We propose a flexible geometric algorithm for placing arbitrary cracks and incisions on
tetrahedralized deformable objects. Although techniques based on remeshing can also …

We develop an accurate, unified treatment of elastica. Following the method of resultant-
based formulation to its logical extreme, we derive a higher-order integration rule, or elaston …

Virtual cutting of deformable bodies has been an important and active research topic in
physically based modelling and simulation for more than a decade. A particular challenge in …

In recent decades, the use of three-dimensional point clouds has been widespread in the
computer industry. The development of techniques for analyzing point clouds is increasingly …

Harmonic volumetric mapping for two solid objects establishes a one-to-one smooth
correspondence between them. It finds its applications in shape registration and analysis …

We present a method for generating surface crack patterns that appear in materials such as
mud, ceramic glaze, and glass. To model these phenomena, we build upon existing …

We present a method for simulating highly detailed cutting and fracturing of thin shells using
low-resolution simulation meshes. Instead of refining or remeshing the underlying simulation …

The fractures of thin plates often exhibit complex physical behaviors in the real world. In
particular, fractures caused by tearing are different from fractures caused by in-plane …

The point cloud is the most fundamental representation of three-dimensional geometric
objects. Analyzing and processing point cloud surfaces is important in computer graphics …

In this paper, we present a novel spectral method for mesh deformation based on manifold
harmonics transform. The eigenfunctions of the Laplace–Beltrami operator give orthogonal …