Kavli Affiliate: Yi Zhou
| First 5 Authors: Sanghyun Son, Matheus Gadelha, Yang Zhou, Zexiang Xu, Ming C. Lin
| Summary:
We present a differentiable representation, DMesh, for general 3D triangular
meshes. DMesh considers both the geometry and connectivity information of a
mesh. In our design, we first get a set of convex tetrahedra that compactly
tessellates the domain based on Weighted Delaunay Triangulation (WDT), and
formulate probability of faces to exist on our desired mesh in a differentiable
manner based on the WDT. This enables DMesh to represent meshes of various
topology in a differentiable way, and allows us to reconstruct the mesh under
various observations, such as point cloud and multi-view images using
gradient-based optimization. The source code and full paper is available at:
https://sonsang.github.io/dmesh-project.
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