Geometry processing, or mesh processing, is a fast-growing area of research that uses
concepts from applied mathematics, computer science, and engineering to design efficient …

Triangle meshes have been nearly ubiquitous in computer graphics, and a large body of
data structures and geometry processing algorithms based on them has been developed in …

We present a novel method for quadrangulating a given triangle mesh. After constructing an
as smooth as possible symmetric cross field satisfying a sparse set of directional constraints …

We present a computational method for interactive 3D design and rationalization of surfaces
via auxetic materials, ie, flat flexible material that can stretch uniformly up to a certain extent …

We present a novel approach to parameterize a mesh with disk topology to the plane in a
shape‐preserving manner. Our key contribution is a local/global algorithm, which combines …

A geometric map** establishes a correspondence between two domains. Since no real
object has zero or negative volume, such a map** is required to be inversion-free …

Mesh parameterization is a powerful geometry processing tool with numerous computer
graphics applications, from texture map** to animation transfer. This course outlines its …

Abstract Two-dimensional (2D) growth-induced 3D sha** enables shape-morphing
materials for diverse applications. However, quantitative design of 2D growth for arbitrary 3D …

A conformal flattening maps a curved surface to the plane without distorting angles—such
maps have become a fundamental building block for problems in geometry processing …

Orthogonality constrained problems are widely used in science and engineering. However,
it is challenging to solve these problems efficiently due to the non-convex constraints. In this …