论文信息 - Interpolation and Wavelets on Sparse Gau?-Chebyshev Grids

Interpolation and Wavelets on Sparse Gau?-Chebyshev Grids

Nested spaces of multivariate functions on the square forming a non-stationary multiresolution analysis are investigated. The scaling functions of these spaces are fundamental Lagrange interpolants on a sparse Gauu{Chebyshev grid. The approach based on Boolean sums leads to sample spaces of signiicantly lower dimension. The algorithms for complete decomposition and reconstruction are of simple structure and low complexity.

F. Sprengel

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