Regularized interpolation for noisy data

2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings

Volumn , Issue , 2007, Pages 612-615

  Ramani, Sathish ^a   Thévenaz, Philippe ^a   Unser, Michael ^a  

^a EPFL   (Switzerland)

Author keywords

B spline; Bounded optimization; Interpolation; Regularization; Tikhonov criterion; Total variation

Indexed keywords

BIOMEDICAL ENGINEERING; INTERPOLATION; NUMERICAL METHODS; OPTIMAL CONTROL SYSTEMS;

B-SPLINE; BOUNDED OPTIMIZATION; TIKHONOV CRITERION; TOTAL VARIATION;

SIGNAL PROCESSING;

EID: 36348935561     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISBI.2007.356926     Document Type: Conference Paper

References (9)

1. P. Thévenaz, T. Blu, and M. Unser, "Image interpolation and resampling," in Handbook of Medical Imaging, Processing and Analysis, I.N. Bankman, Ed., chapter 25, pp. 393-420. Academic Press, San Diego CA, USA, 2000.
2. Y.C. Eldar and M. Unser, "Nonideal sampling and interpolation from noisy observations in shift-invariant spaces," IEEE Transactions on Signal Processing, vol. 54, no. 7, pp. 2636-2651, July 2006.
3. M. Unser, "Splines: A perfect fit for signal and image processing," IEEE Signal Processing Magazine, vol. 16, no. 6, pp. 22-38, November 1999, IEEE Signal Processing Society's 2000 magazine award.
4. L.I. Rudin, S. Osher, and E. Fatemi, "Nonlinear total variation based noise removal algorithms," Physica D, vol. 60, no. 1-4, pp. 259-268, November 1992.
5. J.M. Bioucas-Dias, M.A.T. Figueiredo, and J.P. Oliveira, "Total variation-based image deconvolution: A majorization-minimization approach," in Proceedings of the Thirty-First International Conference on Acoustics, Speech, and Signal Processing (ICASSP'06), Toulouse, France, May 14-19, 2006, pp. II-861-II-864.
6. D.R. Hunter and K. Lange, "A tutorial on MM algorithms," The American Statistician, vol. 59, no. 1, pp. 30-37(8), February 2004.
7. M. Nikolova and M.K. Ng, "Analysis of half-quadratic minimization methods for signal and image recovery," SIAM Journal on Scientific Computing, vol. 27, no. 3, pp. 937-966, 2005.
8. "Brainweb: Simulated MRI volumes for normal brain," McConnell Brain Imaging Centre, www.bic.mni.mcgill.ca/brainweb/selection_normal.html.
9. C. Voguel, Computational Methods for Inverse Problems, SIAM, Philadelphia, 2002.