Naslov
Two-Dimensional Adaptive Perfect Reconstruction Filter Banks Using Lifting Scheme

Autori
Vrankić, Miroslav

Vrsta, podvrsta i kategorija rada
Ocjenski radovi, magistarski rad

Fakultet
Fakultet elektrotehnike i računarstva

Mjesto
Zagreb

Datum
07.07

Godina
2003

Stranica
127

Mentor
Seršić, Damir

Ključne riječi
wavelet filter banks; second generation wavelets; multiresolution analysis; adaptive lifting scheme; quincunx polyphase decomposition; nonseparable filters; interpolating filters; lossy image reconstruction

Sažetak
More efficient coding, modelling and image analysis generate the need for search for better methods of the multiresolution image analysis, i.e. for more efficient wavelet filter bank structures. This thesis is based on a previous research of one-dimensional filter bank structures that had the possibility to adapt filter parameters to the properties of the analyzed signal. In this thesis we present the construction of a two-dimensional adaptive wavelet filter bank that is based on a lifting scheme. The filter bank is nonseparable, based on a quincunx polyphase decomposition and nonseparable filters. The lifting scheme has been chosen since it allows for an easy construction of space varying filter banks with a perfect reconstruction property. The proposed filter bank adapts to the analyzed image for every pixel in all decomposition levels while still preserving the good properties of the wavelet decomposition. A number of vanishing moments is guaranteed by the fixed part of the filter bank. Without degrading the overall filter bank properties, the variable part can be changed in order to adapt to the analyzed image. The paper explores various one-dimensional and two-dimensional adaptation methods based on the least squares criterion. Adaptation results have been shown for a number of synthetic and real-world images. Effects of lossy image reconstruction and impact of filter coefficients' quantization to the efficiency of the image decomposition have been presented.

Izvorni jezik
Engleski

Znanstvena područja
Elektrotehnika

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