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import torch | |
def batch_rotprojs(batches_rotmats): | |
proj_rotmats = [] | |
for batch_idx, batch_rotmats in enumerate(batches_rotmats): | |
proj_batch_rotmats = [] | |
for rot_idx, rotmat in enumerate(batch_rotmats): | |
# GPU implementation of svd is VERY slow | |
# ~ 2 10^-3 per hit vs 5 10^-5 on cpu | |
U, S, V = rotmat.cpu().svd() | |
rotmat = torch.matmul(U, V.transpose(0, 1)) | |
orth_det = rotmat.det() | |
# Remove reflection | |
if orth_det < 0: | |
rotmat[:, 2] = -1 * rotmat[:, 2] | |
rotmat = rotmat.cuda() | |
proj_batch_rotmats.append(rotmat) | |
proj_rotmats.append(torch.stack(proj_batch_rotmats)) | |
return torch.stack(proj_rotmats) | |