| import einops
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| import torch
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| import torch.nn.functional as F
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|
|
|
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| @torch.amp.autocast("cuda", enabled=False)
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| def batch_sample_rays(intrinsic, extrinsic, image_h=None, image_w=None):
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| ''' get rays
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| Args:
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| intrinsic: [BF, 3, 3],
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| extrinsic: [BF, 4, 4],
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| h, w: int
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| # normalize: let the first camera R=I
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| Returns:
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| rays_o, rays_d: [BF, N, 3]
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| '''
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|
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| device = intrinsic.device
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| B = intrinsic.shape[0]
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|
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| c2w = torch.inverse(extrinsic)[:, :3, :4].to(device)
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| x = torch.arange(image_w, device=device).float() - 0.5
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| y = torch.arange(image_h, device=device).float() + 0.5
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| points = torch.stack(torch.meshgrid(x, y, indexing='ij'), -1)
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| points = einops.repeat(points, 'w h c -> b (h w) c', b=B)
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| points = torch.cat([points, torch.ones_like(points)[:, :, 0:1]], dim=-1)
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| directions = points @ intrinsic.inverse().to(device).transpose(-1, -2) * 1
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|
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| rays_d = F.normalize(directions @ c2w[:, :3, :3].transpose(-1, -2), dim=-1)
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| rays_o = c2w[..., :3, 3]
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|
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| rays_o = rays_o[:, None, :].expand_as(rays_d)
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|
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| return rays_o, rays_d
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|
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| @torch.amp.autocast("cuda", enabled=False)
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| def embed_rays(rays_o, rays_d, nframe):
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| if len(rays_o.shape) == 4:
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| rays_o = einops.rearrange(rays_o, "b f n c -> (b f) n c")
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| rays_d = einops.rearrange(rays_d, "b f n c -> (b f) n c")
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| cross_od = torch.cross(rays_o, rays_d, dim=-1)
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| cam_emb = torch.cat([rays_d, cross_od], dim=-1)
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| cam_emb = einops.rearrange(cam_emb, "(b f) n c -> b f n c", f=nframe)
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| return cam_emb
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|
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|
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| @torch.amp.autocast("cuda", enabled=False)
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| def camera_center_normalization(w2c, nframe, camera_scale=2.0):
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|
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| c2w_view0 = w2c[::nframe].inverse()
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| c2w_view0 = c2w_view0.repeat_interleave(nframe, dim=0)
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| w2c = c2w_view0 @ w2c
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|
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| c2w = torch.linalg.inv(w2c)
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| camera_dist_2med = torch.norm(c2w[:, :3, 3] - c2w[:, :3, 3].median(0, keepdim=True).values, dim=-1)
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| valid_mask = camera_dist_2med <= torch.clamp(torch.quantile(camera_dist_2med, 0.97) * 10, max=1e6)
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| c2w[:, :3, 3] -= c2w[valid_mask, :3, 3].mean(0, keepdim=True)
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| w2c = torch.linalg.inv(c2w)
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|
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| camera_dists = c2w[:, :3, 3].clone()
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| translation_scaling_factor = (
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| camera_scale
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| if torch.isclose(
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| torch.norm(camera_dists[0]),
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| torch.zeros(1, dtype=camera_dists.dtype, device=camera_dists.device),
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| atol=1e-5,
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| ).any()
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| else (camera_scale / torch.norm(camera_dists[0]))
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| )
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| w2c[:, :3, 3] *= translation_scaling_factor
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| c2w[:, :3, 3] *= translation_scaling_factor
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|
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| return w2c
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|
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|
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| def get_camera_embedding(intrinsic, extrinsic, f, h, w, normalize=True):
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| if normalize:
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| extrinsic = camera_center_normalization(extrinsic, nframe=f)
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|
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| rays_o, rays_d = batch_sample_rays(intrinsic, extrinsic, image_h=h, image_w=w)
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| camera_embedding = embed_rays(rays_o, rays_d, nframe=f)
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| camera_embedding = einops.rearrange(camera_embedding, "b f (h w) c -> b c f h w", h=h, w=w)
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|
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| return camera_embedding
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|