Nonseparable symmetric wavelets with short support
Ming‐Jun Lai, David Roach · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1999
In the following, we give the complete solutions of all bivariate symmetric orthonormal scaling functions with filter size up to 6 X 6 using the standard dilation matrix 2I as well as construct a set of associated wavelets. In addition, we give two families of refinable functions which are not orthonormal, but upon using the same completion technique appear to form tight frames (i.e. they preserve the norm) at least experimentally.