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By De Cicco V., Fusco N., Verde A.

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71 (1987), 231-303. 10. , Using Laurent polynomial representation for the analysis of the nonuniform binary subdivision schemes, Advances in Computational Mathematics 11 (1999), 41-54. 11. , Dyn, N. , Geometrically controlled 4-point interpolatory schemes, in: Advances in Multiresolution for Geometric Modelling (N. A. Dodgson, M. S. Floater and M. A. ), Springer-Verlag, New York, 2005. 12. , Nonlinear corner cutting, Advances in Computational Mathematics 8 (1998), 165-177. 13. , Accelerations of Riemannian quadrations, Proc.

27. , Amer. Math. Soc, Providence, RI, 1975. 28. Widder, D. , The Laplace Transform, 8th printing, Princeton University Press, Princeton, 1972. 29. , Approximationsordnung und Regularitat von Differentialoperatoren, Habilitationsschrift, Gerhard-Mercator-Universitat Duisburg, 1996. 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.

L. Merrien and L. L. ), Nashboro Press, Brentwood, 2003, pp. 323-332. 38 Nira Dyn 15. Rahman, I. , Donoho, D. L. , Multiscale representations for manifold-valued data, preprint. 16. , A circle-preserving variant of the four-point subdivision scheme, preprint. 17. Wallner, J. , Convergence and C1 analysis of subdivision schemes on manifolds by proximity, Computer Aided Geometric Design, to appear. 18. , Smoothness analysis of subdivision schemes by proximity, preprint. 19. Xie, G. and Yu, T. , On a linearization principle for nonlinear p-mean subdivision schemes, in: Advances in Constructive Approximation (M.

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A chain rule formula in BV and application to lower semicontinuity by De Cicco V., Fusco N., Verde A.

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