Blend overlapping images in python

If you'd like a soft edge when stitching two images together you could blend them with a sigmoid function.

Here is a simple grayscale example:

import numpy as np
import matplotlib.image
import math

def sigmoid(x):
  y = np.zeros(len(x))
  for i in range(len(x)):
    y[i] = 1 / (1 + math.exp(-x[i]))
  return y

sigmoid_ = sigmoid(np.arange(-1, 1, 1/50))
alpha = np.repeat(sigmoid_.reshape((len(sigmoid_), 1)), repeats=100, axis=1)

image1_connect = np.ones((100, 100))
image2_connect = np.zeros((100, 100))
out = image1_connect * (1.0 - alpha) + image2_connect * alpha
matplotlib.image.imsave('blend.png', out, cmap = 'gray')

If you blend white and black squares result will look something like that:

enter image description here + enter image description here = enter image description here


PIL has a blend function which combines two RGB images with a fixed alpha:

out = image1 * (1.0 - alpha) + image2 * alpha

However, to use blend, image1 and image2 must be the same size. So to prepare your images you'll need to paste each of them into a new image of the appropriate (combined) size.

Since blending with alpha=0.5 averages the RGB values from both images equally, we need to make two versions of the panorama -- one with img1 one top and one with img2 on top. Then regions with no overlap have RGB values which agree (so their averages will remain unchanged) and regions of overlap will get blended as desired.


import operator
from PIL import Image
from PIL import ImageDraw

# suppose img1 and img2 are your two images
img1 = Image.new('RGB', size=(100, 100), color=(255, 0, 0))
img2 = Image.new('RGB', size=(120, 130), color=(0, 255, 0))

# suppose img2 is to be shifted by `shift` amount 
shift = (50, 60)

# compute the size of the panorama
nw, nh = map(max, map(operator.add, img2.size, shift), img1.size)

# paste img1 on top of img2
newimg1 = Image.new('RGBA', size=(nw, nh), color=(0, 0, 0, 0))
newimg1.paste(img2, shift)
newimg1.paste(img1, (0, 0))

# paste img2 on top of img1
newimg2 = Image.new('RGBA', size=(nw, nh), color=(0, 0, 0, 0))
newimg2.paste(img1, (0, 0))
newimg2.paste(img2, shift)

# blend with alpha=0.5
result = Image.blend(newimg1, newimg2, alpha=0.5)

img1:

enter image description here

img2:

enter image description here

result:

enter image description here


If you have two RGBA images here is a way to perform alpha compositing.