Recurrence surfaces on arbitrary quadrilateral mesh

Authors:
Xiaonan Luo;Hui Nie;Yi Li;Zhongxuan Luo
Affiliations:
Zhongshan University, Guangzhou 510275, China;Zhongshan University, Guangzhou 510275, China;The HongKong Polytechnic University, HungHon, Kowloon, Hong Kong, China;Dalian University of Technology, Dalian 116023, China
Venue:
Journal of Computational and Applied Mathematics - Selected papers of the international symposium on applied mathematics, August 2000, Dalian, China
Year:
2002

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Abstract

In this paper, L- and W-surface are constructed via recurrence scheme. The derivation formulae, basis function properties, envelope theorems of L-surface and an equivalent representation of L-surface into Bezier surface are presented. Especially, a C2 bicubic spline surface on a cross-cut grid partition consisting of quadrilaterals is given, which can be used to replace the biquintic surface in most of the applications. The new method has been applied in the field of contour design of human body and aircraft.