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 propose an archetypal system to investigate transitions from smooth to discontinuous
dynamics. In the smooth regime, the system bears significant similarities to the Duffing …

This work introduces a unified framework for discrete surface Ricci flow algorithms, including
spherical, Euclidean, and hyperbolic Ricci flows, which can design Riemannian metrics on …

G-splines are a generalization of B-splines that deals with extraordinary points by imposing
G 1 constraints across their spoke edges, thus obtaining a continuous tangent plane …

Abstract Analysis-suitable T-splines (AST-splines) are a promising candidate to achieve a
seamless integration between the design and the analysis of thin-walled structures in …

This paper proposes a new concept of polycube splines and develops novel modeling
techniques for using the polycube splines in solid modeling and shape computing. Polycube …

In linear least squares fitting of B-spline surfaces, the choice of knot vector is essentially
important to the quality of the approximating surface. In this paper, a heuristic criterion for …

We analyze the space of geometrically continuous piecewise polynomial functions, or
splines, for rectangular and triangular patches with arbitrary topology and general rational …

Given a topological complex M with glueing data along edges shared by adjacent faces, we
study the associated space of geometrically smooth spline functions that satisfy …

In this paper we present a methodology to create higher order parametric trivariate
representations such as B-splines or T-splines, from closed triangle meshes with higher …