Title :
The Laplacian pyramid with rational scaling factors and application on image denoising
Author :
Nguyen, Ha Thai ; Linh-Trung, Nguyen
Author_Institution :
Media Process. Lab., Sony Electron. Inc., San Jose, CA, USA
Abstract :
This paper considers the Laplacian pyramid (LP) with rational scaling factors. Desired properties, namely perfect reconstruction, vanishing moment, and smoothness of framelets, and their corresponding mathematical conditions for the filters are discussed. A design procedure to obtain near biorthogonal filters for the rational LP is then proposed. Numerical experiments demonstrate the advantages of the rational LP over the traditional dyadic LP on denoising application.
Keywords :
Laplace transforms; filters; image denoising; biorthogonal filter; image denoising; rational Laplacian pyramid; rational scaling factor; Boats; Gallium nitride; Image denoising; PSNR; Polynomials; Laplacian pyramid; denoising; filter design; multirate processing;
Conference_Titel :
Information Sciences Signal Processing and their Applications (ISSPA), 2010 10th International Conference on
Conference_Location :
Kuala Lumpur
Print_ISBN :
978-1-4244-7165-2
DOI :
10.1109/ISSPA.2010.5605441
