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• W3167459059 abstract "Representing surfaces as zero level sets of neural networks recently emerged as a powerful modeling paradigm, named Implicit Neural Representations (INRs), serving numerous downstream applications in geometric deep learning and 3D vision. Training INRs previously required choosing between occupancy and distance function representation and different losses with unknown limit behavior and/or bias. In this paper we draw inspiration from the theory of phase transitions of fluids and suggest a loss for training INRs that learns a density function that converges to a proper occupancy function, while its log transform converges to a distance function. Furthermore, we analyze the limit minimizer of this loss showing it satisfies the reconstruction constraints and has minimal surface perimeter, a desirable inductive bias for surface reconstruction. Training INRs with this new loss leads to state-of-the-art reconstructions on a standard benchmark." @default.
• W3167459059 created "2021-06-22" @default.
• W3167459059 creator A5039995559 @default.
• W3167459059 date "2021-06-14" @default.
• W3167459059 modified "2023-09-27" @default.
• W3167459059 title "Phase Transitions, Distance Functions, and Implicit Neural Representations" @default.
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• W3167459059 hasPublicationYear "2021" @default.
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