#!/bin/bash
#
# Developed by Fred Weinhaus 8/18/2009 .......... revised 5/12/2019
#
# ------------------------------------------------------------------------------
# 
# Licensing:
# 
# Copyright © Fred Weinhaus
# 
# My scripts are available free of charge for non-commercial use, ONLY.
# 
# For use of my scripts in commercial (for-profit) environments or 
# non-free applications, please contact me (Fred Weinhaus) for 
# licensing arrangements. My email address is fmw at alink dot net.
# 
# If you: 1) redistribute, 2) incorporate any of these scripts into other 
# free applications or 3) reprogram them in another scripting language, 
# then you must contact me for permission, especially if the result might 
# be used in a commercial or for-profit environment.
# 
# My scripts are also subject, in a subordinate manner, to the ImageMagick 
# license, which can be found at: http://www.imagemagick.org/script/license.php
# 
# ------------------------------------------------------------------------------
# 
####
#
# USAGE: fftfilter infile filtfile outfile
# USAGE: fftfilter [-h or -help]
#
# OPTIONS:
#
# No options are required.
# 
###
#
# NAME: FFTFILTER 
# 
# PURPOSE: To perform filtering on an image in the frequency domain.
# 
# DESCRIPTION: FFTFILTER performs filtering on an image in the frequency
# domain using a frequency domain filter image. Two inputs are required. The 
# image and a grayscale frequency domain filter. The image is transformed to 
# the frequency domain using -fft and the filter image is then multiplied with 
# the Fourier transform of the image and the product is then returned to the 
# spatial domain using -ift. Any alpha channel on the filter will be removed 
# automatically before processing. If the image has an alpha channel it will 
# not be processed, but simply copied from the input to the output.
# 
# OPTIONS: 
# 
# No options are required
# 
# The filter image must be appropriately centered and padded with black to 
# the same size as the input image.
# 
# REQUIREMENTS: IM version 6.5.4-7 or higher. HDRI is not required, but Q8 
# compilations of IM are not recommended as it will not carry enough precision. 
# Also requires the FFTW delegate library.
# 
# LIMITATIONS: This script works well only with even, square images. Otherwise,   
# the FFT will pad them with black to conform. However, there will be excessive 
# ringing due to the color discontinuity associated with the padding. This 
# even, square limitation is a ramification of the current IM implementation 
# that needs addressing at some future time. It is not a limitation of FFTW.
# 
# See http://www.fmwconcepts.com/imagemagick/fourier_transforms/fourier.html 
# for more details about the Fourier Transform with ImageMagick.
# 
# CAVEAT: No guarantee that this script will work on all platforms, 
# nor that trapping of inconsistent parameters is complete and 
# foolproof. Use At Your Own Risk. 
# 
######
#

# set directory for temporary files
dir="."    # suggestions are dir="." or dir="/tmp"

# set up functions to report Usage and Usage with Description
PROGNAME=`type $0 | awk '{print $3}'`  # search for executable on path
PROGDIR=`dirname $PROGNAME`            # extract directory of program
PROGNAME=`basename $PROGNAME`          # base name of program
usage1() 
	{
	echo >&2 ""
	echo >&2 "$PROGNAME:" "$@"
	sed >&2 -e '1,/^####/d;  /^###/g;  /^#/!q;  s/^#//;  s/^ //;  4,$p' "$PROGDIR/$PROGNAME"
	}
usage2() 
	{
	echo >&2 ""
	echo >&2 "$PROGNAME:" "$@"
	sed >&2 -e '1,/^####/d;  /^######/g;  /^#/!q;  s/^#*//;  s/^ //;  4,$p' "$PROGDIR/$PROGNAME"
	}


# function to report error messages
errMsg()
	{
	echo ""
	echo $1
	echo ""
	usage1
	exit 1
	}


# function to test for minus at start of value of second part of option 1 or 2
checkMinus()
	{
	test=`echo "$1" | grep -c '^-.*$'`   # returns 1 if match; 0 otherwise
    [ $test -eq 1 ] && errMsg "$errorMsg"
	}

# test for correct number of arguments and get values
if [ $# -eq 0 ]
	then
	# help information
   echo ""
   usage2
   exit 0
elif [ $# -gt 3 ]
	then
	errMsg "--- TOO MANY ARGUMENTS WERE PROVIDED ---"
else
	while [ $# -gt 0 ]
		do
			# get parameter values
			case "$1" in
		  -h|-help)    # help information
					   echo ""
					   usage2
					   exit 0
					   ;;
				 -)    # STDIN and end of arguments
					   break
					   ;;
				-*)    # any other - argument
					   errMsg "--- UNKNOWN OPTION ---"
					   ;;
		     	 *)    # end of arguments
					   break
					   ;;
			esac
			shift   # next option
	done
	#
	# get infile, filtfile and outfile
	infile="$1"
	filtfile="$2"
	outfile="$3"
fi

# test that infile provided
[ "$infile" = "" ] && errMsg "NO INPUT FILE SPECIFIED"

# test that filtfile provided
[ "$filtfile" = "" ] && errMsg "NO FILTER FILE SPECIFIED"

# test that outfile provided
[ "$outfile" = "" ] && errMsg "NO OUTPUT FILE SPECIFIED"

# setup temporary images
tmpA1="$dir/fftfilter_1_$$.mpc"
tmpB1="$dir/fftfilter_1_$$.cache"
tmpA2="$dir/fftfilter_2_$$.mpc"
tmpB2="$dir/fftfilter_2_$$.cache"
tmpA="$dir/fftfilter_A_$$.pfm"
trap "rm -f $tmpA1 $tmpB1 $tmpA2 $tmpB2 $tmpA;" 0
trap "rm -f $tmpA1 $tmpB1 $tmpA2 $tmpB2 $tmpA; exit 1" 1 2 3 15
trap "rm -f $tmpA1 $tmpB1 $tmpA2 $tmpB2 $tmpA; exit 1" ERR

# LAST TESTED with IM 6.7.4.10, 6.7.6.10, 6.8.0.2 all non-hdri on 10/24/2012

# test for valid version of IM
im_version=`convert -list configure | \
	sed '/^LIB_VERSION_NUMBER */!d;  s//,/;  s/,/,0/g;  s/,0*\([0-9][0-9]\)/\1/g' | head -n 1`
[ "$im_version" -lt "06050407" ] && errMsg "--- REQUIRES IM VERSION 6.5.4-7 OR HIGHER ---"


# read the input image and test validity.
convert -quiet "$infile" +repage "$tmpA1" ||
	errMsg "--- FILE $infile DOES NOT EXIST OR IS NOT AN ORDINARY FILE, NOT READABLE OR HAS ZERO SIZE  ---"

# read the filter image and test validity.
convert -quiet "$filtfile" -alpha off +repage "$tmpA2" ||
	errMsg "--- FILE $filtfile DOES NOT EXIST OR IS NOT AN ORDINARY FILE, NOT READABLE OR HAS ZERO SIZE  ---"

if [ "$im_version" -ge "07000000" ]; then
	identifying="magick identify"
else
	identifying="identify"
fi

# test if image has alpha and set up copy to output
is_alpha=`$identifying -ping -verbose $tmpA1 | grep "Alpha" | head -n 1`
if [ "$is_alpha" != "" ]; then
	convert $tmpA1 -alpha extract $tmpA 
	addalpha="$tmpA -compose over -alpha off -compose copy_opacity -composite"
else
	addalpha=""
fi


: '
For filtering, the magnitude of the fft of the image is multiplied by the filter
F=A  filter fft
P=Cexp(iD) image fft where i=sqrt(-1) and C is magnitude and D is phase 
FxP= ACexp(iD)
'

# If image and filter are not even and square, then need to pad filter to size of expected fft
# because the IM FFT will not tranform the filter correctly due to the IM FFT padding.
# This can be demonstrated by doing -fft -ift on filter image and see that it is no longer centered

# get image dimensions for later cropping as inputs are padded to square, even dimensions
width=`$identifying -ping -format "%w" $tmpA2`
height=`$identifying -ping -format "%h" $tmpA2`

# get padded to even square size
dim=`convert xc: -format "%[fx:floor((2*max($width,$height)+1)/2)]" info:`
#echo "dim=$dim"

# pad filter if needed
if [ $dim -ne $width -o $dim -ne $height ]; then
	convert $tmpA2 -gravity center -background black -extent ${dim}x${dim} $tmpA2
fi

# transform the image to magnitude and phase,
# multiply magnitude by filter and use as produce magnitude
# transform product magnitude and original phase back
#
convert \( $tmpA1 -fft \) \
	\( -clone 0 $tmpA2 -compose multiply -composite \) \
	-delete 0 +swap -ift \
	-crop ${width}x${height}+0+0 +repage $addalpha "$outfile"

exit 0