Probability and statistics
Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image selective smoothing and edge detection by nonlinear diffusion
SIAM Journal on Numerical Analysis
Scale-Space Theory in Computer Vision
Scale-Space Theory in Computer Vision
Information measures in scale-spaces
IEEE Transactions on Information Theory
Efficient and reliable schemes for nonlinear diffusion filtering
IEEE Transactions on Image Processing
Scale Selection for Compact Scale-Space Representation of Vector-Valued Images
International Journal of Computer Vision
Scale selection for compact scale-space representation of vector-valued images
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Iterative Parameter-Choice and Multigrid Methods for Anisotropic Diffusion Denoising
SIAM Journal on Scientific Computing
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We develop a novel time-selection strategy for iterative image restoration techniques: the stopping time is chosen so that the correlation of signal and noise in the filtered image is minimised. The new method is applicable to any images where the noise to be removed is uncorrelated with the signal; no other knowledge (e.g. the noise variance, training data etc.) is needed. We test the performance of our time estimation procedure experimentally, and demonstrate that it yields near-optimal results for a wide range of noise levels and for various filtering methods.