Multiresolution Analysis of Arbitrary Meshes

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Multiresolution Analysis of Arbitrary Meshes (1995)

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by Matthias Eck , Tony DeRose , Tom Duchamp , Hugues Hoppe , Michael Lounsbery , Werner Stuetzle

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596 - 16 self

BibTeX

@INPROCEEDINGS{Eck95multiresolutionanalysis,
    author = {Matthias Eck and Tony DeRose and Tom Duchamp and Hugues Hoppe and Michael Lounsbery and Werner Stuetzle},
    title = {Multiresolution Analysis of Arbitrary Meshes},
    booktitle = {},
    year = {1995},
    pages = {173--182},
    publisher = {}
}

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Abstract

In computer graphics and geometric modeling, shapes are often represented by triangular meshes. With the advent of laser scanning systems, meshes of extreme complexity are rapidly becoming commonplace. Such meshes are notoriously expensive to store, transmit, render, and are awkward to edit. Multiresolution analysis offers a simple, unified, and theoretically sound approach to dealing with these problems. Lounsbery et al. have recently developed a technique for creating multiresolution representations for a restricted class of meshes with subdivision connectivity. Unfortunately, meshes encountered in practice typically do not meet this requirement. In this paper we present a method for overcoming the subdivision connectivity restriction, meaning that completely arbitrary meshes can now be converted to multiresolution form. The method is based on the approximation of an arbitrary initial mesh M by a mesh M that has subdivision connectivity and is guaranteed to be within a specified tolerance. The key

Keyphrases

arbitrary mesh multiresolution analysis subdivision connectivity multiresolution representation arbitrary initial mesh geometric modeling subdivision connectivity restriction sound approach specified tolerance triangular mesh computer graphic extreme complexity restricted class

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