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| from typing import List, Optional, Tuple, Union |
| import torch |
|
|
|
|
| |
| def ind_sel(target: torch.Tensor, ind: torch.Tensor, dim: int = 1): |
| """ |
| :param target: [... (can be k or 1), n > M, ...] |
| :param ind: [... (k), M] |
| :param dim: dim to apply index on |
| :return: sel_target [... (k), M, ...] |
| """ |
| assert ( |
| len(ind.shape) > dim |
| ), "Index must have the target dim, but get dim: %d, ind shape: %s" % (dim, str(ind.shape)) |
|
|
| target = target.expand( |
| *tuple( |
| [ind.shape[k] if target.shape[k] == 1 else -1 for k in range(dim)] |
| + [ |
| -1, |
| ] |
| * (len(target.shape) - dim) |
| ) |
| ) |
|
|
| ind_pad = ind |
|
|
| if len(target.shape) > dim + 1: |
| for _ in range(len(target.shape) - (dim + 1)): |
| ind_pad = ind_pad.unsqueeze(-1) |
| ind_pad = ind_pad.expand(*(-1,) * (dim + 1), *target.shape[(dim + 1) : :]) |
|
|
| return torch.gather(target, dim=dim, index=ind_pad) |
|
|
|
|
| def merge_final(vert_attr: torch.Tensor, weight: torch.Tensor, vert_assign: torch.Tensor): |
| """ |
| |
| :param vert_attr: [n, d] or [b, n, d] color or feature of each vertex |
| :param weight: [b(optional), w, h, M] weight of selected vertices |
| :param vert_assign: [b(optional), w, h, M] selective index |
| :return: |
| """ |
| target_dim = len(vert_assign.shape) - 1 |
| if len(vert_attr.shape) == 2: |
| assert vert_attr.shape[0] > vert_assign.max() |
| |
| sel_attr = ind_sel( |
| vert_attr[(None,) * target_dim], vert_assign.type(torch.long), dim=target_dim |
| ) |
| else: |
| assert vert_attr.shape[1] > vert_assign.max() |
| sel_attr = ind_sel( |
| vert_attr[(slice(None),) + (None,)*(target_dim-1)], vert_assign.type(torch.long), dim=target_dim |
| ) |
|
|
| |
| final_attr = torch.sum(sel_attr * weight.unsqueeze(-1), dim=-2) |
| return final_attr |
|
|
|
|
| def patch_motion( |
| tracks: torch.FloatTensor, |
| vid: torch.FloatTensor, |
| temperature: float = 220.0, |
| training: bool = True, |
| tail_dropout: float = 0.2, |
| vae_divide: tuple = (4, 16), |
| topk: int = 2, |
| ): |
| with torch.no_grad(): |
| _, T, H, W = vid.shape |
| N = tracks.shape[2] |
| _, tracks, visible = torch.split( |
| tracks, [1, 2, 1], dim=-1 |
| ) |
| tracks_n = tracks / torch.tensor([W / min(H, W), H / min(H, W)], device=tracks.device) |
| tracks_n = tracks_n.clamp(-1, 1) |
| visible = visible.clamp(0, 1) |
|
|
| if tail_dropout > 0 and training: |
| TT = visible.shape[1] |
| rrange = torch.arange(TT, device=visible.device, dtype=visible.dtype)[ |
| None, :, None, None |
| ] |
| rand_nn = torch.rand_like(visible[:, :1]) |
| rand_rr = torch.rand_like(visible[:, :1]) * (TT - 1) |
| visible = visible * ( |
| (rand_nn > tail_dropout).type_as(visible) |
| + (rrange < rand_rr).type_as(visible) |
| ).clamp(0, 1) |
|
|
| xx = torch.linspace(-W / min(H, W), W / min(H, W), W) |
| yy = torch.linspace(-H / min(H, W), H / min(H, W), H) |
|
|
| grid = torch.stack(torch.meshgrid(yy, xx, indexing="ij")[::-1], dim=-1).to( |
| tracks.device |
| ) |
|
|
| tracks_pad = tracks[:, 1:] |
| visible_pad = visible[:, 1:] |
|
|
| visible_align = visible_pad.view(T - 1, 4, *visible_pad.shape[2:]).sum(1) |
| tracks_align = (tracks_pad * visible_pad).view(T - 1, 4, *tracks_pad.shape[2:]).sum( |
| 1 |
| ) / (visible_align + 1e-5) |
| dist_ = ( |
| (tracks_align[:, None, None] - grid[None, :, :, None]).pow(2).sum(-1) |
| ) |
| weight = torch.exp(-dist_ * temperature) * visible_align.clamp(0, 1).view( |
| T - 1, 1, 1, N |
| ) |
| vert_weight, vert_index = torch.topk( |
| weight, k=min(topk, weight.shape[-1]), dim=-1 |
| ) |
|
|
| grid_mode = "bilinear" |
| point_feature = torch.nn.functional.grid_sample( |
| vid[vae_divide[0]:].permute(1, 0, 2, 3)[:1], |
| tracks_n[:, :1].type(vid.dtype), |
| mode=grid_mode, |
| padding_mode="zeros", |
| align_corners=None, |
| ) |
| point_feature = point_feature.squeeze(0).squeeze(1).permute(1, 0) |
|
|
| out_feature = merge_final(point_feature, vert_weight, vert_index).permute(3, 0, 1, 2) |
| out_weight = vert_weight.sum(-1) |
|
|
| |
| mix_feature = out_feature + vid[vae_divide[0]:, 1:] * (1 - out_weight.clamp(0, 1)) |
|
|
| out_feature_full = torch.cat([vid[vae_divide[0]:, :1], mix_feature], dim=1) |
| out_mask_full = torch.cat([torch.ones_like(out_weight[:1]), out_weight], dim=0) |
| return torch.cat([out_mask_full[None].expand(vae_divide[0], -1, -1, -1), out_feature_full], dim=0) |
|
|