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. © Springer-Verlag Berlin Heidelberg 2005.
CITATION STYLE
Gilboa, G., Sochen, N. A., & Zeevi, Y. Y. (2005). Estimation of the optimal variational parameter via SNR analysis. In Lecture Notes in Computer Science (Vol. 3459, pp. 230–241). Springer Verlag. https://doi.org/10.1007/11408031_20
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