Image reconstruction methods based on block circulant system...

Image analysis – Applications – Biomedical applications

Reexamination Certificate

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

C250S363040, C378S004000

Reexamination Certificate

active

07983465

ABSTRACT:
An iterative image reconstruction method used with an imaging system that generates projection data, the method comprises: collecting the projection data; choosing a polar or cylindrical image definition comprising a polar or cylindrical grid representation and a number of basis functions positioned according to the polar or cylindrical grid so that the number of basis functions at different radius positions of the polar or cylindrical image grid is a factor of a number of in-plane symmetries between lines of response along which the projection data are measured by the imaging system; obtaining a system probability matrix that relates each of the projection data to each basis function of the polar or cylindrical image definition; restructuring the system probability matrix into a block circulant matrix and converting the system probability matrix in the Fourier domain; storing the projection data into a measurement data vector; providing an initial polar or cylindrical image estimate; for each iteration; recalculating the polar or cylindrical image estimate according to an iterative solver based on forward and back projection operations with the system probability matrix in the Fourier domain; and converting the polar or cylindrical image estimate into a Cartesian image representation to thereby obtain a reconstructed image.

REFERENCES:
patent: 6718055 (2004-04-01), Suri
patent: 7332721 (2008-02-01), Worstell
patent: 7381959 (2008-06-01), Manjeshwar et al.
patent: 7557352 (2009-07-01), Hefetz
patent: 7680240 (2010-03-01), Manjeshwar et al.
patent: 0 670 067 (1997-07-01), None
Baker et al., “Generalized approach to inverse problems in tomography: Image reconstruction for spatially variant systmes using natural pixels”, Critical Review Biomedical Engineering, vol. 20, pp. 47-71 (1992).
Buonocore et al., “A natural pixel decomposition for two-dimensional image reconstruction”, IEEE Trans. on Biomed. Eng., vol. 28, No. 2, Feb. 1981, pp. 69-78.
Hebert et al., “Fast MLE for SPECT using an intermediate polar representation and a stopping criterion”, IEEE Trans. on Nucl. Sci., vol. 35, No. 1, Feb. 1988, pp. 615-619.
Hudson et al., “Accelerated image reconstruction using ordered subsets of projection data”, IEEE Trans. on Med. Imaging, vol. 13, No. 4, 1994, pp. 100-107.
Kaufman, “Implementing and accelerating the EM algorithm for positron emission tomography”, IEEE Trans. on Med. Imaging, vol. MI-6, No. 1, Mar. 1987, pp. 37-51.
Kearfott, “Comment: Practical Considerations”, Journal of the American Statistical Associateion, vol. 80, No. 389, Mar. 1985, pp. 26-28.
Llacer, “Tomographic image reconstruction by eigenvector decomposition: Its limitations and areas of applicability”, IEEE Transactions on Medical Imaging, vol. MI-1, No. 1, Jul. 1982, pp. 34-42.
Mora et al., “Polar pixels for high resolution small PET”, Conf. Record 2006 IEEE NSS/MIC, San Diego, CA (2006), 6 sheets.
Selivanov et al., “Fast PET image reconstruction based on SVD decomposition of the system matrix”, IEEE Trans. on Nucl. Sci., vol. 48, No. 3, Jun. 2001, pp. 761-767.
Shepp et al., “Maximum likelihood reconstruction for emission tomography”, IEEE Trans. on Med. Imaging, vol. MI-1, No. 2, Oct. 1982, pp. 113-122.
Shim et al., “SVD pseudoinversion image reconstruction”, IEEE Trans. on ASSP, vol. 29, No. 4, Aug. 1981, pp. 904-909.
Vandengerghe et al., Reconstruction of 2D PET data with Monte Carlo generated system matrix for generalized natural pixels, Physics in Medicine Biology, vol. 51, p. 3105-3125 (2006).

LandOfFree

Say what you really think

Search LandOfFree.com for the USA inventors and patents. Rate them and share your experience with other people.

Rating

Image reconstruction methods based on block circulant system... does not yet have a rating. At this time, there are no reviews or comments for this patent.

If you have personal experience with Image reconstruction methods based on block circulant system..., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Image reconstruction methods based on block circulant system... will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFUS-PAI-O-2713440

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.