A comparison of three total variation based texture extraction models
Journal of Visual Communication and Image Representation
New total variation regularized L1 model for image restoration
Digital Signal Processing
Computers in Biology and Medicine
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
A new coarse-to-fine framework for 3d brain MR image registration
CVBIA'05 Proceedings of the First international conference on Computer Vision for Biomedical Image Applications
Proximity algorithms for the L1/TV image denoising model
Advances in Computational Mathematics
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Motivation: Background correction is an important preprocess in cDNA microarray data analysis. A variety of methods have been used for this purpose. However, many kinds of backgrounds, especially inhomogeneous ones, cannot be estimated correctly using any of the existing methods. In this paper, we propose the use of the TV+L1 model, which minimizes the total variation (TV) of the image subject to an L1-fidelity term, to correct background bias. We demonstrate its advantages over the existing methods by both analytically discussing its properties and numerically comparing it with morphological opening. Results: Experimental results on both synthetic data and real microarray images demonstrate that the TV+L1 model gives the restored intensity that is closer to the true data than morphological opening. As a result, this method can serve an important role in the preprocessing of cDNA microarray data. Contact: wy2002@columbia.edu