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151 changes: 78 additions & 73 deletions bicubic.py
Original file line number Diff line number Diff line change
@@ -1,97 +1,102 @@
import cv2
import numpy as np
import math
import sys, time
import sys
import time


# Interpolation kernel
def u(s,a):
if (abs(s) >=0) & (abs(s) <=1):
return (a+2)*(abs(s)**3)-(a+3)*(abs(s)**2)+1
elif (abs(s) > 1) & (abs(s) <= 2):
return a*(abs(s)**3)-(5*a)*(abs(s)**2)+(8*a)*abs(s)-4*a
def u(s, a):
abs_s = abs(s)
if 0 <= abs_s <= 1:
return (a + 2) * (abs_s ** 3) - (a + 3) * (abs_s ** 2) + 1
elif 1 < abs_s <= 2:
return a * (abs_s ** 3) - (5 * a) * (abs_s ** 2) + (8 * a) * abs_s - 4 * a
return 0

#Paddnig
def padding(img,H,W,C):
zimg = np.zeros((H+4,W+4,C))
zimg[2:H+2,2:W+2,:C] = img
#Pad the first/last two col and row
zimg[2:H+2,0:2,:C]=img[:,0:1,:C]
zimg[H+2:H+4,2:W+2,:]=img[H-1:H,:,:]
zimg[2:H+2,W+2:W+4,:]=img[:,W-1:W,:]
zimg[0:2,2:W+2,:C]=img[0:1,:,:C]
#Pad the missing eight points
zimg[0:2,0:2,:C]=img[0,0,:C]
zimg[H+2:H+4,0:2,:C]=img[H-1,0,:C]
zimg[H+2:H+4,W+2:W+4,:C]=img[H-1,W-1,:C]
zimg[0:2,W+2:W+4,:C]=img[0,W-1,:C]

# Paddnig
def padding(img, H, W, C):
zimg = np.zeros((H + 4, W + 4, C))
zimg[2:H + 2, 2:W + 2, :C] = img
# Pad the first/last two col and row
zimg[2:H + 2, 0:2, :C] = img[:, 0:1, :C]
zimg[H + 2:H + 4, 2:W + 2, :] = img[H - 1:H, :, :]
zimg[2:H + 2, W + 2:W + 4, :] = img[:, W - 1:W, :]
zimg[0:2, 2:W + 2, :C] = img[0:1, :, :C]
# Pad the missing eight points
zimg[0:2, 0:2, :C] = img[0, 0, :C]
zimg[H + 2:H + 4, 0:2, :C] = img[H - 1, 0, :C]
zimg[H + 2:H + 4, W + 2:W + 4, :C] = img[H - 1, W - 1, :C]
zimg[0:2, W + 2:W + 4, :C] = img[0, W - 1, :C]
return zimg


# https://github.com/yunabe/codelab/blob/master/misc/terminal_progressbar/progress.py
def get_progressbar_str(progress):
END = 170
MAX_LEN = 30
BAR_LEN = int(MAX_LEN * progress)
return ('Progress:[' + '=' * BAR_LEN +
('>' if BAR_LEN < MAX_LEN else '') +
' ' * (MAX_LEN - BAR_LEN) +
'] %.1f%%' % (progress * 100.))
def get_progressbar_str(progress, max_len=30):
bar_len = int(max_len * progress)
progr_part = '=' * bar_len
progr_marker = '>' if bar_len < max_len else ''
progr_empty = ' ' * (max_len - bar_len)
return f'Progress:[{progr_part}{progr_marker}{progr_empty}] {progress * 100:.1f}%'


# Bicubic operation
def bicubic(img, ratio, a):
#Get image size
H,W,C = img.shape
# Get image size
H, W, C = img.shape

img = padding(img,H,W,C)
#Create new image
dH = math.floor(H*ratio)
dW = math.floor(W*ratio)
img = padding(img, H, W, C)
# Create new image
dH = math.floor(H * ratio)
dW = math.floor(W * ratio)
dst = np.zeros((dH, dW, 3))

h = 1/ratio
h = 1 / ratio

print('Start bicubic interpolation')
print('It will take a little while...')
inc = 0
for c in range(C):
for j in range(dH):
for i in range(dW):
x, y = i * h + 2 , j * h + 2

x1 = 1 + x - math.floor(x)
x2 = x - math.floor(x)
x3 = math.floor(x) + 1 - x
x4 = math.floor(x) + 2 - x

y1 = 1 + y - math.floor(y)
y2 = y - math.floor(y)
y3 = math.floor(y) + 1 - y
y4 = math.floor(y) + 2 - y

mat_l = np.matrix([[u(x1,a),u(x2,a),u(x3,a),u(x4,a)]])
mat_m = np.matrix([[img[int(y-y1),int(x-x1),c],img[int(y-y2),int(x-x1),c],img[int(y+y3),int(x-x1),c],img[int(y+y4),int(x-x1),c]],
[img[int(y-y1),int(x-x2),c],img[int(y-y2),int(x-x2),c],img[int(y+y3),int(x-x2),c],img[int(y+y4),int(x-x2),c]],
[img[int(y-y1),int(x+x3),c],img[int(y-y2),int(x+x3),c],img[int(y+y3),int(x+x3),c],img[int(y+y4),int(x+x3),c]],
[img[int(y-y1),int(x+x4),c],img[int(y-y2),int(x+x4),c],img[int(y+y3),int(x+x4),c],img[int(y+y4),int(x+x4),c]]])
mat_r = np.matrix([[u(y1,a)],[u(y2,a)],[u(y3,a)],[u(y4,a)]])
dst[j, i, c] = np.dot(np.dot(mat_l, mat_m),mat_r)

# Print progress
inc = inc + 1
sys.stderr.write('\r\033[K' + get_progressbar_str(inc/(C*dH*dW)))
sys.stderr.flush()
sys.stderr.write('\n')
sys.stderr.flush()
for j in range(dH):
for i in range(dW):
x, y = i * h + 2, j * h + 2

xdec, xint = math.modf(x)
xds = [abs(xdec - k) for k in range(-1, 3)]
xint = int(xint)
ydec, yint = math.modf(y)
yds = [abs(ydec - k) for k in range(-1, 3)]
yint = int(yint)

mat_l = np.matrix([[u(xd, a) for xd in xds]])
mat_r = np.matrix([[u(yd, a)] for yd in yds])
for c in range(C):
mat_m = np.transpose(np.matrix(img[yint - 1:yint + 3, xint - 1:xint + 3, c]))
dst[j, i, c] = (mat_l @ mat_m) @ mat_r

# Print progress
inc = inc + 1
if inc % 100 == 1:
print(f'\r\033[K{get_progressbar_str(inc / (dH * dW))}', file = sys.stderr, end='')
print(f'\r\033[K{get_progressbar_str(1.0)}', file=sys.stderr)
return dst

# Read image
img = cv2.imread('butterfly.png')

# Scale factor
ratio = 2
# Coefficient
a = -1/2
if __name__ == '__main__':
# Read image
orig_img = cv2.imread('butterfly.png')

# Scale factor
ratio = 2
# Coefficient
a = -1 / 2

start_time = time.time()

result_img = bicubic(orig_img, ratio, a)
print('Completed!')

stop_time = time.time()
print(f'Elapsed time: {stop_time - start_time:.3f}s')

dst = bicubic(img, ratio, a)
print('Completed!')
cv2.imwrite('bicubic_butterfly.png', dst)
cv2.imwrite('bicubic_butterfly.png', result_img)
2 changes: 2 additions & 0 deletions requirements.txt
Original file line number Diff line number Diff line change
@@ -0,0 +1,2 @@
opencv-python
numpy