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Intersection problems of parametric surfaces in CAGD

Schnittprobleme parametrisierter Flächen im CAGD

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Abstract

In Computer Aided Geometric Design the task of computing intersections between surfaces must be performed by numerical methods. In the present paper a new kind of marching method is considered which employs interval arithmetic for proofing the correct topology of the solution set.

Zusammenfassung

Im CAGD müssen Schnitte von Flächen numerisch berechnet werden. In der vorliegenden Arbiet wird eine neue Vorwärtsschritt-Methode betrachtet, bei der die Richtigkeit der Topologie der Lösungsmenge mit Hilfe von Intervallarithmetrik bewiesen wird.

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Authors and Affiliations

  1. Institute of Applied Mathematics, University of Karlsruhe, P.O. Box 76128, D-76128, Karlsruhe, Federal Republic of Germany

    P. Schramm

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  1. P. Schramm
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Schramm, P. Intersection problems of parametric surfaces in CAGD. Computing 53, 355–364 (1994). https://doi.org/10.1007/BF02307385

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  • DOI: https://doi.org/10.1007/BF02307385

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