Direction fields and vector fields play an increasingly important role in computer graphics
and geometry processing. The synthesis of directional fields on surfaces, or other spatial …

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 …

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 …

We propose a method for computing global Chebyshev nets on triangular meshes. We
formulate the corresponding global parameterization problem in terms of commuting …

This paper introduces an anisotropic Laplace-Beltrami operator for shape analysis. While
keeping useful properties of the standard Laplace-Beltrami operator, it introduces variability …

This paper presents a new preconditioning technique for large‐scale geometric optimization
problems, inspired by applications in mesh parameterization. Our positive (semi‐) definite …

This paper presents a method that employs parametric surfaces as surface geometry
representations at any stage of a computational process to compute self-supporting …

In geometry processing, smoothness energies are commonly used to model scattered data
interpolation, dense data denoising, and regularization during shape optimization. The …

Flow fields are usually visualized relative to a global observer, ie, a single frame of
reference. However, often no global frame can depict all flow features equally well. Likewise …