Eurographics 2023 Surface Maps via Adaptive Triangulations

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Surface Maps via Adaptive Triangulations • Patrick Schmidt, Dörte Pieper, Leif Kobbelt • Eurographics 2023 • Paper: https://www.graphics.rwth-aachen.de/p... • Code: https://github.com/patr-schm/surface-... • Fast-Forward: • [Eurographics 2023] Teaser: Surface M... • We compute bijective maps between genus-0 surfaces at adaptive resolutions, independently of the input mesh complexity. The new idea is to represent maps via a common triangulation that only approximates the input surfaces but stays in bijective correspondence to them (via spherical parametrizations). Treating both the connectivity and the geometric embeddings of this triangulation as degrees of freedom allows us to quickly optimize maps in a coarse-to-fine manner. In contrast to previous methods, we manage to avoid the costly computation of overlay meshes and also support mapping between more than two surfaces at once.

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