$G^{1}$ blending B-spline surfaces and optimization. (English)
Le Thi, Hoai An (ed.) et al., Modelling, computation and optimization in information systems and management sciences. Second international conference MCO 2008, Metz, France - Luxembourg, September 8‒10, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-87476-8/pbk). Communications in Computer and Information Science 14, 458-467 (2008).
Summary: Recently, some results on $G^{1}$ continuity conditions for two adjacent B-spline surfaces such as bicubic or biquartic B-spline surfaces have been developed in the literature. However, the blending and the optimization problems related to these surfaces were not studied. Then, we give in this paper a method which allows to solve a $G^{1}$ blending problem of two B-spline surfaces and an algorithm for finding optimal surfaces.