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Copy pathstereo3_SGM.py
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90 lines (69 loc) · 3.19 KB
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# Stereo Matching using Semi-Global Matching - smoothness cost function approach
# Computes a disparity map from a rectified stereo pair using Semi-Global Matching
import numpy as np
import cv2 as cv
import matplotlib.pyplot as plt
from genericFunctions import *
# Set parameters
dispLevels = 16 #disparity range: 0 to dispLevels-1
lambda_ = 10 #weight of smoothness cost
trunc = 2 #truncation of smoothness cost
# Define matching cost function
computeMatchingCost = lambda left,right: np.absolute(left-right) #absolute differences
# Define smoothness cost function
computeSmoothnessCost = lambda d1,d2: lambda_*np.minimum(np.absolute(d1-d2),trunc)
# Load left and right images in grayscale
leftImg = cv.imread("left.png",cv.IMREAD_GRAYSCALE)
rightImg = cv.imread("right.png",cv.IMREAD_GRAYSCALE)
# Apply a Gaussian filter
leftImg = cv.GaussianBlur(leftImg,(5,5),0.6)
rightImg = cv.GaussianBlur(rightImg,(5,5),0.6)
# Get the size
(rows,cols) = leftImg.shape
# Convert to int32
leftImg = leftImg.astype(np.int32)
rightImg = rightImg.astype(np.int32)
# Compute pixel-based matching costs
matchingCosts = np.zeros((rows,cols,dispLevels),dtype=np.int32)
for d in range(dispLevels):
rightImgShifted = shiftRight(rightImg,d,0)
matchingCosts[:,:,d] = computeMatchingCost(leftImg,rightImgShifted)
# Compute smoothness costs
d = np.arange(dispLevels)
smoothnessCosts = computeSmoothnessCost(d,d[np.newaxis,:].T)
smoothnessCosts = smoothnessCosts[np.newaxis,np.newaxis,:,:].astype(np.int32)
# Initialize minimum cost paths for the 4 directions
fromLeft = np.zeros((rows,cols,dispLevels),dtype=np.int32)
fromRight = np.zeros((rows,cols,dispLevels),dtype=np.int32)
fromUp = np.zeros((rows,cols,dispLevels),dtype=np.int32)
fromDown = np.zeros((rows,cols,dispLevels),dtype=np.int32)
# Compute minimum cost paths for left to right direction
for x in range(cols-1):
currentCosts = (matchingCosts[:,x,:] + fromLeft[:,x,:])[:,np.newaxis,:]
fromLeft[:,x+1,:] = computeCosts_BpLike(currentCosts,smoothnessCosts)[:,0,:]
# Compute minimum cost paths for right to left direction
for x in range(cols-1,0,-1):
currentCosts = (matchingCosts[:,x,:] + fromRight[:,x,:])[:,np.newaxis,:]
fromRight[:,x-1,:] = computeCosts_BpLike(currentCosts,smoothnessCosts)[:,0,:]
# Compute minimum cost paths for up to down direction
for y in range(rows-1):
currentCosts = (matchingCosts[y,:,:] + fromUp[y,:,:])[np.newaxis,:,:]
fromUp[y+1,:,:] = computeCosts_BpLike(currentCosts,smoothnessCosts)[0,:,:]
# Compute minimum cost paths for down to up direction
for y in range(rows-1,0,-1):
currentCosts = (matchingCosts[y,:,:] + fromDown[y,:,:])[np.newaxis,:,:]
fromDown[y-1,:,:] = computeCosts_BpLike(currentCosts,smoothnessCosts)[0,:,:]
# Compute total costs
totalCosts = fromLeft + fromRight + fromUp + fromDown
# Compute the disparity map
dispMap = np.argmin(totalCosts,axis=2)
# Normalize the disparity map for display
scaleFactor = 256/dispLevels
dispImg = (dispMap*scaleFactor).astype(np.uint8)
# Show disparity map
plt.imshow(dispImg,cmap="gray")
plt.show(block=False)
plt.pause(0.01)
# Save disparity map
cv.imwrite("disparity3_SGM.png",dispImg)
plt.show()