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Signed Distance Function Computation from an Implicit Surface

Graphics 2021-06-07 v2 Computer Vision and Pattern Recognition Numerical Analysis Numerical Analysis

Abstract

We describe in this short note a technique to convert an implicit surface into a Signed Distance Function (SDF) while exactly preserving the zero level-set of the implicit. The proposed approach relies on embedding the input implicit in the final layer of a neural network, which is trained to minimize a loss function characterizing the SDF.

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Cite

@article{arxiv.2104.08057,
  title  = {Signed Distance Function Computation from an Implicit Surface},
  author = {Pierre-Alain Fayolle},
  journal= {arXiv preprint arXiv:2104.08057},
  year   = {2021}
}

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