2011/09/29 by Ming‐Jun Lai, Lai, Ming-Jun, David Roach +1
Computer Science · Engineering · Mathematics · #42C40 #Advanced Numerical Analysis Techniques #FOS: Mathematics #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.1109.6403
openalex publication_date 2011/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
In this paper, we give a parameterization of the class of bivariate symmetric orthonormal scaling functions with filter size 6× 6 using the standard dilation matrix 2I. In addition, we give two families of refinable functions which are not orthonormal but have associated tight frames. Finally, we show that the class of bivariate symmetric scaling functions with filter size 8× 8 can not have two or more vanishing moments.