Piecewise approximate implicitization:: experiments using industrial data

被引：5

作者：

Shalaby, Mohamed F. ^{[1
]}

Thomassen, Jan B. ^{[2
,3
]}

Wurm, Elmar M. ^{[1
]}

Dokken, Tor ^{[2
]}

Juettler, Bert ^{[1
]}

机构：

[1] Johannes Kepler Univ Linz, Inst Appl Geometry, Altenberger Str 69, A-4040 Linz, Austria

[2] SINTEF, ICT, N-0314 Oslo, Norway

[3] Ctr Math Applicat, N-0316 Oslo, Norway

来源：

ALGEBRAIC GEOMETRY AND GEOMETRIC MODELING | 2006年

关键词：

D O I：

10.1007/978-3-540-33275-6_3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compare several methods for approximate implicitization by piece-wise polynomials which have been developed by the authors, and a linear-algebra-based numerical method for implicitization which is provided as a part of MAPLE. We investigate both quantitative criteria (such as computing time, memory use, and the error of the approximation) and qualitative criteria. As demonstrated by the results, piecewise approximate implicitization is able to handle surfaces arising in industrial applications. However, special care has to be taken to avoid additional branches and unwanted singularities.

引用

页码：37 / +

页数：3

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