快速批量Radon变换的Python实现——使用PyTorch函数affine_grid和grid_sample_python实现拉东变换

Radon变换的旋转过程

Radon变换的旋转过程可以使用ndimage.rotate()对图像进行特定角度的旋转，但这个过程比较耗时，不利于投影角度较多或者需要对批量图像进行Radon变换的情况。而通过利用PyTorch中的仿射变换相关函数affine_grid()和grid_sample()也可以实现旋转的过程，可以在GPU上进行运算，Radon变换所需的时间大幅减少。

快速批量Radon变换的Python实现

from scipy import ndimage
import numpy as np
import matplotlib.pyplot as plt
import imageio
from cv2 import cv2
import torch
import torchvision.transforms as transforms
from torch.nn import functional as F
import math

def DiscreteRadonTransform(image, viewnum, batchSize):
    # image: batchSize*imgSize*imgSize
    channels = len(image[0])
    res = torch.zeros((channels, viewnum))
    res = res.cuda()
    for s in range(viewnum):
    
        angle = -math.pi - 180/viewnum*(s+1) * math.pi / 180
        A = np.array([[np.cos(angle), -np.sin(angle)],
                          [np.sin(angle), np.cos(angle)]])
        theta = np.array([[A[0, 0], A[0, 1], 0], [A[1, 0], A[1, 1], 0]])
        theta = torch.from_numpy(theta).type(torch.FloatTensor)
        theta = theta.unsqueeze(0)
        theta = theta.cuda()
        image_temp = torch.from_numpy(image).type(torch.FloatTensor)
        image_temp = image_temp.unsqueeze(1)
        image_temp = image_temp.cuda()
        theta = theta.repeat(batchSize,1,1)
        grid = F.affine_grid(theta, torch.Size((batchSize,1,512,512)))
        rotation = F.grid_sample(image_temp, grid)
        rotation = torch.squeeze(rotation)
        res[:,s] = torch.sum(rotation,dim=0)
        
    return res
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