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Quadric-Based Simplification in Any Dimension

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Title: Quadric-Based Simplification in Any Dimension
Author(s): Garland, Michael; Zhou, YuanYuan
Subject(s): computer graphics
Abstract: We present a new method for simplifying simplicial complexes of any type embedded in Euclidean spaces of any dimension. At the heart of this system is a novel generalization of the quadric error metric used in surface simplification. We demonstrate that our generalized simplification system can produce high quality approximations of plane and space curves, triangulated surfaces, tetrahedralized volume data, and simplicial complexes of mixed type. Our method is both efficient and easy to implement. It is capable of processing complexes of arbitrary topology, including non-manifolds, and can preserve intricate boundaries.
Issue Date: 2004-06
Genre: Technical Report
Type: Text
URI: http://hdl.handle.net/2142/10811
Rights Information: You are granted permission for the non-commercial reproduction, distribution, display, and performance of this technical report in any format, BUT this permission is only for a period of 45 (forty-five) days from the most recent time that you verified that this technical report is still available from the University of Illinois at Urbana-Champaign Computer Science Department under terms that include this permission. All other rights are reserved by the author(s).
Date Available in IDEALS: 2009-04-14
 

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