A class of orthogonal multiresolution analyses in 2 DGeorge
نویسندگان
چکیده
A two parameter family of multiresolution analyses of L 2 (R 2) each generated by three orthogonal, continuous, compactly supported scaling functions is constructed using fractal interpolation surfaces. The scaling functions remain orthogonal when restricted to certain triangles making them useful for problems with bounded domains. In the usual construction of a wavelet using a multiresolution analysis (MRA) (V p) there is a single function called the scaling function whose set of integer translates forms a Riesz basis for V 0. In contrast, multiwavelets are constructed from an MRA that is generated by a nite set of scaling functions 1
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