BijectiveRemesh
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BijectiveRemesh: Maintaining Bijective Mappings for Data Transfer Across Remeshed Manifolds
Announce Type: new Abstract: We introduce BijectiveRemesh, a robust algorithm for maintaining a continuous, bijective mapping across complex remeshing sequences on both 2D triangle surfaces and 3D tetrahedral meshes. Unlike traditional data transfer methods that rely on interpolation or projection, our approach constructs a mathematically rigorous composite map from the input mesh to the output mesh by chaining local bijective atlases defined for each primitive remeshing operation. Our...