DocumentCode :
681327
Title :
A new method for blending two parametric curves on the sphere
Author :
Zhenghua Zhou ; Wanggen Wan
Author_Institution :
Sch. of Commun. & Inf. Eng., Shanghai Univ., Shanghai, China
fYear :
2013
fDate :
19-20 Aug. 2013
Firstpage :
316
Lastpage :
320
Abstract :
Two given curves can be blended to produce a new curve between the prescribed curves. Blending method provides a transition from one curve to another and can give different degrees of smoothness at the endpoints of the blends. A new method of blending two parametric curves on the sphere is presented in this paper. First, we construct a space curve blending with the prescribed curves on the sphere by choosing appropriate polynomials function, then the final blending curves are obtained by projected onto the unit sphere along the radial direction. C1 and G1 curves blending formulas on the sphere are established, respectively. The performance of our proposed is validated in the experiments.
Keywords :
computational geometry; curve fitting; polynomials; parametric curve; polynomial function; radial direction; space curve blending; sphere; Blending; Parametric Continuity; Sphere;
fLanguage :
English
Publisher :
iet
Conference_Titel :
Smart and Sustainable City 2013 (ICSSC 2013), IET International Conference on
Conference_Location :
Shanghai
Electronic_ISBN :
978-1-84919-707-6
Type :
conf
DOI :
10.1049/cp.2013.2030
Filename :
6737848
Link To Document :
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