The design of biomimetic porous scaffolds has been gaining attention in the biomedical
sector lately. Shells, marine sponges, shark teeth, cancellous bone, sea urchin spine, and …

We introduce a compact, intuitive procedural graph representation for cellular
metamaterials, which are small-scale, tileable structures that can be architected to exhibit …

Triply periodic minimal surface (TPMS)-based shell lattices are increasingly recognized for
their exceptional geometric and mechanical attributes. Their open-cell configuration further …

This study presents the formulation and validation of a three-dimensional Flow Lattice Model
(FLM) with application to the Hygro-Thermo-Chemical (HTC) model for analysis of moisture …

Recent techniques have been successful in reconstructing surfaces as level sets of learned
functions (such as signed distance fields) parameterized by deep neural networks. Many of …

Geometry is a ubiquitous tool in computer graphics, design, and engineering. However, the
lack of large shape datasets limits the application of state-of-the-art supervised learning …

𝑌− 1 1 (𝑥, 𝑦, 𝑧)≥ 0.488603 𝑌0 1 (𝑥, 𝑦, 𝑧)≥ 0.690988 𝑌1 1 (𝑥, 𝑦, 𝑧)≥ 0.488603 𝑌− 2 2
(𝑥, 𝑦, 𝑧)≥ 0.546274 𝑌− 1 2 (𝑥, 𝑦, 𝑧)≥ 0.546274 𝑌0 2 (𝑥, 𝑦, 𝑧)≥ 0.446031 𝑌1 2 (𝑥, 𝑦 …

Basic Problem. Any collection of unbroken (ie, closed), oriented loops can be decomposed
into subsets that do and do not bound regions of a surface"(Figure 1). Informally, we wish to …

We present the Moving Eulerian-Lagrangian Particles (MELP), a novel mesh-free method for
simulating incompressible fluid on thin films and foams. Employing a bi-layer particle …

Directional fields, including unit vector, line, and cross fields, are essential tools in the
geometry processing toolkit. The topology of directional fields is characterized by their …