Algebraic properties of discrete box splines

Wolfgang Dahmen; Charles A. Micchelli

doi:10.1007/bf01890565

journal article Dec 01, 1987

Algebraic properties of discrete box splines

Wolfgang Dahmen Charles A. Micchelli

Constructive Approximation Vol. 3 No. 1 pp. 209-221 · Springer Science and Business Media LLC

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References

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B-splines from parallelepipeds

C. de Boor, K. Höllig

Journal d'Analyse Mathématique 1982 10.1007/bf02786872

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C. K. Chui, K. Jetter, J. D. Ward (1985): Cardinal Interpolation by Multivariable Splines. CAT Report No. 86. College Station: Texas A & M University.

[3]

E. Cohen, T. Lyche, R. Riesenfeld (1984):Discrete box splines and refinement algorithms. Comput. Aided Geom. Design,1:131–148. 10.1016/0167-8396(84)90026-8

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W. Dahmen, C. A. Micchelli (1983):Translates of multivariate splines. Linear Algebra Appl.,52/53:217–234.

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W. Dahmen, C. A. Micchelli (1983):Recent progress in multivariate splines, In: Approximation Theory IV (C. K. Chui, L. L. Schumaker, J. D. Ward eds.). New York: Academic Press, pp. 17–121.

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W. Dahmen, C. A. Micchelli (1985):On the local linear independence of translates of a box spline. Studia Math.,82:243–263. 10.4064/sm-82-3-243-263

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W. Dahmen, C. A. Micchelli (1985):On the solution of certain systems of partial difference equations and linear dependence of translates of box splines. Trans. Amer. Math. Soc.,292:305–320. 10.1090/s0002-9947-1985-0805964-6

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W. Dahmen, C. A. Micchelli (1984):Subdivision algorithms for the generation of box spline surfaces. Comput. Aided Geom. Design,1:115–129. 10.1016/0167-8396(84)90025-6

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W. Dahmen, C. A. Micchelli (1986): On the Number of Solutions to Linear Diophantine Equations and Multivariate Splines. IBM Research Report No. 11725 (# 52648).

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Published: Dec 01, 1987
Vol/Issue: 3(1)
Pages: 209-221
License: View

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Cite This Article

Wolfgang Dahmen, Charles A. Micchelli (1987). Algebraic properties of discrete box splines. Constructive Approximation, 3(1), 209-221. https://doi.org/10.1007/bf01890565

Algebraic properties of discrete box splines

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