robust method to compute locally injective mappings into fixed target domains

What is it about?

Computing locally injective mapping from a source mesh to a fixed target domain is an important but unsolved problem in computer graphics. By lifting the target mesh to a higher dimensional space and measure its area/volume there, we have proposed a novel energy, whose minimizating leads to injective mappings. The method has theoretical guarantee and shows 100% success on a benchmark dataset consisting of thousands of meshes.

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