Title :
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
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;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01). 2001 IEEE International Conference on
Conference_Location :
Salt Lake City, UT
Print_ISBN :
0-7803-7041-4
DOI :
10.1109/ICASSP.2001.940631
