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 …

Notions of similarity and correspondence between geometric shapes and images are central
to many tasks in geometry processing, computer vision, and computer graphics. The goal of …

In this paper, we introduce complex functional maps, which extend the functional map
framework to conformal maps between tangent vector fields on surfaces. A key property of …

Disentangling complex data to its latent factors of variation is a fundamental task in
representation learning. Existing work on sequential disentanglement mostly provides two …

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 …

We present a framework for designing curl-free tangent vector fields on discrete surfaces.
Such vector fields are gradients of locally-defined scalar functions, and this property is …

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

In this paper, we consider the problem of information transfer across shapes and propose an
extension to the widely used functional map representation. Our main observation is that in …

The solution of a PDE over varying initial/boundary conditions on multiple domains is
needed in a wide variety of applications, but it is computationally expensive if the solution is …