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

Polyhedral meshes are increasingly becoming an attractive option with particular
advantages over traditional meshes for certain applications. What has been missing is a …

Topology optimization can maximally leverage the high DOFs and mechanical potentiality of
porous foams but faces challenges in adapting to free-form outer shapes, maintaining full …

Errors in biomechanics simulations arise from modelling and discretization. Modelling errors
are due to the choice of the mathematical model whilst discretization errors measure the …

Meshes with curvilinear elements hold the appealing promise of enhanced geometric
flexibility and higher-order numerical accuracy compared to their commonly-used straight …

Topology optimization is able to maximally leverage the high DOFs and mechanical
potentiality of porous foams but faces three fundamental challenges: conforming to free-form …

We present a full geometric parameterization of generalized barycentric coordinates on
convex polytopes. We show that these continuous and non-negative coefficients ensuring …

This paper introduces a new learning-based method, NASM, for anisotropic surface
meshing. Our key idea is to propose a graph neural network to embed an input mesh into a …

The computation of power diagrams (or weighted Voronoi diagrams) is a fundamental task
in computational geometry and computer graphics. To accomplish the computation, we …

We propose a novel method to generate high-quality triangular meshes with specified
anisotropy. Central to our algorithm is to present metric-adapted embeddings for converting …