1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
|
#!/bin/bash
#
# Developed by Fred Weinhaus 10/29/2008 .......... revised 4/25/2015
#
# ------------------------------------------------------------------------------
#
# 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: isodatathresh [-g graph] infile outfile
# USAGE: isodatathresh [-help]
#
# OPTIONS:
#
# -g graph graph specifies whether to generate a
# histogram graph image displaying the
# location and value of the threshold;
# choices are: view or save;
# default is no graph
#
###
#
# NAME: ISODATATHRESH
#
# PURPOSE: To automatically thresholds an image to binary (b/w) format
# using the isodata technique.
#
# DESCRIPTION: ISODATATHRESH automatically thresholds an image to binary
# (b/w) format. It assume the histogram is bimodal, i.e. is the composite
# of two bell-shaped distributions representing the foreground and
# background classes. The isodata appoach iteratively thresholds the
# image, computes the means of the foreground (above threshold data) and
# background (at and below threshold value), computes a new threshold
# equal to the average of these two means and repeats until there is no
# change in threshold between successive iterations. This script is
# equivalent to the kmeansthresh script, but is implemented using image
# masking rather than from the histogram of the image. It is faster
# than the kmeansthresh script for smaller images. The timing transition
# occurs for images somewhere between 1000-2000 pixels on a side.
#
# OPTIONS:
#
# -g graph ... GRAPH specifies whether to generate a graph (image) of
# the histogram, displaying the location and value of the threshold.
# The choices are: view, save and none. If graph=view is selected, the
# graph will be created and displayed automatically, but not saved.
# If graph=save is selected, then the graph will be created and saved
# to a file using the infile name, with "_histog_isodata.gif" appended,
# but the graph will not be displayed automatically. If -g option is
# not specified, then no graph will be created.
#
# NOTE: It is highly recommended that the output not be specified
# as a JPG image as that will cause compression and potentially a
# non-binary (i.e. a graylevel) result. GIF is the recommended
# output format.
#
# REFERENCES: see the following:
# http://www.ph.tn.tudelft.nl/Courses/FIP/noframes/fip-Segmenta.html
# http://homepages.inf.ed.ac.uk/rbf/CVonline/LOCAL_COPIES/MORSE/threshold.pdf
#
# 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 default values
graph="" #none, save or view
# 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 4 ]
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
;;
-g) # get graph
shift # to get the next parameter
# test if parameter starts with minus sign
errorMsg="--- INVALID GRAPH SPECIFICATION ---"
checkMinus "$1"
graph="$1"
[ "$graph" != "view" -a "$graph" != "save" ] && errMsg "--- GRAPH=$graph MUST BE EITHER VIEW OR SAVE ---"
;;
-) # STDIN and end of arguments
break
;;
-*) # any other - argument
errMsg "--- UNKNOWN OPTION ---"
;;
*) # end of arguments
break
;;
esac
shift # next option
done
#
# get infile and outfile
infile="$1"
outfile="$2"
fi
# test that infile provided
[ "$infile" = "" ] && errMsg "NO INPUT FILE SPECIFIED"
# test that outfile provided
[ "$outfile" = "" ] && errMsg "NO OUTPUT FILE SPECIFIED"
# get outname from infile to use for graph
inname=`convert $infile -format "%t" info:`
histfile=${inname}_histog_isodata.gif
tmpA1="$dir/isodatathresh_1_$$.mpc"
tmpA2="$dir/isodatathresh_1_$$.cache"
tmpM1="$dir/isodatathresh_M_$$.mpc"
tmpM2="$dir/isodatathresh_M_$$.cache"
tmpL1="$dir/isodatathresh_L_$$.mpc"
tmpL2="$dir/isodatathresh_L_$$.cache"
tmpH1="$dir/isodatathresh_H_$$.mpc"
tmpH2="$dir/isodatathresh_H_$$.cache"
trap "rm -f $tmpA1 $tmpA2 $tmpM1 $tmpM2 $tmpL1 $tmpL2 $tmpH1 $tmpH2;" 0
trap "rm -f $tmpA1 $tmpA2 $tmpM1 $tmpM2 $tmpL1 $tmpL2 $tmpH1 $tmpH2 $histfile; exit 1" 1 2 3 15
trap "rm -f $tmpA1 $tmpA2 $tmpM1 $tmpM2 $tmpL1 $tmpL2 $tmpH1 $tmpH2 $histfile; exit 1" ERR
# get im_version
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`
# colorspace RGB and sRGB swapped between 6.7.5.5 and 6.7.6.7
# though probably not resolved until the latter
# then -colorspace gray changed to linear between 6.7.6.7 and 6.7.8.2
# then -separate converted to linear gray channels between 6.7.6.7 and 6.7.8.2,
# though probably not resolved until the latter
# so -colorspace HSL/HSB -separate and -colorspace gray became linear
# but we need to use -set colorspace RGB before using them at appropriate times
# so that results stay as in original script
# The following was determined from various version tests using isodatathresh.
# with IM 6.7.4.10, 6.7.6.10, 6.7.8.10
if [ "$im_version" -lt "06070607" -o "$im_version" -gt "06070707" ]; then
setcspace="-set colorspace RGB"
else
setcspace=""
fi
# no need for setcspace for grayscale or channels after 6.8.5.4
if [ "$im_version" -gt "06080504" ]; then
setcspace=""
fi
if convert -quiet "$infile" $setcspace -colorspace Gray +repage "$tmpA1"
then
: ' do nothing '
else
errMsg "--- FILE $infile DOES NOT EXIST OR IS NOT AN ORDINARY FILE, NOT READABLE OR HAG ZERO SIZE ---"
fi
# get im version
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`
getMinMax()
{
img="$1"
if [ "$im_version" -ge "06030901" ]
then
min=`convert $img -format "%[min]" info:`
max=`convert $img -format "%[max]" info:`
min=`convert xc: -format "%[fx:100*$min/quantumrange]" info:`
max=`convert xc: -format "%[fx:100*$max/quantumrange]" info:`
else
data=`convert $img -verbose info:`
min=`echo "$data" | sed -n 's/^.*[Mm]in:.*[(]\([0-9.]*\).*$/\1/p ' | head -1`
max=`echo "$data" | sed -n 's/^.*[Mm]ax:.*[(]\([0-9.]*\).*$/\1/p ' | head -1`
min=`convert xc: -format "%[fx:100*$min)]" info:`
max=`convert xc: -format "%[fx:100*$max)]" info:`
fi
}
getMean()
{
img="$1"
if [ "$im_version" -ge "06030901" ]
then
mean=`convert $img -format "%[mean]" info:`
mean=`convert xc: -format "%[fx:100*$mean/quantumrange]" info:`
else
data=`convert $img -verbose info:`
mean=`echo "$data" | sed -n 's/^.*[Mm]ean:.*[(]\([0-9.]*\).*$/\1/p ' | head -1`
mean=`convert xc: -format "%[fx:100*$mean]" info:`
fi
}
# process image using isodata approach
echo ""
echo "Compute Threshold"
# begin threshold at ave of min and max
getMinMax "$tmpA1"
min=$min
max=$max
thresh=`convert xc: -format "%[fx:($min+$max)/2]" info:`
oldthresh=0
diff=`convert xc: -format "%[fx:abs($thresh-$oldthresh)]" info:`
test=`echo "$diff == 0" | bc`
k=1
# iterate the following
# threshold image at newmean
# get means above and below threshold
# get average of hmean and lmean as newmean
# repeat until difference between oldmean and newmean is <= diffstop
#
# Note: low and high (below threshold and above threshold) means
# are extracted by masking and not by histogram counting.
# Thus they need to be corrected for mixture of black pixels.
# So, mean from masks (Mmeasured) and actual low/high means, Mtrue, are related
# Mmeasured=(Sum(Cw*Gw)+Sum(Cb*0))/Ct = Sum(Cw*Gw)/Ct, summed over whole image
# where Cw=count of white mask pixels, Gw graylevel at those pixels, Ct=total image pixels
# Mtrue=Sum(Cw*Gw)/Ctw, where Ctw is total count of only white (non-black) mask pixels
# Ctw=Mean of the mask/100
# All graylevels are in range 0-100
#
while [ $test != 1 ]; do
echo "Iteration $k"
oldthresh=$thresh
convert $tmpA1 -threshold ${thresh}% $tmpM1
getMean "$tmpM1"
mmean=$mean
convert $tmpA1 $tmpM1 -compose multiply -composite $tmpH1
getMean "$tmpH1"
hmean=$mean
# echo "mmean=$mmean; hmean=$hmean"
hmean=`convert xc: -format "%[fx:(100*$hmean/$mmean)]" info:`
nmean=`convert xc: -format "%[fx:(100-$mmean)]" info:`
convert $tmpA1 \( $tmpM1 -negate \) -compose multiply -composite $tmpL1
getMean "$tmpL1"
lmean=$mean
# echo "nmean=$nmean; lmean=$lmean"
lmean=`convert xc: -format "%[fx:(100*$lmean/$nmean)]" info:`
thresh=`convert xc: -format "%[fx:($hmean+$lmean)/2]" info:`
diff=`convert xc: -format "%[fx:abs($thresh-$oldthresh)]" info:`
test=`echo "$diff ==0" | bc`
k=`expr $k + 1`
#echo "hmean=$hmean; lmean=$lmean; oldthresh=$oldthresh; thresh=$thresh; diff=$diff"
done
convert $tmpM1 "$outfile"
echo "Image Thresholded At $thresh%"
echo ""
if [ "$graph" != "" ]; then
xx=`convert xc: -format "%[fx:floor(255*$thresh/100)]" info:`
convert $tmpA1 -define histogram:unique-colors=false histogram:- | \
convert - -negate \
-stroke red -strokewidth 1 -draw "line $xx,0 $xx,200" \
-background gray -splice 0x30 \
-fill white -stroke white -strokewidth 1 \
-font ArialB -pointsize 24 \
-draw "text 4,22 'threshold=$thresh%'" -resize 50% \
-bordercolor gray50 -border 5 \
"$histfile"
fi
if [ "$graph" = "view" ]; then
convert $histfile x:
rm -f "$histfile"
fi
exit 0
|