# -*- coding: utf-8 -*- # Example from [http://nayefreza.wordpress.com/2013/05/11/zhang-suen-thinning-algorithm-java-implementation/ this blog post]. beforeTxt = '''\ 1100111 1100111 1100111 1100111 1100110 1100110 1100110 1100110 1100110 1100110 1100110 1100110 1111110 0000000\ ''' # Thanks to [http://www.network-science.de/ascii/ this site] and vim for these next two examples smallrc01 = '''\ 00000000000000000000000000000000 01111111110000000111111110000000 01110001111000001111001111000000 01110000111000001110000111000000 01110001111000001110000000000000 01111111110000001110000000000000 01110111100000001110000111000000 01110011110011101111001111011100 01110001111011100111111110011100 00000000000000000000000000000000\ ''' rc01 = '''\ 00000000000000000000000000000000000000000000000000000000000 01111111111111111100000000000000000001111111111111000000000 01111111111111111110000000000000001111111111111111000000000 01111111111111111111000000000000111111111111111111000000000 01111111100000111111100000000001111111111111111111000000000 00011111100000111111100000000011111110000000111111000000000 00011111100000111111100000000111111100000000000000000000000 00011111111111111111000000000111111100000000000000000000000 00011111111111111110000000000111111100000000000000000000000 00011111111111111111000000000111111100000000000000000000000 00011111100000111111100000000111111100000000000000000000000 00011111100000111111100000000111111100000000000000000000000 00011111100000111111100000000011111110000000111111000000000 01111111100000111111100000000001111111111111111111000000000 01111111100000111111101111110000111111111111111111011111100 01111111100000111111101111110000001111111111111111011111100 01111111100000111111101111110000000001111111111111011111100 00000000000000000000000000000000000000000000000000000000000\ ''' def intarray(binstring): '''Change a 2D matrix of 01 chars into a list of lists of ints''' return [[1 if ch == '1' else 0 for ch in line] for line in binstring.strip().split()] def chararray(intmatrix): '''Change a 2d list of lists of 1/0 ints into lines of 1/0 chars''' return '\n'.join(''.join(str(p) for p in row) for row in intmatrix) def toTxt(intmatrix): '''Change a 2d list of lists of 1/0 ints into lines of '#' and '.' chars''' return '\n'.join(''.join(('#' if p else '.') for p in row) for row in intmatrix) def neighbours(x, y, image): '''Return 8-neighbours of point p1 of picture, in order''' i = image x1, y1, x_1, y_1 = x+1, y-1, x-1, y+1 #print ((x,y)) return [i[y1][x], i[y1][x1], i[y][x1], i[y_1][x1], # P2,P3,P4,P5 i[y_1][x], i[y_1][x_1], i[y][x_1], i[y1][x_1]] # P6,P7,P8,P9 def transitions(neighbours): n = neighbours + neighbours[0:1] # P2, ... P9, P2 return sum((n1, n2) == (0, 1) for n1, n2 in zip(n, n[1:])) def zhangSuen(image): changing1 = changing2 = [(-1, -1)] while changing1 or changing2: # Step 1 changing1 = [] for y in range(1, len(image) - 1): for x in range(1, len(image[0]) - 1): P2,P3,P4,P5,P6,P7,P8,P9 = n = neighbours(x, y, image) if (image[y][x] == 1 and # (Condition 0) P4 * P6 * P8 == 0 and # Condition 4 P2 * P4 * P6 == 0 and # Condition 3 transitions(n) == 1 and # Condition 2 2 <= sum(n) <= 6): # Condition 1 changing1.append((x,y)) for x, y in changing1: image[y][x] = 0 # Step 2 changing2 = [] for y in range(1, len(image) - 1): for x in range(1, len(image[0]) - 1): P2,P3,P4,P5,P6,P7,P8,P9 = n = neighbours(x, y, image) if (image[y][x] == 1 and # (Condition 0) P2 * P6 * P8 == 0 and # Condition 4 P2 * P4 * P8 == 0 and # Condition 3 transitions(n) == 1 and # Condition 2 2 <= sum(n) <= 6): # Condition 1 changing2.append((x,y)) for x, y in changing2: image[y][x] = 0 #print changing1 #print changing2 return image if __name__ == '__main__': for picture in (beforeTxt, smallrc01, rc01): image = intarray(picture) print('\nFrom:\n%s' % toTxt(image)) after = zhangSuen(image) print('\nTo thinned:\n%s' % toTxt(after))