Abstract
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 language | English |
---|---|
Pages (from-to) | 230-241 |
Number of pages | 12 |
Journal | Lecture Notes in Computer Science |
Volume | 3459 |
DOIs | |
State | Published - 2005 |
Event | 5th International Conference on Scale Space and PDE Methods in Computer Vision, Scale-Space 2005 - Hofgeismar, Germany Duration: 7 Apr 2005 → 9 Apr 2005 |