Title :
Analysis of conversion matrix between geometrically continuous splines and Bezier representation
Author :
Luhong Diao ; Sen Zhang ; Lei Liu ; Hua Li ; Lin, Zongkai
Author_Institution :
Coll. of Appl. Sci., Beijing Univ. of Technol., Beijing, China
Abstract :
The conversion matrix between Beta-spline basis functions and Bézier representation is analyzed in this paper. Based on it, calculation of arbitrary degree Beta-spline basis functions can be translated into a solution of linear system of equations. The construction of Beta-spline is simplified greatly, which made it more suitable for implement in pervasive computing.
Keywords :
computational geometry; matrix algebra; ubiquitous computing; Beta-spline basis functions; Bezier representation; conversion matrix analysis; geometrically continuous splines; pervasive computing; Computers; Design automation; Mathematical model; Polynomials; Shape; Spline; Bezier Basis Functions; Conversion Matrix; Geometric Continuity;
Conference_Titel :
Pervasive Computing and Applications (ICPCA), 2010 5th International Conference on
Conference_Location :
Maribor
Print_ISBN :
978-1-4244-9144-5
DOI :
10.1109/ICPCA.2010.5871345
