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Darstellung von Bézier-Kurven als B-Spline-Kurven

Representation of Bézier curves as B-spline curves

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Zusammenfassung

In dieser Arbeit bestimmen wir die B-Spline-Koeffizienten und Knoten einer B-Spline-Kurve, die die gleiche Gestalt wie eine vorgegebene segmentierte Bézier-Kurve besitzt. Die Stetigkeitsordnung in verschiedenen Bézier-Segment-Übergängen kann dabei unterschiedlich sein.

Abstract

In this paper we determine the coefficients and knots of a B-spline curve, which has the same shape as a given segmented Bézier curve. The order of continuity in different joins of Bézier segments may be different.

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Authors and Affiliations

  1. Fachbereich Mathematik, Technische Hochschule, Schloßgartenstrasse 7, D-6100, Darmstadt, Bundesrepublik Deutschland

    L. Hering

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  1. L. Hering
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Hering, L. Darstellung von Bézier-Kurven als B-Spline-Kurven. Computing 31, 149–153 (1983). https://doi.org/10.1007/BF02259910

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  • DOI: https://doi.org/10.1007/BF02259910

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