DMesh: A Differentiable Mesh Representation
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),...
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Zusammenfassung: | 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
select triangular faces on the tetrahedra to define the final mesh. We
formulate probability of faces to exist on the actual surface 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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DOI: | 10.48550/arxiv.2404.13445 |