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import numpy as np |
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import torch |
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import torch.nn as nn |
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import torch.nn.functional as F |
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from mmocr.models.builder import PREPROCESSOR |
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from .base_preprocessor import BasePreprocessor |
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@PREPROCESSOR.register_module() |
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class TPSPreprocessor(BasePreprocessor): |
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"""Rectification Network of RARE, namely TPS based STN in |
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https://arxiv.org/pdf/1603.03915.pdf. |
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Args: |
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num_fiducial (int): Number of fiducial points of TPS-STN. |
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img_size (tuple(int, int)): Size :math:`(H, W)` of the input image. |
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rectified_img_size (tuple(int, int)): Size :math:`(H_r, W_r)` of |
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the rectified image. |
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num_img_channel (int): Number of channels of the input image. |
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init_cfg (dict or list[dict], optional): Initialization configs. |
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""" |
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def __init__(self, |
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num_fiducial=20, |
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img_size=(32, 100), |
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rectified_img_size=(32, 100), |
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num_img_channel=1, |
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init_cfg=None): |
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super().__init__(init_cfg=init_cfg) |
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assert isinstance(num_fiducial, int) |
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assert num_fiducial > 0 |
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assert isinstance(img_size, tuple) |
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assert isinstance(rectified_img_size, tuple) |
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assert isinstance(num_img_channel, int) |
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self.num_fiducial = num_fiducial |
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self.img_size = img_size |
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self.rectified_img_size = rectified_img_size |
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self.num_img_channel = num_img_channel |
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self.LocalizationNetwork = LocalizationNetwork(self.num_fiducial, |
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self.num_img_channel) |
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self.GridGenerator = GridGenerator(self.num_fiducial, |
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self.rectified_img_size) |
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def forward(self, batch_img): |
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""" |
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Args: |
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batch_img (Tensor): Images to be rectified with size |
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:math:`(N, C, H, W)`. |
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Returns: |
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Tensor: Rectified image with size :math:`(N, C, H_r, W_r)`. |
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""" |
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batch_C_prime = self.LocalizationNetwork( |
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batch_img) |
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build_P_prime = self.GridGenerator.build_P_prime( |
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batch_C_prime, batch_img.device |
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) |
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build_P_prime_reshape = build_P_prime.reshape([ |
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build_P_prime.size(0), self.rectified_img_size[0], |
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self.rectified_img_size[1], 2 |
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]) |
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batch_rectified_img = F.grid_sample( |
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batch_img, |
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build_P_prime_reshape, |
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padding_mode='border', |
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align_corners=True) |
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return batch_rectified_img |
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class LocalizationNetwork(nn.Module): |
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"""Localization Network of RARE, which predicts C' (K x 2) from input |
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(img_width x img_height) |
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Args: |
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num_fiducial (int): Number of fiducial points of TPS-STN. |
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num_img_channel (int): Number of channels of the input image. |
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""" |
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def __init__(self, num_fiducial, num_img_channel): |
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super().__init__() |
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self.num_fiducial = num_fiducial |
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self.num_img_channel = num_img_channel |
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self.conv = nn.Sequential( |
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nn.Conv2d( |
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in_channels=self.num_img_channel, |
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out_channels=64, |
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kernel_size=3, |
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stride=1, |
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padding=1, |
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bias=False), |
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nn.BatchNorm2d(64), |
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nn.ReLU(True), |
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nn.MaxPool2d(2, 2), |
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nn.Conv2d(64, 128, 3, 1, 1, bias=False), |
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nn.BatchNorm2d(128), |
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nn.ReLU(True), |
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nn.MaxPool2d(2, 2), |
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nn.Conv2d(128, 256, 3, 1, 1, bias=False), |
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nn.BatchNorm2d(256), |
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nn.ReLU(True), |
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nn.MaxPool2d(2, 2), |
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nn.Conv2d(256, 512, 3, 1, 1, bias=False), |
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nn.BatchNorm2d(512), |
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nn.ReLU(True), |
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nn.AdaptiveAvgPool2d(1) |
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) |
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self.localization_fc1 = nn.Sequential( |
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nn.Linear(512, 256), nn.ReLU(True)) |
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self.localization_fc2 = nn.Linear(256, self.num_fiducial * 2) |
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self.localization_fc2.weight.data.fill_(0) |
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ctrl_pts_x = np.linspace(-1.0, 1.0, int(num_fiducial / 2)) |
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ctrl_pts_y_top = np.linspace(0.0, -1.0, num=int(num_fiducial / 2)) |
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ctrl_pts_y_bottom = np.linspace(1.0, 0.0, num=int(num_fiducial / 2)) |
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ctrl_pts_top = np.stack([ctrl_pts_x, ctrl_pts_y_top], axis=1) |
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ctrl_pts_bottom = np.stack([ctrl_pts_x, ctrl_pts_y_bottom], axis=1) |
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initial_bias = np.concatenate([ctrl_pts_top, ctrl_pts_bottom], axis=0) |
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self.localization_fc2.bias.data = torch.from_numpy( |
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initial_bias).float().view(-1) |
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def forward(self, batch_img): |
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""" |
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Args: |
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batch_img (Tensor): Batch input image of shape |
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:math:`(N, C, H, W)`. |
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Returns: |
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Tensor: Predicted coordinates of fiducial points for input batch. |
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The shape is :math:`(N, F, 2)` where :math:`F` is ``num_fiducial``. |
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""" |
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batch_size = batch_img.size(0) |
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features = self.conv(batch_img).view(batch_size, -1) |
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batch_C_prime = self.localization_fc2( |
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self.localization_fc1(features)).view(batch_size, |
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self.num_fiducial, 2) |
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return batch_C_prime |
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class GridGenerator(nn.Module): |
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"""Grid Generator of RARE, which produces P_prime by multiplying T with P. |
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Args: |
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num_fiducial (int): Number of fiducial points of TPS-STN. |
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rectified_img_size (tuple(int, int)): |
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Size :math:`(H_r, W_r)` of the rectified image. |
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""" |
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def __init__(self, num_fiducial, rectified_img_size): |
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"""Generate P_hat and inv_delta_C for later.""" |
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super().__init__() |
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self.eps = 1e-6 |
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self.rectified_img_height = rectified_img_size[0] |
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self.rectified_img_width = rectified_img_size[1] |
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self.num_fiducial = num_fiducial |
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self.C = self._build_C(self.num_fiducial) |
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self.P = self._build_P(self.rectified_img_width, |
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self.rectified_img_height) |
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self.register_buffer( |
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'inv_delta_C', |
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torch.tensor(self._build_inv_delta_C( |
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self.num_fiducial, |
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self.C)).float()) |
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self.register_buffer('P_hat', |
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torch.tensor( |
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self._build_P_hat( |
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self.num_fiducial, self.C, |
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self.P)).float()) |
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def _build_C(self, num_fiducial): |
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"""Return coordinates of fiducial points in rectified_img; C.""" |
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ctrl_pts_x = np.linspace(-1.0, 1.0, int(num_fiducial / 2)) |
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ctrl_pts_y_top = -1 * np.ones(int(num_fiducial / 2)) |
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ctrl_pts_y_bottom = np.ones(int(num_fiducial / 2)) |
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ctrl_pts_top = np.stack([ctrl_pts_x, ctrl_pts_y_top], axis=1) |
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ctrl_pts_bottom = np.stack([ctrl_pts_x, ctrl_pts_y_bottom], axis=1) |
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C = np.concatenate([ctrl_pts_top, ctrl_pts_bottom], axis=0) |
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return C |
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def _build_inv_delta_C(self, num_fiducial, C): |
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"""Return inv_delta_C which is needed to calculate T.""" |
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hat_C = np.zeros((num_fiducial, num_fiducial), dtype=float) |
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for i in range(0, num_fiducial): |
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for j in range(i, num_fiducial): |
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r = np.linalg.norm(C[i] - C[j]) |
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hat_C[i, j] = r |
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hat_C[j, i] = r |
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np.fill_diagonal(hat_C, 1) |
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hat_C = (hat_C**2) * np.log(hat_C) |
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delta_C = np.concatenate( |
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[ |
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np.concatenate([np.ones((num_fiducial, 1)), C, hat_C], |
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axis=1), |
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np.concatenate([np.zeros( |
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(2, 3)), np.transpose(C)], axis=1), |
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np.concatenate([np.zeros( |
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(1, 3)), np.ones((1, num_fiducial))], |
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axis=1) |
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], |
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axis=0) |
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inv_delta_C = np.linalg.inv(delta_C) |
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return inv_delta_C |
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def _build_P(self, rectified_img_width, rectified_img_height): |
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rectified_img_grid_x = ( |
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np.arange(-rectified_img_width, rectified_img_width, 2) + |
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1.0) / rectified_img_width |
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rectified_img_grid_y = ( |
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np.arange(-rectified_img_height, rectified_img_height, 2) + |
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1.0) / rectified_img_height |
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P = np.stack( |
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np.meshgrid(rectified_img_grid_x, rectified_img_grid_y), |
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axis=2) |
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return P.reshape([ |
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-1, 2 |
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]) |
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def _build_P_hat(self, num_fiducial, C, P): |
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n = P.shape[ |
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0] |
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P_tile = np.tile(np.expand_dims(P, axis=1), |
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(1, num_fiducial, |
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1)) |
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C_tile = np.expand_dims(C, axis=0) |
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P_diff = P_tile - C_tile |
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rbf_norm = np.linalg.norm( |
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P_diff, ord=2, axis=2, keepdims=False) |
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rbf = np.multiply(np.square(rbf_norm), |
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np.log(rbf_norm + self.eps)) |
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P_hat = np.concatenate([np.ones((n, 1)), P, rbf], axis=1) |
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return P_hat |
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def build_P_prime(self, batch_C_prime, device='cuda'): |
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"""Generate Grid from batch_C_prime [batch_size x num_fiducial x 2]""" |
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batch_size = batch_C_prime.size(0) |
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batch_inv_delta_C = self.inv_delta_C.repeat(batch_size, 1, 1) |
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batch_P_hat = self.P_hat.repeat(batch_size, 1, 1) |
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batch_C_prime_with_zeros = torch.cat( |
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(batch_C_prime, torch.zeros(batch_size, 3, 2).float().to(device)), |
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dim=1) |
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batch_T = torch.bmm( |
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batch_inv_delta_C, |
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batch_C_prime_with_zeros) |
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batch_P_prime = torch.bmm(batch_P_hat, batch_T) |
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return batch_P_prime |
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