Estimation of the optimal variational parameter via SNR analysis

Guy Gilboa*, Nir A. Sochen, Yehoshua Y. Zeevi

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review


We examine the problem of finding the optimal weight of the fidelity term in variational denoising. Our aim is to maximize the signal to noise ratio (SNR) of the restored image. A theoretical analysis is carried out and several bounds are established on the performance of the optimal strategy and a widely used method, wherein the variance of the residual part equals the variance of the noise. A necessary condition is set to achieve maximal SNR. We provide a practical method for estimating this condition and show that the results are sufficiently accurate for a large class of images, including piecewise smooth and textured images.

Original languageEnglish
Pages (from-to)230-241
Number of pages12
JournalLecture Notes in Computer Science
StatePublished - 2005
Event5th International Conference on Scale Space and PDE Methods in Computer Vision, Scale-Space 2005 - Hofgeismar, Germany
Duration: 7 Apr 20059 Apr 2005


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