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Approximate Implicitization using Linear Algebra

Abstract

In this talk we consider a range of methods for exact and approximate implicitization of rational parametric curves and surfaces using linear algebra. The framework of numerical linear algebra provides a large family of methods for (approximate) implicitization which vary in terms of stability, approximation quality and speed of implementation. We compare various methods which work by minimizing the algebraic error and discuss the relative merits of each.
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Category

Academic lecture

Language

English

Affiliation

  • SINTEF Digital / Mathematics and Cybernetics

Presented at

SAGA Fall School 2011

Place

Vilnius, Lithuania

Date

27.09.2011 - 30.09.2011

Organizer

SAGA

Year

2011

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