Title
Practical bounds on image denoising: from estimation to information.
Abstract
Recently, in a previous work, we proposed a way to bound how well any given image can be denoised. The bound was computed directly from the noise-free image that was assumed to be available. In this work, we extend the formulation to the more practical case where no ground truth is available. We show that the parameters of the bounds, namely the cluster covariances and level of redundancy for patches in the image, can be estimated directly from the noise corrupted image. Further, we analyze the bounds formulation to show that these two parameters are interdependent and they, along with the bounds formulation as a whole, have a nice information-theoretic interpretation as well. The results are verified through a variety of well-motivated experiments.
Year
DOI
Venue
2011
10.1109/TIP.2010.2092440
IEEE Transactions on Image Processing
Keywords
Field
DocType
previous work,noise-free image,ground truth,noise corrupted image,image denoising,nice information-theoretic interpretation,practical case,bounds formulation,practical bounds,cluster covariances,well-motivated experiment,computer simulation,mutual information,noise,algorithms,renyi entropy,nickel,shannon entropy,noise measurement,estimation,lower bound,redundancy,noise reduction,covariance matrix
Information theory,Noise measurement,Pattern recognition,Image processing,Ground truth,Redundancy (engineering),Mutual information,Artificial intelligence,Covariance matrix,Entropy (information theory),Mathematics
Journal
Volume
Issue
ISSN
20
5
1941-0042
Citations 
PageRank 
References 
18
0.99
21
Authors
2
Name
Order
Citations
PageRank
Priyam Chatterjee142615.56
Peyman Milanfar270052.20