Explicit formulas for bicubic spline surface interpolation

Lizhuang Ma; Qunsheng Peng; Jieqing Feng

doi:10.1117/12.235516

22 March 1996 Explicit formulas for bicubic spline surface interpolation

Lizhuang Ma, Qunsheng Peng, Jieqing Feng

Proceedings Volume 2644, Fourth International Conference on Computer-Aided Design and Computer Graphics; (1996) https://doi.org/10.1117/12.235516
Event: Fourth International Conference on Computer-Aided Design and Computer Graphics, 1995, Wuhan, China

Abstract

In this paper, explicit formulas are developed for representing a uniform bicubic spline surface that passes through an array of data points. The interpolated surface in the closed case is topologically equivalent to a torus. Open surface cases are reduced to closed surface cases by introducing one or two rows of `free points' such that the spline surface wraps around its boundaries. Ordinary interpolation surfaces in open cases can thus be constructed with the same formulas. It turns to be more intuitive and effective to control and modify the shape of the resultant surfaces by adjusting `free points' than by the usual derivatives and twist vectors. The interpolation surface is obtained in a two step way and the procedure is very easy to implement. Experimental results demonstrate that the proposed formulas are practically useful.

Citation Download Citation

Lizhuang Ma, Qunsheng Peng, and Jieqing Feng "Explicit formulas for bicubic spline surface interpolation", Proc. SPIE 2644, Fourth International Conference on Computer-Aided Design and Computer Graphics, (22 March 1996); https://doi.org/10.1117/12.235516

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