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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 "pm_c_util.h"
#include "mallocvar.h"
#include "pgm.h"
#ifndef PID2 /* PI/2 (on AMIGA always defined) */
#define PID2 1.57079632679489661923
#endif
/* 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 */
MALLOCARRAY(rho, N);
if( !rho )
pm_error( "out of memory" );
for (n=0 ; n<N ; n++)
rho[n] = 0;
rhop = rho;
for (n=0 ; n<N ; n++)
{
rhop[n] = MAX(0, (y[n] - Sum(n,rho,N,adl))/(adl[n*N+n]));
/* Clip to 0 for error correction ! */
}
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;
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
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 split into 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 */
}
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