Abstract
In this paper it is studied that the generated theory of wave recursive inter polation of uniform T-subdivision scheme include wave parameter.
The paper analyses the convergence of sequences of control polygons produced by wave recursive inter polation T-subdivision scheme of the form
, j=1,2,...,T−1; m=0,1,...,nTk; k=0,1,2,.... and differentiability of the limit curve.
Similar content being viewed by others
References
Qi Dongxu, Liang Zhenshen and Ma Siliang, Graph and Computer Explore. Jilin University Press. 1989.
Catmull, E., and Clark, J., Recursively Generated B-spline Surfaces an Arbitrary Topological Meshes. Comput Aided Design. 10 (1978) 350–355.
Sato, M., Recursive Interpolation Science on Form, S. Ishizaka (eds.), KTK Scientific Publishers, Tokoy, (1987).
Dyn, N., Gregory, J. A. and Leven, D., a 4-point Interpolatory Subdivision Scheme for Curve Design. Comput. Aided. Geom. Disign, 4 (1987) 257–268.
Xing Liping and Qi Dongxu, A Recursive Subdivision Method Simulating Terrain, International Conference Proceedings Pacific Graphics’94/CADDM’94, Aug. 26–29, 1994.
Xing Liping, Natural Phenomena Modelling and Iterative Generation of Fractal, Jilin University thesis of doctor, 1992.
Cavaretta, A. S., Dahmen, W. and Micchelli, C. A., Stationary Subdivision, Memoir of Amer. Math. Soc., 93 (1991), 1–186.
Dyn, N., Gregory, J. A. and Leven, D., Analysis of Uniform Binary Subdivision Scheme for Curve Design Constructive Approx., 7 (1991) 127–147.
Author information
Authors and Affiliations
Additional information
Project Supported by the Science Technology Committee of Henan.
Rights and permissions
About this article
Cite this article
Zhenwen, C. Wave recursive interpolation. Approx. Theory & its Appl. 12, 67–80 (1996). https://doi.org/10.1007/BF02849318
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02849318