Discrete conformal equivalence of polyhedral surfaces

M Gillespie, B Springborn, K Crane - ACM Transactions on Graphics …, 2021 - dl.acm.org
This paper describes a numerical method for surface parameterization, yielding maps that
are locally injective and discretely conformal in an exact sense. Unlike previous methods for …

Decorated discrete conformal equivalence in non-Euclidean geometries

AI Bobenko, COR Lutz - ar**, a classical topic in complex analysis and differential geometry, has
become a subject of great interest in the area of surface parameterization in recent decades …

Conformal generative modeling on triangulated surfaces

V Dorobantu, C Borcherds, Y Yue - arxiv preprint arxiv:2303.10251, 2023 - arxiv.org
We propose conformal generative modeling, a framework for generative modeling on 2D
surfaces approximated by discrete triangle meshes. Our approach leverages advances in …