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A method for constructing G1 continuous splines via matrix decomposition

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3 Author(s)
Luhong Diao ; Chinese Acad. of Sci., Inst. of Comput. Technol., Beijing, China ; Hua Lia ; Zongmin Li

Analysis of transforming matrices between Bezier basis functions and geometrically continuous basis functions is presented. It is shown that G2 transforming matrix has some relationship with G1 transforming matrix. Based on this relationship a method of calculating G1 basis functions is introduced, the degree of which is higher than quadratic. These basis functions are expressed explicitly via matrices decomposition. Equations for constructing G2 splines can be presented independently of geometric shape parameters' values.

Published in:

Computer Aided Design and Computer Graphics, 2005. Ninth International Conference on

Date of Conference:

7-10 Dec. 2005