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Research questionHow can explicit surface representations handle varied topologies while preserving global smoothness and differentiable geometric queries?Surface representations often trade off explicit downstream access, smoothness across local patches, topology flexibility, and compatibility with differentiable optimization. Implicit fields may require iso-surfacing, while explicit local representations can depend on parametrizations or develop seams.
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Latest papersRecent research connected to this question, newest first.Blended Chart Surfaces: A Seamless Explicit Representation for Smooth Surface FittingThe source presents a compact, network-free representation anchored to a user-provided coarse proxy mesh. It fits an implicit target shape by optimizing polynomial maps at proxy vertices and blending neighboring maps smoothly; reported evaluations cover varied topologies and geometric complexity and compare against interpolating-function and mesh-displacement MLP baselines.research paper · Sep 2, 2026
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