2015/07/11 by Tian-Xiao He, He, Tian-Xiao, Tung Nguyen +1
Computer Science · Engineering · Mathematics · #Advanced Image Fusion Techniques #Image and Signal Denoising Methods #Statistical and numerical algorithms #math.FA #msc:39A70 #msc:41A30 #msc:42C40 #msc:65T60
paper · pdf · doi:10.48550/arxiv.1507.03057
arxiv created 2015/07/11 · arxiv updated 2015/07/14
We use Lorentz polynomials to present the solutions explicitly of equations (6.1.7) of [I. Daubechies, Ten lectures on wavelets, CBMS-NSF Regional Conference Series in Applied Mathematics, 61. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1992] and (4.9) of [I. Daubechies, Orthonormal bases of compactly supported wavelets. Comm. Pure Appl. Math. 41 (1988), no. 7, 909--996] sot that we give an efficient way to prove Daubechies' results on the existence of spline type orthogonal scaling functions and to evaluate Daubechies scaling functions.