Resolution enhancement and sampling with wavelets and footprints

Pier Luigi Dragotti; Martin Vetterli

doi:10.1117/12.504724

13 November 2003 Resolution enhancement and sampling with wavelets and footprints

Pier Luigi Dragotti, Martin Vetterli

Proceedings Volume 5207, Wavelets: Applications in Signal and Image Processing X; (2003) https://doi.org/10.1117/12.504724
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States

Abstract

In this paper, we consider classes of not bandlimited signals, namely, streams of Diracs and piecewise polynomial signals, and show that these signals can be sampled and perfectly reconstructed using wavelets as sampling kernel. Due to the multiresolution structure of the wavelet transform, these new sampling theorems naturally lead to the development of a new resolution enhancement algorithm based on wavelet footprints. Preliminary results show that this algorithm is also very resilient to noise.

Citation Download Citation

Pier Luigi Dragotti and Martin Vetterli "Resolution enhancement and sampling with wavelets and footprints", Proc. SPIE 5207, Wavelets: Applications in Signal and Image Processing X, (13 November 2003); https://doi.org/10.1117/12.504724

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