Frame reconstruction of the Laplacian pyramid

Author

Do, Minh N. ; Vetterli, Martin

Author_Institution

Lab. for Audio-Visual Commun., Swiss Federal Inst. of Technol., Lausanne, Switzerland

Volume

6

fYear

2001

fDate

2001

Firstpage

3641

Abstract

We study the Laplacian pyramid (LP) as a frame operator, and this reveals that the usual reconstruction is suboptimal. With orthogonal filters, the LP is shown to be a tight frame, thus the optimal linear reconstruction using the dual frame operator has a simple structure as symmetrical with the forward transform. For more general cases, we propose an efficient filter bank for reconstruction in the LP that is shown to perform better than the usual method. Numerical results indicate that gains of more than 1 dB are actually achieved

Keywords

Laplace transforms; duality (mathematics); filtering theory; image coding; image reconstruction; mathematical operators; optimisation; Laplacian pyramid; dual frame operator; filter bank; forward transform; frame reconstruction; image coding; optimal linear reconstruction; orthogonal filters; symmetry; Filter bank; Filtering; Frequency; Image coding; Image reconstruction; Laplace equations; Multidimensional systems; Nonlinear filters; Reconstruction algorithms; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01). 2001 IEEE International Conference on

Conference_Location

Salt Lake City, UT

ISSN

1520-6149

Print_ISBN

0-7803-7041-4

Type

conf

DOI

10.1109/ICASSP.2001.940631

Filename

940631