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

Triangle meshes remain the most popular data representation for surface geometry. This
ubiquitous representation is essentially a hybrid one that decouples continuous vertex …

We present a new method to compute continuous and bijective maps (surface
homeomorphisms) between two or more genus‐0 triangle meshes. In contrast to previous …

We propose a simple yet effective method to perform surface remeshing with hard
constraints, such as bounding approximation errors and ensuring Delaunay conditions. The …

We introduce an algorithm to convert a self-intersection free, orientable, and manifold
triangle mesh T into a generalized prismatic shell equipped with a bijective projection …

Modeling and Fabrication with Specified Discrete Equivalence Classes - Supplement Page 1
Modeling and Fabrication with Specified Discrete Equivalence Classes Supplement …

We present a novel method to construct compatible surface meshes with bounded
approximation errors. Given two oriented and topologically equivalent surfaces and a sparse …

With the development of 3D digital geometry technology, 3D triangular meshes are
becoming more useful and valuable in industrial manufacturing and digital entertainment. A …

We present a robust method to generate high-quality high-order tetrahedral meshes with
bounded approximation errors and low mesh complexity. The success of our method relies …

We propose a new structure called a higher-order shell, which is composed of a set of
triangular prisms. Each triangular prism is enveloped by three Bézier triangles (top, middle …