Corner-Sharing Tetrahedra for Modeling Micro-Structure

06/01/2018
by   Meera Sitharam, et al.
0

State-of-the-art representations of volumetric multi-scale shape and structure can be classified into three broad categories: continuous, continuous-from-discrete, and discrete representations. We propose modeling micro-structure with a class of discrete Corner-Sharing Tetrahedra (CoSTs). CoSTs can represent bar-joint, tensegrity, line-incidence, and similar constraint systems that capture local physical constraints and global multi-scale properties for design and analysis. The paper develops a palette of simple geometry processing operations on CoSTs including graph manipulation, hierarchical refinement, randomization, and generating associated continuous representations.

READ FULL TEXT
research
09/22/2017

High-Resolution Shape Completion Using Deep Neural Networks for Global Structure and Local Geometry Inference

We propose a data-driven method for recovering miss-ing parts of 3D shap...
research
06/03/2021

An Information-oriented Model of Multi-Scale (Feedback) Systems

Multi-scale structures are prevalent in both natural and artificial syst...
research
07/13/2018

Learning Graph Representations by Dendrograms

Hierarchical graph clustering is a common technique to reveal the multi-...
research
05/26/2022

Deep-XFCT: Deep learning 3D-mineral liberation analysis with micro X-ray fluorescence and computed tomography

The rapid development of X-ray micro-computed tomography (micro-CT) open...
research
08/05/2013

A Spline-based Volumetric Data Modeling Framework and Its Applications

In this dissertation, we concentrate on the challenging research issue o...
research
04/11/2023

Neural Network Accelerated Process Design of Polycrystalline Microstructures

Computational experiments are exploited in finding a well-designed proce...
research
06/03/2021

Timing Configurations Affect the Macro-Properties of Multi-Scale Feedback Systems

Multi-scale feedback systems, where information cycles through micro- an...

Please sign up or login with your details

Forgot password? Click here to reset