Image analysis – Applications – Biomedical applications
Reexamination Certificate
2005-12-21
2011-12-20
Azarian, Seyed (Department: 2624)
Image analysis
Applications
Biomedical applications
C382S280000, C378S019000
Reexamination Certificate
active
08081807
ABSTRACT:
A method of reconstructing an (n+1)-dimensional image function ƒ representing a region of investigation comprises determining the image function ƒ from n-dimensional or less dimensional Radon data comprising a plurality of projection functions pθ(t) measured corresponding to a plurality of predetermined projection directions (Θ), wherein the image function ƒ is determined as a sum of polynomials multiplied with values of the projection functions pθ(t). Imaging methods, imaging devices, and computer tomography devices using this reconstruction method are described.
REFERENCES:
patent: 4315157 (1982-02-01), Barnes
patent: 5592523 (1997-01-01), Tuy et al.
patent: 6343110 (2002-01-01), Li
patent: 6944259 (2005-09-01), Yang
patent: 2009/0245456 (2009-10-01), Tischenko et al.
patent: 2009/0297009 (2009-12-01), Xu et al.
Kalender, “Computed Tomography—Fundamentals, System Technology, Image Quality, Applications,” Chapter 2, (2000).
Herman “Image Reconstruction from Projections: The Fundamentals of Computerized Tomography,” Academic Press, Chapter 6, (1980).
R. Marr, “On the Reconstruction of a Function on a Circular Domain from a Sampling of its Line Integrals,” J. Math. Anal. Appl., 45:357-374, (1974).
F. Natterer: “The Mathematics of Computerized Tomography,” Reprint of the 1986 original Classics in Applied Mathematics 32 SIAM, Philadelphia, PA, (2001).
F. Natterer and F. Wuebbeling “Mathematical Methods in Image Reconstruction,” SIAM, Philadelphia, PA, (2001).
C. Dunkl and Yuan Xu “Orthogonal Polynomials of Several Variables,” Cambridge University Press, Chapter 6, (2001).
Yuan Xu “Funk-Hecke Formula for Orthogonal Polynomials on Spheres and on Balls,” in Bull. London Math. Soc., 32:447-457, (2000).
Yuan Xu “Representation of Reproducing Kernels and the Lebesgue Constants on the Ball” in J. Approximation Theory, 112:295-310, (2001).
International Search Report and Written Opinion from related application PCT/EP2005/013801, Mar. 3, 2006.
International Preliminary Examination Report from related application PCT/EP2005/013801, Dec. 22, 2006.
Bortfeld T. et al., “Fast and exact 2D image reconstruction by means of Chebyshev decomposition and backprojection,” Physics in Medicine and Biology 44:1105-1120 (Apr. 1999).
Hanson and Wecksung, “Local basis-function approach to computed tomography,” Appl. Opt. 24:4028-4039 (Dec. 1985).
Hoeschen Christoph
Tischenko Oleg
Xu Yuan
Azarian Seyed
Helmholtz Zentrum München Deutsches Forschungszentrum f
Klarquist & Sparkman, LLP
State of Oregon Acting by and through the State Board of Higher
LandOfFree
Method and device of reconstructing an (n+1)-dimensional... does not yet have a rating. At this time, there are no reviews or comments for this patent.
If you have personal experience with Method and device of reconstructing an (n+1)-dimensional..., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Method and device of reconstructing an (n+1)-dimensional... will most certainly appreciate the feedback.
Profile ID: LFUS-PAI-O-4313244