(Bi)orthogonal (multi)wavelets on the real line have been extensively studied and employed in applications with success. A lot of problems are defined bounded intervals or domains. Therefore, it is important both theory application to construct all possible wavelets some desired properties from (bi)orthogonal line. Vanishing moments compactly supported key property for sparse wavelet representa...

This paper presents a general construction of compactly supported biorthogo-nal wavelets in L 2 (IR s). In particular, a concrete method for the construction of bivariate compactly supported biorthogonal wavelets of increasing smoothness is provided. Several examples are computed. The estimate of smoothness of those examples are given based on criteria established in RiS3].