import numpy as np import torch import torch.nn as nn def get_filter_2d(kernel, kernel_size, channels, no_grad=True): # Reshape to 2d depthwise convolutional weight kernel = kernel.view(1, 1, kernel_size, kernel_size) kernel = kernel.repeat(channels, 1, 1, 1) filter = nn.Conv2d(in_channels=channels, out_channels=channels, kernel_size=kernel_size, groups=channels, bias=False, padding=kernel_size // 2) filter.weight.data = kernel if no_grad: filter.weight.requires_grad = False return filter def get_filter_1d(kernel, kernel_size, channels, no_grad=True): kernel = kernel.view(1, 1, kernel_size) kernel = kernel.repeat(channels, 1, 1) filter = nn.Conv1d(in_channels=channels, out_channels=channels, kernel_size=kernel_size, groups=channels, bias=False, padding=kernel_size // 2) filter.weight.data = kernel if no_grad: filter.weight.requires_grad = False return filter def get_gaussian_kernel_2d(kernel_size, sigma): # Create a x, y coordinate grid of shape (kernel_size, kernel_size, 2) x_coord = torch.arange(kernel_size) x_grid = x_coord.repeat(kernel_size).view(kernel_size, kernel_size) y_grid = x_grid.t() xy_grid = torch.stack([x_grid, y_grid], dim=-1).float() mean = (kernel_size - 1) / 2. variance = sigma ** 2. # Calculate the 2-dimensional gaussian kernel which is # the product of two gaussian distributions for two different # variables (in this case called x and y) gaussian_kernel = (1. / (2. * np.pi * variance)) * torch.exp( -torch.sum((xy_grid - mean) ** 2., dim=-1) / (2 * variance)) # Make sure sum of values in gaussian kernel equals 1. gaussian_kernel = gaussian_kernel / torch.sum(gaussian_kernel) return gaussian_kernel def get_gaussian_kernel_1d(kernel_size, sigma): x_grid = torch.arange(kernel_size) mean = (kernel_size - 1) / 2. variance = sigma ** 2. gaussian_kernel = (1. / ((2. * np.pi) ** 0.5 * sigma)) * torch.exp(-(x_grid - mean) ** 2. / (2 * variance)) gaussian_kernel = gaussian_kernel / torch.sum(gaussian_kernel) return gaussian_kernel def get_hann_kernel_1d(kernel_size, periodic=False): # periodic=False gives symmetric kernel, otherwise equivalent to hann(kernel_size + 1) return torch.hann_window(kernel_size, periodic) def get_triangle_kernel_1d(kernel_size): kernel = torch.zeros(kernel_size) for idx in range(kernel_size): kernel[idx] = 1 - abs((idx - (kernel_size - 1) / 2) / ((kernel_size - 1) / 2)) return kernel def add_gaussian_noise(tensor, mean=0, std=1): noise = torch.randn(tensor.size()) * std + mean noisy_tensor = tensor + noise return noisy_tensor