Multimaterial Front Tracking
Abstract
We present the first triangle mesh-based technique for tracking the evolution of general three-dimensional multimaterial interfaces undergoing complex topology changes induced by deformations and collisions. Our core representation is a non-manifold triangle surface mesh with material labels assigned to each half-face to distinguish volumetric regions. We advect the vertices of the mesh in a Lagrangian manner, and employ a complete set of collision-safe mesh improvement and topological operations that track and update material labels. In particular, we develop a unified, collision-safe strategy for handling complex topological operations acting on evolving triple- and higher-valence junctions, and a flexible method to merge colliding multimaterial meshes. We demonstrate our approach with a number of challenging geometric flows, including passive advection, normal flow, and mean curvature flow.
Cite
@article{arxiv.1306.3113,
title = {Multimaterial Front Tracking},
author = {Fang Da and Christopher Batty and Eitan Grinspun},
journal= {arXiv preprint arXiv:1306.3113},
year = {2014}
}
Comments
The paper has been drastically revised and submitted to a journal that requires author anonymity; while this cannot be achieved under arXiv.org policy, we have nevertheless decided to withdraw the paper to reflect our attempt to satisfy anonymity