Blossoming and curvatures of surface patches

Authors:
Przemysław Kiciak;Renata Kiełbiewska
Affiliations:
Instytut Matematyki Stosowanej i Mechaniki, Uniwersytet Warszawski, ul. Banacha 2, 02-097 Warszawa, Poland;Instytut Matematyki Stosowanej i Mechaniki, Uniwersytet Warszawski, ul. Banacha 2, 02-097 Warszawa, Poland
Venue:
Computer Aided Geometric Design
Year:
2008

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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 Bezier representations) are searched.