Fast and Exact Discrete Geodesic Computation Based on Triangle-Oriented Wavefront Propagation.

Qin, Y., Han, X., Yu, H., Yu, Y. and Zhang, J. J., 2016. Fast and Exact Discrete Geodesic Computation Based on Triangle-Oriented Wavefront Propagation. ACM Transactions on Graphics (Proceedings of SIGGRAPH 2016), 35 (4), p. 125.

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DOI: 10.1145/2897824.2925930

Abstract

Computing discrete geodesic distance over triangle meshes is one of the fundamental problems in computational geometry and computer graphics. In this problem, an effective window pruning strategy can significantly affect the actual running time. Due to its importance, we conduct an in-depth study of window pruning operations in this paper, and produce an exhaustive list of scenarios where one window can make another window partially or completely redundant. To identify a maximal number of redundant windows using such pairwise cross checking, we propose a set of procedures to synchronize local window propagation within the same triangle by simultaneously propagating a collection of windows from one triangle edge to its two opposite edges. On the basis of such synchronized window propagation, we design a new geodesic computation algorithm based on a triangle-oriented region growing scheme. Our geodesic algorithm can remove most of the redundant windows at the earliest possible stage, thus significantly reducing computational cost and memory usage at later stages. In addition, by adopting triangles instead of windows as the primitive in propagation management, our algorithm significantly cuts down the data management overhead. As a result, it runs 4-15 times faster than MMP and ICH algorithms, 2-4 times faster than FWP-MMP and FWP-CH algorithms, and also incurs the least memory usage.

Item Type:Article
Uncontrolled Keywords:Discrete Geodesics, Pairwise Window Pruning, Order Preservation, Window List Propagation, Wavefront Propagation
Subjects:UNSPECIFIED
Group:Faculty of Media & Communication
ID Code:24697
Deposited By: Unnamed user with email symplectic@symplectic
Deposited On:05 Sep 2016 14:23
Last Modified:05 Sep 2016 14:23

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