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Summary: Computational Topology: Ambient Isotopic
Approximation of 2-Manifolds
Nina Amenta
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, Thomas J. Peters
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, Alexander Russell
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Department of Computer Science, University of Texas at Austin
Department of Computer Science & Engineering, and Department of Mathematics,
University of Connecticut, Storrs, CT
Department of Computer Science & Engineering, University of Connecticut, Storrs, CT
Abstract
A fundamental issue in theoretical computer science is that of establishing unambiguous
formal criteria for algorithmic output. This paper does so within the domain of computer-
aided geometric modeling. For practical geometric modeling algorithms, it is often de-
sirable to create piecewise linear approximations to compact manifolds embedded in ,
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