Triangle meshes are used in many important shape-related applications including geometric
modeling, animation production, system simulation, and visualization. However, these …

In this work, we give a geometric interpretation to the Generative Adversarial Networks
(GANs). The geometric view is based on the intrinsic relation between Optimal Mass …

This paper describes a method for fast simplification of surface meshes. Whereas past
methods focus on visual appearance, our goal is to solve equations on the surface. Hence …

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 …

A notion of discrete conformality for hyperbolic polyhedral surfaces is introduced in this
paper. This discrete conformality is shown to be computable. It is proved that each …

A discrete conformality for polyhedral metrics on surfaces is introduced in this paper. It is
shown that each polyhedral metric on a compact surface is discrete conformal to a constant …

Surface based 3D shape analysis plays a fundamental role in computer vision and medical
imaging. This work proposes to use optimal mass transport map for shape matching and …

Computing constrained mappings between domains is a fundamental task, performed
across a wide range of geometric and physical applications ranging from parameterization …

In this paper, we propose a new method to systematically address the issue of structural
shape and topology optimization on free-form surfaces. A free-form surface, also termed …

We describe a method for the generation of seamless surface parametrizations with
guaranteed local injectivity and full control over holonomy. Previous methods guarantee …