Splines with Minimal Defect and Decomposition Matrices

Authors

  • A. A. Makarov Saint-Petersburg State University, Saint-Petersburg

DOI:

https://doi.org/10.26713/cma.v3i3.218

Keywords:

Spline, Wavelet, Biorthogonal system, Decomposition matrix, Reconstruction matrix, Knot insertion, Refinement equation, Subdivision scheme

Abstract

Finite-dimensional space of twice continuously differentiable splines on a nonuniform grid are considered. We also construct a system of linear functionals biorthogonal to the splines and resolve an interpolation problem generated by this system. We derive the decomposition matrices on an interval and on a segment for the space of forth order (third degree) splines associated with infinite and finite nonuniform grids respectively.

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References

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CITATION

How to Cite

Makarov, A. A. (2012). Splines with Minimal Defect and Decomposition Matrices. Communications in Mathematics and Applications, 3(3), 355–367. https://doi.org/10.26713/cma.v3i3.218

Issue

Vol. 3 No. 3 (2012)

Section

Research Article

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