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A round trip to B-splines via de Casteljau

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Publication:3990713
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DOI10.1145/77055.77061zbMath0746.68099OpenAlexW2025430176MaRDI QIDQ3990713

Hartmut Prautzsch

Publication date: 28 June 1992

Published in: ACM Transactions on Graphics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/77055.77061


zbMATH Keywords

recurrence relationBézier curvesBézier pointsknot insertiondifferentiating\(B\)-spline control pointsde Casteljau's constructiondefinition of \(B\)-splines


Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)


Related Items

New algorithms and techniques for computing with geometrically continuous spline curves of arbitrary degree



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