Multivariate convexity preserving interpolation by smooth functions

Author:

Carnicer J. M.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference12 articles.

1. J.M. Carnicer and W. Dahmen, Convexity preserving interpolation and Powell-Sabin elements, Comp. Aided Geom. Design 9 (1992) 279–289.

2. J.M. Carnicer and W. Dahmen, Characterization of local strict convexity preserving interpolation methods by C1 functions, J. Approx. Theory, to appear.

3. W. Dahmen and C.A. Micchelli, Convexity of multivariate Bernstein polynomials and box spline surfaces, Studia Sci. Math. Hung. 23 (1988) 265–287.

4. M. Neamtu, A contribution to the theory and practice of multivariate splines, Ph.D. Thesis, University of Twente, the Netherlands (1991).

5. T. Lyche, A recurrence relation for Chebyshevian B-splines, Constr. Approx. 1 (1985) 155–173.

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