We introduce a new general-purpose approach to deep learning on three-dimensional
surfaces based on the insight that a simple diffusion layer is highly effective for spatial …

This paper presents a complete computer-aided workflow for the parametric topology
optimization (TO) design, numerical analysis and additive manufacturing (AM) of steel joints …

Computational manufacturing technologies such as 3D printing hold the potential for
creating objects with previously undreamed‐of combinations of functionality and physical …

We introduce the heat method for solving the single-or multiple-source shortest path
problem on both flat and curved domains. A key insight is that distance computation can be …

Numerical computation of shortest paths or geodesics on curved domains, as well as the
associated geodesic distance, arises in a broad range of applications across digital …

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 …

In Generalized Barycentric Coordinates in Computer Graphics and Computational
Mechanics, eminent computer graphics and computational mechanics researchers provide …

This article describes a method for efficiently computing parallel transport of tangent vectors
on curved surfaces, or more generally, any vector-valued data on a curved manifold. More …

Geometry processing of surface meshes relies heavily on the discretization of differential
operators such as gradient, Laplacian, and covariant derivative. While a variety of discrete …

While scalar fields on surfaces have been staples of geometry processing, the use of
tangent vector fields has steadily grown in geometry processing over the last two decades …