from math import sin, cos, pi
from commons import clear
-def transform(image):
+class Hough:
+ def __init__(self, size):
+ self.size = size
+ self.dt = pi / size[1]
+ self.initial_angle = (pi / 4) + (self.dt / 2)
- image_l = image.load()
- size = image.size
-
- dt = pi / size[1]
- initial_angle = (pi / 4) + (dt / 2)
+ def transform(self, image):
+ image_l = image.load()
+ size = image.size
+
+ matrix = [[0]*size[1] for _ in xrange(size[0])]
- matrix = [[0]*size[1] for _ in xrange(size[0])]
+ dt = self.dt
+ initial_angle = self.initial_angle
- for x in xrange(size[0]):
- clear()
- print "hough transform: {0}/{1}".format(x + 1, size[0])
- for y in xrange(size[1]):
- if image_l[x, y]:
- # for every angle:
- for a in xrange(size[1]):
- # find the distance:
- # distance is the dot product of vector (x, y) - centerpoint
- # and a unit vector orthogonal to the angle
- distance = (((x - (size[0] / 2)) * sin((dt * a) + initial_angle)) +
- ((y - (size[1] / 2)) * -cos((dt * a) + initial_angle)) +
- size[0] / 2)
- column = int(round(distance)) # column of the matrix closest to the distance
- if column >= 0 and column < size[0]:
- matrix[column][a] += 1
-
- new_image = Image.new('L', size)
- new_image_l = new_image.load()
-
- minimum = min([min(m) for m in matrix])
-
- maximum = max([max(m) for m in matrix]) - minimum
-
- for y in xrange(size[1]):
for x in xrange(size[0]):
- new_image_l[x, y] = (float(matrix[x][y] - minimum) / maximum) * 255
+ clear()
+ print "hough transform: {0:>3}/{1}".format(x + 1, size[0])
+ for y in xrange(size[1]):
+ if image_l[x, y]:
+ # for every angle:
+ for a in xrange(size[1]):
+ # find the distance:
+ # distance is the dot product of vector (x, y) - centerpoint
+ # and a unit vector orthogonal to the angle
+ distance = (((x - (size[0] / 2)) * sin((dt * a) + initial_angle)) +
+ ((y - (size[1] / 2)) * -cos((dt * a) + initial_angle)) +
+ size[0] / 2)
+ column = int(round(distance)) # column of the matrix closest to the distance
+ if column >= 0 and column < size[0]:
+ matrix[column][a] += 1
+
+ new_image = Image.new('L', size)
+ new_image_l = new_image.load()
+
+ minimum = min([min(m) for m in matrix])
+
+ maximum = max([max(m) for m in matrix]) - minimum
+
+ for y in xrange(size[1]):
+ for x in xrange(size[0]):
+ new_image_l[x, y] = (float(matrix[x][y] - minimum) / maximum) * 255
- return new_image
+ return new_image
+
+ def all_lines(self, image):
+ im_l = image.load()
+ lines = []
+ for x in xrange(image.size[0]):
+ for y in xrange(image.size[1]):
+ if im_l[x, y]:
+ lines.append(self.angle_distance((x, y)))
+ return lines
+
+ def find_angle_distance(self, image):
+ image_l = image.load()
+
+ points = []
+
+ count = 0
+ point_x = 0
+ point_y = 0
+ for x in xrange(image.size[0] / 2):
+ for y in xrange(image.size[1] / 2, image.size[1]):
+ if image_l[x, y]:
+ count += 1
+ point_x += x
+ point_y += y
+ points.append((float(point_x) / count, float(point_y) / count))
+
+ count = 0
+ point_x = 0
+ point_y = 0
+ for x in xrange(image.size[0] / 2, image.size[0]):
+ for y in xrange(image.size[1] / 2, image.size[1]):
+ if image_l[x, y]:
+ count += 1
+ point_x += x
+ point_y += y
+ points.append((float(point_x) / count, float(point_y) / count))
+
+ return [self.angle_distance(p) for p in points]
+
+ def angle_distance(self, point):
+ return (self.dt * point[1] + self.initial_angle, point[0] - self.size[0] / 2)
+
"""Usage: imago.py file"""
import sys
-import Image
+import math
+import Image, ImageDraw
import im_debug
import filter
-import hough
+from hough import Hough
class UsageError(Exception):
def __init__(self, msg):
def main(*argv):
"""Main function of the program."""
+
+ show_all = False
+
try:
if argv is ():
argv = sys.argv[1:]
if argv == []:
raise UsageError('Missing filename')
if "--help" in argv:
- print __doc__
- return 0
+ print __doc__
+ return 0
+ if "--debug" in argv:
+ show_all = True
except UsageError, err:
print >>sys.stderr, err.msg, "(\"imago.py --help\" for help)"
return 2
- #TODO exception on file error
- image = Image.open(argv[0])
- #im_debug.show(image, "original image")
+ try:
+ image = Image.open(argv[0])
+ except IOError, msg:
+ print >>sys.stderr, msg
+ return 1
+ if show_all:
+ im_debug.show(image, "original image")
im_l = image.convert('L')
- #im_debug.show(im_l, "ITU-R 601-2 luma transform")
+ if show_all:
+ im_debug.show(im_l, "ITU-R 601-2 luma transform")
im_edges = filter.edge_detection(im_l)
- #im_debug.show(im_edges, "edge detection")
-
- im_h = filter.high_pass(im_edges, 80)
- #im_debug.show(im_h, "high pass filter")
+ if show_all:
+ im_debug.show(im_edges, "edge detection")
- im_hough = hough.transform(im_h)
- #im_debug.show(im_hough, "hough transform")
+ im_h = filter.high_pass(im_edges, 100)
+ if show_all:
+ im_debug.show(im_h, "high pass filter")
+
+ hough1 = Hough(im_h.size)
+ im_hough = hough1.transform(im_h)
+ if show_all:
+ im_debug.show(im_hough, "hough transform")
im_h2 = filter.high_pass(im_hough, 120)
- im_debug.show(im_h2, "high pass filter")
+ if show_all:
+ im_debug.show(im_h2, "second high pass filter")
+
+ hough2 = Hough(im_h2.size)
+ im_hough2 = hough2.transform(im_h2)
+ if show_all:
+ im_debug.show(im_hough2, "second hough transform")
+
+ im_h3 = filter.high_pass(im_hough2, 120)
+ if show_all:
+ im_debug.show(im_h3, "third high pass filter")
+
+ lines = hough2.find_angle_distance(im_h3)
+
+ im_lines = Image.new('L', im_h2.size)
+
+ draw = ImageDraw.Draw(im_lines)
+
+ for line in lines:
+ draw.line(line_from_angl_dist(line, im_h2.size), fill=255)
+ if show_all:
+ im_debug.show(im_lines, "lines")
+
+ im_c = combine(im_h2, im_lines)
+ if show_all:
+ im_debug.show(im_c, "first hough x lines")
+
+ collapse(im_c)
+ if show_all:
+ im_debug.show(im_c, "optimalised hough")
+
+ lines = hough1.all_lines(im_c)
+ draw = ImageDraw.Draw(image)
+ for line in lines:
+ draw.line(line_from_angl_dist(line, image.size), fill=(120, 255, 120))
+
+ im_debug.show(image, "the grid")
return 0
+def collapse(image):
+ #HACK
+ im_l = image.load()
+ last = False
+ for y in xrange(image.size[1]):
+ for x in xrange(image.size[0]):
+ if im_l[x,y] and last:
+ im_l[x, y] = 0
+ last = False
+ elif im_l[x, y]:
+ last = True
+ elif last:
+ last = False
+
+def combine(image1, image2):
+ im_l1 = image1.load()
+ im_l2 = image2.load()
+
+ im_n = Image.new('L', image1.size)
+ im_nl = im_n.load()
+
+ for x in xrange(image1.size[0]):
+ for y in xrange(image1.size[1]):
+ if im_l1[x, y] and im_l2[x, y]:
+ im_nl[x, y] = 255
+ return im_n
+
+def line_from_angl_dist((angle, distance), size):
+ x1 = - size[0] / 2
+ y1 = int(round((x1 * math.sin(angle) - distance)/math.cos(angle))) + size[1] / 2
+ x2 = size[0] / 2
+ y2 = int(round((x2 * math.sin(angle) - distance)/math.cos(angle))) + size[1] / 2
+ return [(0, y1), (size[0] - 1, y2)]
+
if __name__ == '__main__':
sys.exit(main())