first commit

basicsr/utils/matlab_functions.py

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+import math
+import numpy as np
+import torch
+
+
+def cubic(x):
+    """cubic function used for calculate_weights_indices."""
+    absx = torch.abs(x)
+    absx2 = absx**2
+    absx3 = absx**3
+    return (1.5 * absx3 - 2.5 * absx2 + 1) * (
+        (absx <= 1).type_as(absx)) + (-0.5 * absx3 + 2.5 * absx2 - 4 * absx + 2) * (((absx > 1) *
+                                                                                     (absx <= 2)).type_as(absx))
+
+
+def calculate_weights_indices(in_length, out_length, scale, kernel, kernel_width, antialiasing):
+    """Calculate weights and indices, used for imresize function.
+
+    Args:
+        in_length (int): Input length.
+        out_length (int): Output length.
+        scale (float): Scale factor.
+        kernel_width (int): Kernel width.
+        antialisaing (bool): Whether to apply anti-aliasing when downsampling.
+    """
+
+    if (scale < 1) and antialiasing:
+        # Use a modified kernel (larger kernel width) to simultaneously
+        # interpolate and antialias
+        kernel_width = kernel_width / scale
+
+    # Output-space coordinates
+    x = torch.linspace(1, out_length, out_length)
+
+    # Input-space coordinates. Calculate the inverse mapping such that 0.5
+    # in output space maps to 0.5 in input space, and 0.5 + scale in output
+    # space maps to 1.5 in input space.
+    u = x / scale + 0.5 * (1 - 1 / scale)
+
+    # What is the left-most pixel that can be involved in the computation?
+    left = torch.floor(u - kernel_width / 2)
+
+    # What is the maximum number of pixels that can be involved in the
+    # computation?  Note: it's OK to use an extra pixel here; if the
+    # corresponding weights are all zero, it will be eliminated at the end
+    # of this function.
+    p = math.ceil(kernel_width) + 2
+
+    # The indices of the input pixels involved in computing the k-th output
+    # pixel are in row k of the indices matrix.
+    indices = left.view(out_length, 1).expand(out_length, p) + torch.linspace(0, p - 1, p).view(1, p).expand(
+        out_length, p)
+
+    # The weights used to compute the k-th output pixel are in row k of the
+    # weights matrix.
+    distance_to_center = u.view(out_length, 1).expand(out_length, p) - indices
+
+    # apply cubic kernel
+    if (scale < 1) and antialiasing:
+        weights = scale * cubic(distance_to_center * scale)
+    else:
+        weights = cubic(distance_to_center)
+
+    # Normalize the weights matrix so that each row sums to 1.
+    weights_sum = torch.sum(weights, 1).view(out_length, 1)
+    weights = weights / weights_sum.expand(out_length, p)
+
+    # If a column in weights is all zero, get rid of it. only consider the
+    # first and last column.
+    weights_zero_tmp = torch.sum((weights == 0), 0)
+    if not math.isclose(weights_zero_tmp[0], 0, rel_tol=1e-6):
+        indices = indices.narrow(1, 1, p - 2)
+        weights = weights.narrow(1, 1, p - 2)
+    if not math.isclose(weights_zero_tmp[-1], 0, rel_tol=1e-6):
+        indices = indices.narrow(1, 0, p - 2)
+        weights = weights.narrow(1, 0, p - 2)
+    weights = weights.contiguous()
+    indices = indices.contiguous()
+    sym_len_s = -indices.min() + 1
+    sym_len_e = indices.max() - in_length
+    indices = indices + sym_len_s - 1
+    return weights, indices, int(sym_len_s), int(sym_len_e)
+
+
+@torch.no_grad()
+def imresize(img, scale, antialiasing=True):
+    """imresize function same as MATLAB.
+
+    It now only supports bicubic.
+    The same scale applies for both height and width.
+
+    Args:
+        img (Tensor | Numpy array):
+            Tensor: Input image with shape (c, h, w), [0, 1] range.
+            Numpy: Input image with shape (h, w, c), [0, 1] range.
+        scale (float): Scale factor. The same scale applies for both height
+            and width.
+        antialisaing (bool): Whether to apply anti-aliasing when downsampling.
+            Default: True.
+
+    Returns:
+        Tensor: Output image with shape (c, h, w), [0, 1] range, w/o round.
+    """
+    squeeze_flag = False
+    if type(img).__module__ == np.__name__:  # numpy type
+        numpy_type = True
+        if img.ndim == 2:
+            img = img[:, :, None]
+            squeeze_flag = True
+        img = torch.from_numpy(img.transpose(2, 0, 1)).float()
+    else:
+        numpy_type = False
+        if img.ndim == 2:
+            img = img.unsqueeze(0)
+            squeeze_flag = True
+
+    in_c, in_h, in_w = img.size()
+    out_h, out_w = math.ceil(in_h * scale), math.ceil(in_w * scale)
+    kernel_width = 4
+    kernel = 'cubic'
+
+    # get weights and indices
+    weights_h, indices_h, sym_len_hs, sym_len_he = calculate_weights_indices(in_h, out_h, scale, kernel, kernel_width,
+                                                                             antialiasing)
+    weights_w, indices_w, sym_len_ws, sym_len_we = calculate_weights_indices(in_w, out_w, scale, kernel, kernel_width,
+                                                                             antialiasing)
+    # process H dimension
+    # symmetric copying
+    img_aug = torch.FloatTensor(in_c, in_h + sym_len_hs + sym_len_he, in_w)
+    img_aug.narrow(1, sym_len_hs, in_h).copy_(img)
+
+    sym_patch = img[:, :sym_len_hs, :]
+    inv_idx = torch.arange(sym_patch.size(1) - 1, -1, -1).long()
+    sym_patch_inv = sym_patch.index_select(1, inv_idx)
+    img_aug.narrow(1, 0, sym_len_hs).copy_(sym_patch_inv)
+
+    sym_patch = img[:, -sym_len_he:, :]
+    inv_idx = torch.arange(sym_patch.size(1) - 1, -1, -1).long()
+    sym_patch_inv = sym_patch.index_select(1, inv_idx)
+    img_aug.narrow(1, sym_len_hs + in_h, sym_len_he).copy_(sym_patch_inv)
+
+    out_1 = torch.FloatTensor(in_c, out_h, in_w)
+    kernel_width = weights_h.size(1)
+    for i in range(out_h):
+        idx = int(indices_h[i][0])
+        for j in range(in_c):
+            out_1[j, i, :] = img_aug[j, idx:idx + kernel_width, :].transpose(0, 1).mv(weights_h[i])
+
+    # process W dimension
+    # symmetric copying
+    out_1_aug = torch.FloatTensor(in_c, out_h, in_w + sym_len_ws + sym_len_we)
+    out_1_aug.narrow(2, sym_len_ws, in_w).copy_(out_1)
+
+    sym_patch = out_1[:, :, :sym_len_ws]
+    inv_idx = torch.arange(sym_patch.size(2) - 1, -1, -1).long()
+    sym_patch_inv = sym_patch.index_select(2, inv_idx)
+    out_1_aug.narrow(2, 0, sym_len_ws).copy_(sym_patch_inv)
+
+    sym_patch = out_1[:, :, -sym_len_we:]
+    inv_idx = torch.arange(sym_patch.size(2) - 1, -1, -1).long()
+    sym_patch_inv = sym_patch.index_select(2, inv_idx)
+    out_1_aug.narrow(2, sym_len_ws + in_w, sym_len_we).copy_(sym_patch_inv)
+
+    out_2 = torch.FloatTensor(in_c, out_h, out_w)
+    kernel_width = weights_w.size(1)
+    for i in range(out_w):
+        idx = int(indices_w[i][0])
+        for j in range(in_c):
+            out_2[j, :, i] = out_1_aug[j, :, idx:idx + kernel_width].mv(weights_w[i])
+
+    if squeeze_flag:
+        out_2 = out_2.squeeze(0)
+    if numpy_type:
+        out_2 = out_2.numpy()
+        if not squeeze_flag:
+            out_2 = out_2.transpose(1, 2, 0)
+
+    return out_2