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|
| import torch |
| from torch import nn |
| import numpy as np |
|
|
|
|
| class FourierPositionEncoding(nn.Module): |
| def __init__(self, n, num_bands, max_resolution): |
| """ |
| Module that generate Fourier encoding - no learning involved |
| """ |
| super().__init__() |
|
|
| self.num_bands = num_bands |
| self.max_resolution = [max_resolution] * n |
|
|
| @property |
| def channels(self): |
| """ |
| Return the output dimension |
| """ |
| num_dims = len(self.max_resolution) |
| encoding_size = self.num_bands * num_dims |
| encoding_size *= 2 |
| encoding_size += num_dims |
|
|
| return encoding_size |
|
|
| def forward(self, pos): |
| """ |
| Forward pass that take rays as input and generate Fourier positional encodings |
| """ |
| fourier_pos_enc = _generate_fourier_features( |
| pos, num_bands=self.num_bands, max_resolution=self.max_resolution |
| ) |
| return fourier_pos_enc |
|
|
|
|
| def _generate_fourier_features(pos, num_bands, max_resolution): |
| """Generate fourier features from a given set of positions and frequencies""" |
| b, n = pos.shape[:2] |
| device = pos.device |
|
|
| |
| min_freq = 1.0 |
| freq_bands = torch.stack( |
| [ |
| torch.linspace(start=min_freq, end=res / 2, steps=num_bands, device=device) |
| for res in max_resolution |
| ], |
| dim=0, |
| ) |
|
|
| |
| per_pos_features = torch.stack( |
| [pos[i, :, :][:, :, None] * freq_bands[None, :, :] for i in range(b)], 0 |
| ) |
| per_pos_features = per_pos_features.reshape(b, n, -1) |
|
|
| |
| per_pos_features = torch.cat( |
| [torch.sin(np.pi * per_pos_features), torch.cos(np.pi * per_pos_features)], |
| dim=-1, |
| ) |
|
|
| |
| per_pos_features = torch.cat([pos, per_pos_features], dim=-1) |
|
|
| return per_pos_features |
|
|