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By Pei J., Zhang X.

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13 (1976), 261-268. 6. , Curves and Surfaces for Computer Aided Geometric Design, Academic Press, San Diego, 1988. 7. Floater, M. , Arc length estimation and the convergence of parametric polynomial interpolation, preprint, CMA, Oslo (2005). 8. Floater, M. , Chordal cubic spline interpolation is fourth order accurate, IMA J. Numer. , to appear. 9. Foley, T. A. and Nielson, G. , Knot selection for parametric spline interpolation, in: Mathematical Methods in Computer Aided Geometric Design, Proc.

2. , Jacobi polynomials, I. New proofs of Koornwinder's Laplace type integral representation and Bateman's bilinear sum, SIAM J. Math. Anal. 5 (1974), 119-124. 3. , Jetter, K. , Bernstein-Durrmeyer type quasi-interpolants on intervals, in: Approximation Theory (D. K. Dimitrov, G. Nikolov, R. ), Marin Drinov Academic Publishing House, Sofia, 2004, pp. 32-42. 4. , Jetter, K. , New polynomial preserving operators on the simplex: direct results, J. Approx. Theory 131 (2004), 5973. 5. , Schmid, H. J.

This Page is Intentionally Left Blank Topics in Multivariate Approximation and Interpolation K. V. All rights reserved 23 Three Families of Nonlinear Subdivision Schemes Nira Dyn School of Mathematical Sciences, Tel-Aviv University, Israel Abstract Three families of nonlinear subdivision schemes, derived from linear schemes, are reviewed. The nonlinearity is introduced into the linear schemes by adapting the schemes to the data. The first family, derived from the four-point interpolatory linear subdivision scheme, consists of geometrically controlled schemes, which are either shape preserving or artifact-free.

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1-Generator Quasi-Cyclic Codes by Pei J., Zhang X.

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