A new method for blending two parametric curves on the sphere

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...

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Bibliographic Details
Published inIET International Conference on Smart and Sustainable City 2013 (ICSSC 2013) pp. 314 - 318
Main Authors Zhenghua Zhou, Wanggen Wan
Format Conference Proceeding
LanguageEnglish
Published Stevenage, UK IET 2013
Subjects
Computational geometry
Interpolation and function approximation (numerical analysis)
space curve blending
polynomials
polynomial function
sphere
computational geometry
curve fitting
parametric curve
radial direction
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Summary: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.
ISBN:9781849197076
1849197075
DOI:10.1049/cp.2013.2030