Multiphase interface tracking with fast semi-Lagrangian contouring

Xiaosheng Li
,
Xiaowei He
,
Xuehui Liu
,
Jian J. Zhang
,
Baoquan Liu
,
Enhua Wu

CAS - Institute of Software
,
Chinese Academy of Sciences
,
Bournemouth University

Research Output: Contribution to journal Article Peer-review

Abstract

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.

Publication Information

Output type

Research Output: Contribution to journal Article Peer-review

Original language

English

Pages from-to (Number of pages)

Pages 1973-1986

Journal (Volume, Issue Number)

IEEE Transactions on Visualization and Computer Graphics (Volume 22, Issue 8)

Publication milestones

Published - 03/09/2015

Publication status

Published - 03/09/2015

ISSN

1077-2626

External Publication IDs

handle.net: 10547/624535
Scopus: 84977150477

Access to documents

10.1109/TVCG.2015.2476788

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