Multiresolution filter design

Edward R. Dougherty; Junior Barrera; Gerard Mozelle; Seungchan Kim; Marcel Brun

doi:10.1117/12.379392

3 March 2000 Multiresolution filter design

Edward R. Dougherty, Junior Barrera, Gerard Mozelle, Seungchan Kim, Marcel Brun

Proceedings Volume 3961, Nonlinear Image Processing XI; (2000) https://doi.org/10.1117/12.379392
Event: Electronic Imaging, 2000, San Jose, CA, United States

Abstract

The performance of a designed digital filter is measured by the sum of the errors of the optimal filter and the estimation error. Viewing an image at a high resolution results in optimal filters having smaller errors than at lower resolutions; however, higher resolutions bring increased estimation error. Hence, choosing an appropriate resolution for filter design is important. This paper discusses estimation of optimal filters in a pyramidal multiresolution framework. To take advantage of data at all resolutions, one can use a hybrid multiresolution design. In hybrid design, a sequence of filters is designed using data at increasing resolutions. With hybrid multiresolution design, the value of the designed filter at a given observation is based on the highest resolution at which conditioning by the observation is considered significant.

Citation Download Citation

Edward R. Dougherty, Junior Barrera, Gerard Mozelle, Seungchan Kim, and Marcel Brun "Multiresolution filter design", Proc. SPIE 3961, Nonlinear Image Processing XI, (3 March 2000); https://doi.org/10.1117/12.379392

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