs, 1, size);
    pixDilateCompBrick(pixt6, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Rop: %7.3f sec\n", stopTimer());
    PixCompareDwa(size, "dilate", pixt1, pixt2, pixt3, pixt4, pixt5, pixt6);

/*    pixDisplay(pixt1, 100, 100); */
/*    pixDisplay(pixt2, 800, 100); */

    if (TIMING) startTimer();
    pixErodeCompBrickDwa(pixt1, pixs, size, 1);
    pixErodeCompBrickDwa(pixt3, pixs, 1, size);
    pixErodeCompBrickDwa(pixt5, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Dwa: %7.3f sec\n", stopTimer());
    if (TIMING) startTimer();
    pixErodeCompBrick(pixt2, pixs, size, 1);
    pixErodeCompBrick(pixt4, pixs, 1, size);
    pixErodeCompBrick(pixt6, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Rop: %7.3f sec\n", stopTimer());
    PixCompareDwa(size, "erode", pixt1, pixt2, pixt3, pixt4, pixt5, pixt6);

    if (TIMING) startTimer();
    pixOpenCompBrickDwa(pixt1, pixs, size, 1);
    pixOpenCompBrickDwa(pixt3, pixs, 1, size);
    pixOpenCompBrickDwa(pixt5, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Dwa: %7.3f sec\n", stopTimer());
    if (TIMING) startTimer();
    pixOpenCompBrick(pixt2, pixs, size, 1);
    pixOpenCompBrick(pixt4, pixs, 1, size);
    pixOpenCompBrick(pixt6, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Rop: %7.3f sec\n", stopTimer());
    PixCompareDwa(size, "open", pixt1, pixt2, pixt3, pixt4, pixt5, pixt6);

/*    pixDisplay(pixt1, 100, 100);   */
/*    pixDisplay(pixt2, 800, 100);   */
/*    pixWrite("/tmp/junkpixt1.png", pixt1, IFF_PNG);  */
/*    pixWrite("/tmp/junkpixt2.png", pixt2, IFF_PNG);  */

    if (TIMING) startTimer();
    pixCloseCompBrickDwa(pixt1, pixs, size, 1);
    pixCloseCompBrickDwa(pixt3, pixs, 1, size);
    pixCloseCompBrickDwa(pixt5, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Dwa: %7.3f sec\n", stopTimer());
    if (TIMING) startTimer();
    pixCloseSafeCompBrick(pixt2, pixs, size, 1);
    pixCloseSafeCompBrick(pixt4, pixs, 1, size);
    pixCloseSafeCompBrick(pixt6, pixs, size, size);
    if (TIMING) fprintf(stderr, "Time Rop: %7.3f sec\n", stopTimer());
    PixCompareDwa(size, "close", pixt1, pixt2, pixt3, pixt4, pixt5, pixt6);

    return 0;
}
Example #5
0
int main(int    argc,
         char **argv)
{
char        *selname;
l_int32      i, j, nsels, sx, sy;
l_float32    fact, time;
GPLOT       *gplot;
NUMA        *na1, *na2, *na3, *na4, *nac1, *nac2, *nac3, *nac4, *nax;
PIX         *pixs, *pixt;
PIXA        *pixa;
SEL         *sel;
SELA        *selalinear;
static char  mainName[] = "dwamorph2_reg";

    if (argc != 1)
        return ERROR_INT(" Syntax: dwamorph2_reg", mainName, 1);

    pixs = pixRead("feyn-fract.tif");
    pixt = pixCreateTemplate(pixs);
    selalinear = selaAddDwaLinear(NULL);
    nsels = selaGetCount(selalinear);

    fact = 1000. / (l_float32)NTIMES;  /* converts to time in msec */
    na1 = numaCreate(64);
    na2 = numaCreate(64);
    na3 = numaCreate(64);
    na4 = numaCreate(64);

    lept_mkdir("lept/morph");

        /*  ---------  dilation  ----------*/

    for (i = 0; i < nsels / 2; i++)
    {
        sel = selaGetSel(selalinear, i);
        selGetParameters(sel, &sy, &sx, NULL, NULL);
        selname = selGetName(sel);
        fprintf(stderr, " %d .", i);

        startTimer();
        for (j = 0; j < NTIMES; j++)
            pixDilate(pixt, pixs, sel);
        time = fact * stopTimer();
        numaAddNumber(na1, time);

        startTimer();
        for (j = 0; j < NTIMES; j++)
            pixDilateCompBrick(pixt, pixs, sx, sy);
        time = fact * stopTimer();
        numaAddNumber(na2, time);

        startTimer();
        for (j = 0; j < NTIMES; j++)
            pixMorphDwa_3(pixt, pixs, L_MORPH_DILATE, selname);
        time = fact * stopTimer();
        numaAddNumber(na3, time);

        startTimer();
        for (j = 0; j < NTIMES; j++)
            pixDilateCompBrickDwa(pixt, pixs, sx, sy);
        time = fact * stopTimer();
        numaAddNumber(na4, time);
    }

    nax = numaMakeSequence(2, 1, nsels / 2);
    nac1 = numaWindowedMean(na1, HALFWIDTH);
    nac2 = numaWindowedMean(na2, HALFWIDTH);
    nac3 = numaWindowedMean(na3, HALFWIDTH);
    nac4 = numaWindowedMean(na4, HALFWIDTH);
    gplot = gplotCreate("/tmp/lept/morph/dilate", GPLOT_PNG,
                        "Dilation time vs sel size", "size", "time (ms)");
    gplotAddPlot(gplot, nax, nac1, GPLOT_LINES, "linear rasterop");
    gplotAddPlot(gplot, nax, nac2, GPLOT_LINES, "composite rasterop");
    gplotAddPlot(gplot, nax, nac3, GPLOT_LINES, "linear dwa");
    gplotAddPlot(gplot, nax, nac4, GPLOT_LINES, "composite dwa");
    gplotMakeOutput(gplot);
    gplotDestroy(&gplot);
    numaDestroy(&nac1);
    numaDestroy(&nac2);
    numaDestroy(&nac3);
    numaDestroy(&nac4);

        /*  ---------  erosion  ----------*/

    numaEmpty(na1);
    numaEmpty(na2);
    numaEmpty(na3);
    numaEmpty(na4);
    for (i = 0; i < nsels / 2; i++)
    {
        sel = selaGetSel(selalinear, i);
        selGetParameters(sel, &sy, &sx, NULL, NULL);
        selname = selGetName(sel);
        fprintf(stderr, " %d .", i);

        startTimer();
        for (j = 0; j < NTIMES; j++)
            pixErode(pixt, pixs, sel);
        time = fact * stopTimer();
        numaAddNumber(na1, time);

        startTimer();
        for (j = 0; j < NTIMES; j++)
            pixErodeCompBrick(pixt, pixs, sx, sy);
        time = fact * stopTimer();
        numaAddNumber(na2, time);

        startTimer();
        for (j = 0; j < NTIMES; j++)
            pixMorphDwa_3(pixt, pixs, L_MORPH_ERODE, selname);
        time = fact * stopTimer();
        numaAddNumber(na3, time);

        startTimer();
        for (j = 0; j < NTIMES; j++)
            pixErodeCompBrickDwa(pixt, pixs, sx, sy);
        time = fact * stopTimer();
        numaAddNumber(na4, time);
    }

    nac1 = numaWindowedMean(na1, HALFWIDTH);
    nac2 = numaWindowedMean(na2, HALFWIDTH);
    nac3 = numaWindowedMean(na3, HALFWIDTH);
    nac4 = numaWindowedMean(na4, HALFWIDTH);
    gplot = gplotCreate("/tmp/lept/morph/erode", GPLOT_PNG,
                        "Erosion time vs sel size", "size", "time (ms)");
    gplotAddPlot(gplot, nax, nac1, GPLOT_LINES, "linear rasterop");
    gplotAddPlot(gplot, nax, nac2, GPLOT_LINES, "composite rasterop");
    gplotAddPlot(gplot, nax, nac3, GPLOT_LINES, "linear dwa");
    gplotAddPlot(gplot, nax, nac4, GPLOT_LINES, "composite dwa");
    gplotMakeOutput(gplot);
    gplotDestroy(&gplot);
    numaDestroy(&nac1);
    numaDestroy(&nac2);
    numaDestroy(&nac3);
    numaDestroy(&nac4);

        /*  ---------  opening  ----------*/

    numaEmpty(na1);
    numaEmpty(na2);
    numaEmpty(na3);
    numaEmpty(na4);
    for (i = 0; i < nsels / 2; i++)
    {
        sel = selaGetSel(selalinear, i);
        selGetParameters(sel, &sy, &sx, NULL, NULL);
        selname = selGetName(sel);
        fprintf(stderr, " %d .", i);

        startTimer();
        for (j = 0; j < NTIMES; j++)
            pixOpen(pixt, pixs, sel);
        time = fact * stopTimer();
        numaAddNumber(na1, time);

        startTimer();
        for (j = 0; j < NTIMES; j++)
            pixOpenCompBrick(pixt, pixs, sx, sy);
        time = fact * stopTimer();
        numaAddNumber(na2, time);

        startTimer();
        for (j = 0; j < NTIMES; j++)
            pixMorphDwa_3(pixt, pixs, L_MORPH_OPEN, selname);
        time = fact * stopTimer();
        numaAddNumber(na3, time);

        startTimer();
        for (j = 0; j < NTIMES; j++)
            pixOpenCompBrickDwa(pixt, pixs, sx, sy);
        time = fact * stopTimer();
        numaAddNumber(na4, time);
    }

    nac1 = numaWindowedMean(na1, HALFWIDTH);
    nac2 = numaWindowedMean(na2, HALFWIDTH);
    nac3 = numaWindowedMean(na3, HALFWIDTH);
    nac4 = numaWindowedMean(na4, HALFWIDTH);
    gplot = gplotCreate("/tmp/lept/morph/open", GPLOT_PNG,
                        "Opening time vs sel size", "size", "time (ms)");
    gplotAddPlot(gplot, nax, nac1, GPLOT_LINES, "linear rasterop");
    gplotAddPlot(gplot, nax, nac2, GPLOT_LINES, "composite rasterop");
    gplotAddPlot(gplot, nax, nac3, GPLOT_LINES, "linear dwa");
    gplotAddPlot(gplot, nax, nac4, GPLOT_LINES, "composite dwa");
    gplotMakeOutput(gplot);
    gplotDestroy(&gplot);
    numaDestroy(&nac1);
    numaDestroy(&nac2);
    numaDestroy(&nac3);
    numaDestroy(&nac4);

        /*  ---------  closing  ----------*/

    numaEmpty(na1);
    numaEmpty(na2);
    numaEmpty(na3);
    numaEmpty(na4);
    for (i = 0; i < nsels / 2; i++)
    {
        sel = selaGetSel(selalinear, i);
        selGetParameters(sel, &sy, &sx, NULL, NULL);
        selname = selGetName(sel);
        fprintf(stderr, " %d .", i);

        startTimer();
        for (j = 0; j < NTIMES; j++)
            pixClose(pixt, pixs, sel);
        time = fact * stopTimer();
        numaAddNumber(na1, time);

        startTimer();
        for (j = 0; j < NTIMES; j++)
            pixCloseCompBrick(pixt, pixs, sx, sy);
        time = fact * stopTimer();
        numaAddNumber(na2, time);

        startTimer();
        for (j = 0; j < NTIMES; j++)
            pixMorphDwa_3(pixt, pixs, L_MORPH_CLOSE, selname);
        time = fact * stopTimer();
        numaAddNumber(na3, time);

        startTimer();
        for (j = 0; j < NTIMES; j++)
            pixCloseCompBrickDwa(pixt, pixs, sx, sy);
        time = fact * stopTimer();
        numaAddNumber(na4, time);
    }

    nac1 = numaWindowedMean(na1, HALFWIDTH);
    nac2 = numaWindowedMean(na2, HALFWIDTH);
    nac3 = numaWindowedMean(na3, HALFWIDTH);
    nac4 = numaWindowedMean(na4, HALFWIDTH);
    gplot = gplotCreate("/tmp/lept/morph/close", GPLOT_PNG,
                        "Closing time vs sel size", "size", "time (ms)");
    gplotAddPlot(gplot, nax, nac1, GPLOT_LINES, "linear rasterop");
    gplotAddPlot(gplot, nax, nac2, GPLOT_LINES, "composite rasterop");
    gplotAddPlot(gplot, nax, nac3, GPLOT_LINES, "linear dwa");
    gplotAddPlot(gplot, nax, nac4, GPLOT_LINES, "composite dwa");
    gplotMakeOutput(gplot);
#ifndef  _WIN32
    sleep(1);
#else
    Sleep(1000);
#endif  /* _WIN32 */

    gplotDestroy(&gplot);
    numaDestroy(&nac1);
    numaDestroy(&nac2);
    numaDestroy(&nac3);
    numaDestroy(&nac4);


    numaDestroy(&na1);
    numaDestroy(&na2);
    numaDestroy(&na3);
    numaDestroy(&na4);
    numaDestroy(&nax);
    selaDestroy(&selalinear);
    pixDestroy(&pixt);
    pixDestroy(&pixs);

        /* Display the results together */
    pixa = pixaCreate(0);
    pixs = pixRead("/tmp/lept/morph/dilate.png");
    pixaAddPix(pixa, pixs, L_INSERT);
    pixs = pixRead("/tmp/lept/morph/erode.png");
    pixaAddPix(pixa, pixs, L_INSERT);
    pixs = pixRead("/tmp/lept/morph/open.png");
    pixaAddPix(pixa, pixs, L_INSERT);
    pixs = pixRead("/tmp/lept/morph/close.png");
    pixaAddPix(pixa, pixs, L_INSERT);
    pixt = pixaDisplayTiledInRows(pixa, 32, 1500, 1.0, 0, 40, 3);
    pixWrite("/tmp/lept/morph/timings.png", pixt, IFF_PNG);
    pixDisplay(pixt, 100, 100);
    pixDestroy(&pixt);
    pixaDestroy(&pixa);
    return 0;
}
/*!
 * \brief   pixMorphCompSequence()
 *
 * \param[in]    pixs
 * \param[in]    sequence string specifying sequence
 * \param[in]    dispsep controls debug display of each result in the sequence:
 *                       0: no output
 *                       > 0: gives horizontal separation in pixels between
 *                            successive displays
 *                       < 0: pdf output; abs(dispsep) is used for naming
 * \return  pixd, or NULL on error
 *
 * <pre>
 * Notes:
 *      (1) This does rasterop morphology on binary images, using composite
 *          operations for extra speed on large Sels.
 *      (2) Safe closing is used atomically.  However, if you implement a
 *          closing as a sequence with a dilation followed by an
 *          erosion, it will not be safe, and to ensure that you have
 *          no boundary effects you must add a border in advance and
 *          remove it at the end.
 *      (3) For other usage details, see the notes for pixMorphSequence().
 *      (4) The sequence string is formatted as follows:
 *            ~ An arbitrary number of operations,  each separated
 *              by a '+' character.  White space is ignored.
 *            ~ Each operation begins with a case-independent character
 *              specifying the operation:
 *                 d or D  (dilation)
 *                 e or E  (erosion)
 *                 o or O  (opening)
 *                 c or C  (closing)
 *                 r or R  (rank binary reduction)
 *                 x or X  (replicative binary expansion)
 *                 b or B  (add a border of 0 pixels of this size)
 *            ~ The args to the morphological operations are bricks of hits,
 *              and are formatted as a.b, where a and b are horizontal and
 *              vertical dimensions, rsp.
 *            ~ The args to the reduction are a sequence of up to 4 integers,
 *              each from 1 to 4.
 *            ~ The arg to the expansion is a power of two, in the set
 *              {2, 4, 8, 16}.
 * </pre>
 */
PIX *
pixMorphCompSequence(PIX         *pixs,
                     const char  *sequence,
                     l_int32      dispsep)
{
char    *rawop, *op, *fname;
char     buf[256];
l_int32  nops, i, j, nred, fact, w, h, x, y, border, pdfout;
l_int32  level[4];
PIX     *pixt1, *pixt2;
PIXA    *pixa;
SARRAY  *sa;

    PROCNAME("pixMorphCompSequence");

    if (!pixs)
        return (PIX *)ERROR_PTR("pixs not defined", procName, NULL);
    if (!sequence)
        return (PIX *)ERROR_PTR("sequence not defined", procName, NULL);

        /* Split sequence into individual operations */
    sa = sarrayCreate(0);
    sarraySplitString(sa, sequence, "+");
    nops = sarrayGetCount(sa);
    pdfout = (dispsep < 0) ? 1 : 0;

    if (!morphSequenceVerify(sa)) {
        sarrayDestroy(&sa);
        return (PIX *)ERROR_PTR("sequence not valid", procName, NULL);
    }

        /* Parse and operate */
    pixa = NULL;
    if (pdfout) {
        pixa = pixaCreate(0);
        pixaAddPix(pixa, pixs, L_CLONE);
        snprintf(buf, sizeof(buf), "/tmp/seq_output_%d.pdf", L_ABS(dispsep));
        fname = genPathname(buf, NULL);
    }
    border = 0;
    pixt1 = pixCopy(NULL, pixs);
    pixt2 = NULL;
    x = y = 0;
    for (i = 0; i < nops; i++) {
        rawop = sarrayGetString(sa, i, L_NOCOPY);
        op = stringRemoveChars(rawop, " \n\t");
        switch (op[0])
        {
        case 'd':
        case 'D':
            sscanf(&op[1], "%d.%d", &w, &h);
            pixt2 = pixDilateCompBrick(NULL, pixt1, w, h);
            pixSwapAndDestroy(&pixt1, &pixt2);
            break;
        case 'e':
        case 'E':
            sscanf(&op[1], "%d.%d", &w, &h);
            pixt2 = pixErodeCompBrick(NULL, pixt1, w, h);
            pixSwapAndDestroy(&pixt1, &pixt2);
            break;
        case 'o':
        case 'O':
            sscanf(&op[1], "%d.%d", &w, &h);
            pixOpenCompBrick(pixt1, pixt1, w, h);
            break;
        case 'c':
        case 'C':
            sscanf(&op[1], "%d.%d", &w, &h);
            pixCloseSafeCompBrick(pixt1, pixt1, w, h);
            break;
        case 'r':
        case 'R':
            nred = strlen(op) - 1;
            for (j = 0; j < nred; j++)
                level[j] = op[j + 1] - '0';
            for (j = nred; j < 4; j++)
                level[j] = 0;
            pixt2 = pixReduceRankBinaryCascade(pixt1, level[0], level[1],
                                               level[2], level[3]);
            pixSwapAndDestroy(&pixt1, &pixt2);
            break;
        case 'x':
        case 'X':
            sscanf(&op[1], "%d", &fact);
            pixt2 = pixExpandReplicate(pixt1, fact);
            pixSwapAndDestroy(&pixt1, &pixt2);
            break;
        case 'b':
        case 'B':
            sscanf(&op[1], "%d", &border);
            pixt2 = pixAddBorder(pixt1, border, 0);
            pixSwapAndDestroy(&pixt1, &pixt2);
            break;
        default:
            /* All invalid ops are caught in the first pass */
            break;
        }
        LEPT_FREE(op);

            /* Debug output */
        if (dispsep > 0) {
            pixDisplay(pixt1, x, y);
            x += dispsep;
        }
        if (pdfout)
            pixaAddPix(pixa, pixt1, L_COPY);
    }
    if (border > 0) {
        pixt2 = pixRemoveBorder(pixt1, border);
        pixSwapAndDestroy(&pixt1, &pixt2);
    }

    if (pdfout) {
        pixaConvertToPdf(pixa, 0, 1.0, L_FLATE_ENCODE, 0, fname, fname);
        LEPT_FREE(fname);
        pixaDestroy(&pixa);
    }

    sarrayDestroy(&sa);
    return pixt1;
}