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Curve and surface interpolation using rational radial basis functions

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2 Author(s)
Wen-Hung Liao ; Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA ; Aggarwal, J.K.

This paper addresses the problem of reconstructing two-dimensional curves and three-dimensional surfaces from scattered, sparse measurements. We extend the rational Gaussian (RaG) functions introduced by Goshtasby (1993) to general rational radial basis functions and develop a method to compute the smoothness parameters for the shape model by considering the adjacency relation of the control points. Experimental results demonstrate substantial improvements over the original RaG-based method when the input data is sparse and the distribution of the control points is highly nonuniform

Published in:
Pattern Recognition, 1996., Proceedings of the 13th International Conference on  (Volume:4 )

Date of Conference: 25-29 Aug 1996

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