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  Far East Journal of Applied Mathematics  
 ISSN: 0972-0960
 
 
 

     Far East Journal of Applied Mathematics
    Volume 35, Issue 2, Pages 223 - 231 (May 2009)


A DISCRETE APPROACH TO KNOT REMOVAL FOR SCATTERED DATA IN

Xingxuan Peng (P. R. China)

Received January 30, 2009

References:



[1] N. Dyn, M. S. Floater and A. Iske, Adaptive thinning for bivariate scattered data, J. Comput. Appl. Math. 145(2) (2002), 505-517.

[2] G. Farin, Triangular Bernstein-Bézier patches, Comput. Aided Geom. Design 3 (1986), 83-127.

[3] T. N. T. Goodman, H. B. Said and L. H. T. Chang, Local derivative estimation for scattered data interpolation, Appl. Math. Comput. 80 (1994), 1-10.

[4] C. Gotsman, S. Gumhold and L. Kobbelt, Simplification and compression of 3D meshes, Tutorials on Multiresolution in Geometric Modelling, A. Iske, E. Quak and M. S. Floater, eds., Springer, Heidelberg, 2002, pp. 319-360.

[5] P. S. Heckbert and M. Garland, Survey of surface simplification algorithms, Technical Report, Computer Science Department, Carnegie Mellon University, 1997.

[6] Z. X. Luo and X. X. Peng, A spline in range restricted interpolation of scattered data, J. Comp. Appl. Math. 194 (2006), 255-266.

[7] T. Lyche and K. Morken, A discrete approach to knot removal and degree reduction algorithms for splines, Algorithms for Approximation, J. C. Mason and M. G. Cox, eds., Clarendon Press, Oxford, 1987, pp. 67-82.

[8] R. H. Wang, X. Q. Shi, Z. X. Luo and Z. X. Su, Multivariate Spline Functions and their Applications, Kluwer Academic Publishers, 2001.

Keywords and phrases:  spline, knot removal.

 


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