A semi-Lagrangian closest point method for deforming surfaces

S. Auer, R. Westermann

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

We present an Eulerian method for the real-time simulation of intrinsic fluid dynamics effects on deforming surfaces. Our method is based on a novel semi-Lagrangian closest point method for the solution of partial differential equations on animated triangle meshes. We describe this method and demonstrate its use to compute and visualize flow and wave propagation along such meshes at high resolution and speed. Underlying our technique is the efficient conversion of an animated triangle mesh into a time-dependent implicit representation based on closest surface points. The proposed technique is unconditionally stable with respect to the surface deformation and, in contrast to comparable Lagrangian techniques, its precision does not depend on the level of detail of the surface triangulation.

Original languageEnglish
Pages (from-to)207-214
Number of pages8
JournalComputer Graphics Forum
Volume32
Issue number7
DOIs
StatePublished - Oct 2013

Fingerprint

Dive into the research topics of 'A semi-Lagrangian closest point method for deforming surfaces'. Together they form a unique fingerprint.

Cite this