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Hyperanalytic thresholding

Olhede, SC; (2006) Hyperanalytic thresholding. In: Proceedings International Conference on Image Processing, Vols 1-7. (pp. 1421 - 1424). IEEE

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A new thresholding criterion is introduced, and combined with local function decomposition, to form an estimate of a deterministic image immersed in white noise. The purpose of the new threshold is to construct image estimates exhibiting continuity jointly across spatial location and spatial frequency. The new threshold criterion is based on the magnitudes of the local decomposition coefficients of the image and phase-shifted versions of the image. Two possible sets of phase-shifted versions are used, and suitable universal thresholds noted. The additional computational cost of the proposed procedure is minor, and thus it makes an attractive improvement to existing thresholding methodology. Examples are given where the reconstructed image, using the new threshold, has improved visual characteristics, as well as a reduced mean square error.

Type: Proceedings paper
Title: Hyperanalytic thresholding
Event: IEEE International Conference on Image Processing (ICIP 2006)
Location: Atlanta, GA
Dates: 2006-10-08 - 2006-10-11
ISBN-13: 978-1-4244-0480-3
Keywords: Hilbert transforms, Image Reconstruction, Image Representation, Threshold Coding, WAVELET, SIGNAL
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Statistical Science
URI: http://discovery.ucl.ac.uk/id/eprint/54571
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