Blossoming and curvatures of surface patches

doi:10.1016/j.cagd.2007.10.002

Computer Aided Geometric Design

Volume 25, Issue 8, November 2008, Pages 667-677

https://doi.org/10.1016/j.cagd.2007.10.002 Get rights and content

Abstract

The ratio of curvatures of a polynomial curve p of degree n and its blossom curve of degree k at a given point u is a constant depending only on n and k. In this paper analogous properties of polynomial and rational patches (in triangular and tensor Bézier representations) are searched.

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Blossoming and curvatures of surface patches

Abstract

Computer Aided Geometric Design

Computer Aided Geometric Design

Computer Aided Geometric Design

Computer Aided Geometric Design

B-splines without divided differences