A Semi‐Lagrangian Closest Point Method for Deforming Surfaces. (25th November 2013)

• Record Type: Journal Article
• Authors: Auer, S.; Westermann, R.
• Is Part Of: Computer graphics forum. Volume 32:Number 7(2013)
• Page Start: 207
• Page End: 214
• Publication Date: 2013-11-25
• Subjects: Simulation and Modeling [I.6.8]: Types of Simulation—– -- Parallel Computer Graphics [I.3.7]: Three‐Dimensional Graphics and Realism—–Raytracing; Computer graphics -- Periodicals; 006.605
• DOI: 10.1111/cgf.12228
• Languages: English
• ISSNs: 0167-7055

Abstract

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.