Source code for pytorch3d.loss.mesh_edge_loss

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# This source code is licensed under the BSD-style license found in the
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import torch


[docs]def mesh_edge_loss(meshes, target_length: float = 0.0): """ Computes mesh edge length regularization loss averaged across all meshes in a batch. Each mesh contributes equally to the final loss, regardless of the number of edges per mesh in the batch by weighting each mesh with the inverse number of edges. For example, if mesh 3 (out of N) has only E=4 edges, then the loss for each edge in mesh 3 should be multiplied by 1/E to contribute to the final loss. Args: meshes: Meshes object with a batch of meshes. target_length: Resting value for the edge length. Returns: loss: Average loss across the batch. Returns 0 if meshes contains no meshes or all empty meshes. """ if meshes.isempty(): return torch.tensor( [0.0], dtype=torch.float32, device=meshes.device, requires_grad=True ) N = len(meshes) edges_packed = meshes.edges_packed() # (sum(E_n), 3) verts_packed = meshes.verts_packed() # (sum(V_n), 3) edge_to_mesh_idx = meshes.edges_packed_to_mesh_idx() # (sum(E_n), ) num_edges_per_mesh = meshes.num_edges_per_mesh() # N # Determine the weight for each edge based on the number of edges in the # mesh it corresponds to. # TODO (nikhilar) Find a faster way of computing the weights for each edge # as this is currently a bottleneck for meshes with a large number of faces. weights = num_edges_per_mesh.gather(0, edge_to_mesh_idx) weights = 1.0 / weights.float() verts_edges = verts_packed[edges_packed] v0, v1 = verts_edges.unbind(1) loss = ((v0 - v1).norm(dim=1, p=2) - target_length) ** 2.0 loss = loss * weights return loss.sum() / N