Multiphase interface tracking with fast semi-Lagrangian contouring
Affiliation
University of Chinese Academy of SciencesBournemouth University
University of Bedfordshire
Issue Date
2015-09-03
Metadata
Show full item recordAbstract
We propose a semi-Lagrangian method for multiphase interface tracking. In contrast to previous methods, our method maintains an explicit polygonal mesh, which is reconstructed from an unsigned distance function and an indicator function, to track the interface of arbitrary number of phases. The surface mesh is reconstructed at each step using an efficient multiphase polygonization procedure with precomputed stencils while the distance and indicator function are updated with an accurate semi-Lagrangian path tracing from the meshes of the last step. Furthermore, we provide an adaptive data structure, multiphase distance tree, to accelerate the updating of both the distance function and the indicator function. In addition, the adaptive structure also enables us to contour the distance tree accurately with simple bisection techniques. The major advantage of our method is that it can easily handle topological changes without ambiguities and preserve both the sharp features and the volume well. We will evaluate its efficiency, accuracy and robustness in the results part with several examples.Citation
Li X, He X, Liu X, Zhang JJ, Liu B, Wu E (2016) 'Multiphase interface tracking with fast semi-Lagrangian contouring', IEEE Transactions on Visualization and Computer Graphics, 22 (8), pp.1973-1986.Publisher
IEEE Computer SocietyAdditional Links
https://ieeexplore.ieee.org/document/7239614Type
ArticleLanguage
enISSN
1077-2626ae974a485f413a2113503eed53cd6c53
10.1109/TVCG.2015.2476788