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+/* pgmabel.c - read a portable graymap and making the deconvolution
+**
+**      Deconvolution of an axial-symmetric image of an rotation symmetrical
+**      process by solving the linear equation system with y-Axis as
+**      symmetry-line
+**
+** Copyright (C) 1997-2006 by German Aerospace Research establishment
+**
+** Author: Volker Schmidt
+**         lefti@voyager.boerde.de
+**
+** Permission to use, copy, modify, and distribute this software and its
+** documentation for any purpose and without fee is hereby granted, provided
+** that the above copyright notice appear in all copies and that both that
+** copyright notice and this permission notice appear in supporting
+** documentation.  This software is provided "as is" without express or
+** implied warranty.
+**
+** $HISTORY:
+**
+** 24 Jan 2002 : 001.009 :  some optimzization
+** 22 Jan 2002 : 001.008 :  some stupid calculations changed
+** 08 Aug 2001 : 001.007 :  new usage (netpbm-conform)
+** 27 Jul 1998 : 001.006 :  First try of error correction
+** 26 Mar 1998 : 001.005 :  Calculating the dl's before transformation
+** 06 Feb 1998 : 001.004 :  Include of a logo in the upper left edge
+** 26 Nov 1997 : 001.003 :  Some bug fixes and reading only lines
+** 25 Nov 1997 : 001.002 :  include of pixsize for getting scale invariant
+** 03 Sep 1997 : 001.001 :  only define for PID2
+** 03 Sep 1997 : 001.000 :  First public release
+** 21 Aug 1997 : 000.909 :  Recalculate the streching-factor
+** 20 Aug 1997 : 000.908 :  -left and -right for calculating only one side
+** 20 Aug 1997 : 000.906 :  correction of divisor, include of -factor
+** 15 Aug 1997 : 000.905 :  Include of -help and -axis
+*/
+
+static const char* const version="$VER: pgmabel 1.009 (24 Jan 2002)";
+
+#include <math.h>
+#include <stdlib.h>   /* for calloc */
+#include "pgm.h"
+#include "mallocvar.h"
+
+#ifndef PID2          /*  PI/2 (on AMIGA always defined) */
+#define PID2    1.57079632679489661923  
+#endif
+
+#define TRUE 1
+#define FALSE 0
+
+/* some global variables */
+static double *aldl, *ardl;                /* pointer for weighting factors */
+
+/* ----------------------------------------------------------------------------
+** procedure for calculating the sum of the calculated surfaces with the
+** weight of the surface
+**      n     <-  index of end point of the summation
+**      N     <-  width of the calculated row
+**      xr    <-  array of the calculated elements of the row
+**      adl   <-  pre-calculated surface coefficient for each segment
+*/
+static double 
+Sum ( int n, double *xr, int N, double *adl)
+{
+    int k;
+    double result=0.0;
+
+    if (n==0) return(0.0);             /* outer ring  is 0 per definition    */
+    for (k=0 ; k<=(n-1) ; k++)
+    {
+         result += xr[k] * ( adl[k*N+n] - adl[(k+1)*N+n]);
+/*       result += xr[k] * ( dr(k,n+0.5,N) - dr(k+1,n+0.5,N));   */
+    }
+    return(result);
+}
+
+/* ----------------------------------------------------------------------------
+** procedure for calculating the surface coefficient for the Integration
+**      R, N  <-  indizes of the coefficient
+**      r     <-  radial position of the center of the surface
+*/
+static double 
+dr ( int R, double r,  int N)
+{
+    double a;
+    double b;
+    a=(double) N-R ;
+    b=(double) N-r ;
+    return(sqrt(a*a-b*b));
+}
+
+/* ----------------------------------------------------------------------------
+** procedure for making the Abel integration for deconvolution of the image
+**        y    <-> array with values for deconvolution and results
+**        N    <-  width of the array
+**        adl  <-  array with pre-calculated weighting factors
+*/
+static void 
+abel ( float *y, int N, double *adl)
+{
+    register int n;
+    double *rho, *rhop;       /* results and new index                       */
+    float  *yp;               /* new indizes for the y-array                 */
+
+    MALLOCARRAY(rho, N);
+    if( !rho )
+        pm_error( "out of memory" );
+    rhop = rho;
+    yp  = y;
+
+    for (n=0 ; n<N ; n++)
+    {
+        *(rhop++) = ((*yp++) - Sum(n,rho,N,adl))/(adl[n*N+n]);
+/*    *(rhop++) = ((*yp++) - Sum(n,rho,N))/(dr(n,n+0.5,N));  old version */
+        if ( *rhop < 0.0 ) *rhop = 0.0;         /*  error correction !       */
+/*   if (n > 2) rhop[n-1] = (rho[n-2]+rho[n-1]+rho[n])/3.0;  stabilization*/
+    }
+    for (n=0 ; n<N ; n++)
+        {
+            if (( n>=1 )&&( n<N-1 ))
+	       (*y++) = ((rho[n-1]*0.5+rho[n]+rho[n+1]*0.5)/2.0);/*1D median filter*/
+            else (*y++) = rho[n];
+        }
+    free(rho);
+}
+
+/* ----------------------------------------------------------------------------
+** printing a help message if Option -h(elp) is chosen
+*/
+static void 
+help()
+{
+    pm_message("-----------------------------------------------------------------");
+    pm_message("| pgmabel                                                       |");
+    pm_message("| make a deconvolution with vertical axis as symmetry-line      |");
+    pm_message("| usage:                                                        |");
+    pm_message("| pgmabel [-help] [-axis N] [-factor N] [-left|-right]          |");
+    pm_message("|         [-pixsize] [-verbose] [pgmfile]                       |");
+    pm_message("|   axis    : horizontal position of the axis                   |");
+    pm_message("|   factor  : user defines stretch-factor for the gray levels   |");
+    pm_message("|   pixsize : size of one pixel in mm (default = 0.1)           |");
+    pm_message("|   left    : calculating only the left (or right) side         |");
+    pm_message("|   verbose : output of useful data                             |");
+    pm_message("|   pgmfile : Name of a pgmfile (optional)                      |");
+    pm_message("|                                                               |");
+    pm_message("| for further information please contact the manpage            |"); 
+    pm_message("-----------------------------------------------------------------");
+    pm_message("%s",version);     /* telling the version      */
+    exit(-1);                     /* retur-code for no result */
+}
+
+
+
+
+
+/* ----------------------------------------------------------------------------
+** main program
+*/
+int main( argc, argv )
+    int    argc;
+    char*  argv[];
+{
+    FILE*  ifp;
+    gray maxval;                            /* maximum gray-level            */
+    gray* grayorig;
+    gray* grayrow;                          /* one line in the image         */
+    int argn, rows, cols, row, format;
+    int col, midcol=0, temp, tc;
+    float *trow;                          /* temporary row for deconvolution */
+    float l_div, r_div, fac=1.0, cfac=4.0;  /* factor for scaling gray-level */
+    float pixsize=0.1;
+    /* no verbose, calculating both sides                                */
+    int verb = FALSE, left = TRUE, right = TRUE;
+    int nologo = FALSE;
+    const char* const usage = "[-help] [-axis N] [-factor N] [-pixsize N] [-left|-right] [-verbose] [pgmfile]";
+
+    pgm_init( &argc, argv );
+    argn = 1;
+
+    /* Check for flags. */
+    while ( argn < argc && argv[argn][0] == '-' && argv[argn][1] != '\0' )
+        {
+        if ( pm_keymatch( argv[argn], "-help", 1 ) ) help();
+        else if ( pm_keymatch( argv[argn], "-axis", 1 ) )
+            {
+            ++argn;
+            if ( argn == argc || sscanf( argv[argn], "%i", &midcol ) !=1 )
+                pm_usage( usage );
+            }
+        else if ( pm_keymatch( argv[argn], "-factor", 1 ) )
+            {
+            ++argn;
+            if ( argn == argc || sscanf( argv[argn], "%f", &fac ) !=1 )
+                pm_usage( usage );
+            }
+        else if ( pm_keymatch( argv[argn], "-pixsize", 1 ) )
+            {
+            ++argn;
+            if ( argn == argc || sscanf( argv[argn], "%f", &pixsize ) !=1 )
+                pm_usage( usage );
+            }
+        else if ( pm_keymatch( argv[argn], "-verbose", 1 ) )
+            {
+                verb = TRUE;
+            }
+        else if ( pm_keymatch( argv[argn], "-left", 1 ) )
+            {
+                if ( left ) right = FALSE;
+                else pm_usage( usage );
+            }
+        else if ( pm_keymatch( argv[argn], "-right", 1 ) )
+           {
+                if ( right ) left = FALSE;
+                else pm_usage( usage );
+            }
+        else if ( pm_keymatch( argv[argn], "-nologo", 4 ) )
+            {
+                nologo = TRUE;
+            }
+        else
+            pm_usage( usage );
+        ++ argn;
+        }
+    if ( argn < argc )
+        {
+        ifp = pm_openr( argv[argn] );                    /* open the picture */
+        ++argn;
+        }
+    else
+        ifp = stdin;                                /* or reading from STDIN */
+    if ( argn != argc )
+        pm_usage( usage );
+
+    pgm_readpgminit( ifp, &cols, &rows, &maxval, &format );  /* read picture  */
+    pgm_writepgminit( stdout, cols, rows, maxval, 0 );  /* write the header  */
+    grayorig = pgm_allocrow(cols);
+    grayrow = pgm_allocrow( cols );                     /* allocate a row    */
+
+    if (midcol == 0) midcol = cols/2;     /* if no axis set take the center */
+    if (left ) l_div = (float)(PID2*pixsize)/(cfac*fac);
+    else l_div=1.0;                              /* weighting the left side  */
+    if (right) r_div = (float)(PID2*pixsize)/(cfac*fac);
+    else r_div=1.0;                              /* weighting the right side */
+
+    if (verb)
+    {
+        pm_message("%s",version);
+        pm_message("Calculating a portable graymap with %i rows and %i cols",rows,cols);
+        pm_message("  resuming a pixelsize of %f mm",pixsize);
+        if ( !right ) pm_message("     only the left side!");
+        if ( !left ) pm_message("     only the right side!");
+        pm_message("  axis = %i, stretching factor = %f",midcol,cfac*fac);
+        if ( left ) pm_message("  left side weighting = %f",l_div);
+        if ( right ) pm_message(" right side weighting = %f",r_div);
+    }
+
+    /* allocating the memory for the arrays aldl and ardl                    */
+    aldl = calloc ( midcol*midcol, sizeof(double));
+    if( !aldl )
+        pm_error( "out of memory" );
+    ardl = calloc ( (cols-midcol)*(cols-midcol), sizeof(double));
+    if( !ardl )
+        pm_error( "out of memory" );
+
+    MALLOCARRAY(trow, cols);
+    if( !trow )
+        pm_error( "out of memory" );
+
+    /* now precalculating the weighting-factors for the abel-transformation  */
+    for (col = 0; col < midcol; ++col)             /* factors for left side  */
+    {
+        for (tc = 0; tc < midcol; ++tc) aldl[col*midcol+tc] = dr(col,tc+0.5,midcol);
+    }
+    for (col = 0; col < (cols-midcol); ++col)      /* factors for right side */
+    {
+        for (tc = 0; tc < (cols-midcol); ++tc) 
+            ardl[col*(cols-midcol)+tc] = dr(col,tc+0.5,cols-midcol);
+    }
+
+    /* abel-transformation for each row splitted in right and left side      */
+    for ( row = 0; row < rows ; ++row )
+    {
+        pgm_readpgmrow( ifp, grayorig, cols, maxval, format );
+        for ( col = 0; col < midcol; ++col)          /* left side            */
+        {
+            trow[col] = (float) (grayorig[col]);
+        }
+        if (left ) abel(trow, midcol, aldl);         /* deconvolution        */
+        for ( col = 0; col < midcol; ++col)          /* writing left side    */
+        {
+            temp = (int)(trow[col]/l_div);
+            grayrow[col] = (temp>0?temp:0);
+        }
+        for ( col = midcol; col < cols; ++col )      /* right side           */
+        {
+            trow[cols-col-1] = (float) (grayorig[col]);
+        }
+        if ( right ) abel(trow,(cols-midcol),ardl);  /* deconvolution        */
+        for ( col = midcol; col < cols; ++col)       /* writing right side   */
+        {
+            temp = (int)(trow[cols-col-1]/r_div);
+            temp = (temp>0?temp:0);
+            grayrow[col] = temp;
+        }
+        pgm_writepgmrow( stdout, grayrow, cols, maxval, 0 );  /* saving row  */
+    }
+    pm_close( ifp );
+    pm_close( stdout );               /* closing output                      */
+    free( trow );                     /* deconvolution is done, clear memory */
+    pgm_freerow( grayorig );
+    pgm_freerow( grayrow );
+    free(aldl);
+    free(ardl);                      /* all used memory freed (i hope)       */
+    exit( 0 );                       /* end of procedure                     */
+}
+