Orthogonal Polynomials and the Construction of Piecewise Polynomial Smooth Wavelets
George C. Donovan, Jeffrey S. Geronimo, Douglas P. Hardin · SIAM Journal on Mathematical Analysis · 1999
Orthogonal polynomials are used to construct families of C 0 and C 1 orthogonal, compactly supported spline multiwavelets. These families are indexed by an integer which represents the order of approximation. We indicate how to obtain from these multiwavelet bases for L 2 [0,1] and present a C 2 example.