Abstract
We present a Bézier representation of visually continuous quartics and quintics. Explicit formulas are given for the conversion of the Bézier representation to and vice versa a Hermite-like representation, defined by the continuity conditions. Positivity conditions which insure properties like convex hull and variation diminishing properties are given.
Zusammenfassung
Gegeben wird eine Bézier-Darstellung visuell stetiger quartischer und quintischer Kurven. Es werden explizite Ausdrücke für die Konversion der Bézier in und vice versa eine Hermite Darstellung, definiert durch die Stetigkeitsbedingungen, angegeben. Es werden Positivitätsbedingungen, die Eigenschaften wie z.B. die Eigenschaften der konvexen Hülle und der Variationsreduktion sichern, gegeben.
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Lasser, D. Visually continuous quartics and quintics. Computing 45, 119–129 (1990). https://doi.org/10.1007/BF02247878
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DOI: https://doi.org/10.1007/BF02247878