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Link Conditions for Simplifying Meshes with Embedded Structures

Thomas, Dilip Mathew and Natarajan, Vijay and Bonneau, Georges-Pierre (2011) Link Conditions for Simplifying Meshes with Embedded Structures. In: IEEE Transactions on Visualization and Computer Graphics, 17 (7). pp. 1007-1019.

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Abstract

Interactive visualization applications benefit from simplification techniques that generate good-quality coarse meshes from high-resolution meshes that represent the domain. These meshes often contain interesting substructures, called embedded structures, and it is desirable to preserve the topology of the embedded structures during simplification, in addition to preserving the topology of the domain. This paper describes a proof that link conditions, proposed earlier, are sufficient to ensure that edge contractions preserve the topology of the embedded structures and the domain. Excluding two specific configurations, the link conditions are also shown to be necessary for topology preservation. Repeated application of edge contraction on an extended complex produces a coarser representation of the domain and the embedded structures. An extension of the quadric error metric is used to schedule edge contractions, resulting in a good-quality coarse mesh that closely approximates the input domain and the embedded structures.

Item Type: Journal Article
Additional Information: Copyright 2011 IEEE. Personal use of this material is permitted.However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Keywords: Embedded structures;extended complex;link conditions;mesh simplification;topology preservation;quadric error metric.
Department/Centre: Division of Electrical Sciences > Computer Science & Automation (Formerly, School of Automation)
Division of Information Sciences > Supercomputer Education & Research Centre
Date Deposited: 01 Jun 2011 12:19
Last Modified: 01 Jun 2011 12:19
URI: http://eprints.iisc.ernet.in/id/eprint/37809

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