Computing solutions to medical problems via sinc convolution

IEEE Transactions on Automatic Control

Volumn 43, Issue 6, 1998, Pages 843-848

  Stenger, Frank ^a   O'Reilly, Michael J ^b  

^a UNIVERSITY OF UTAH   (United States)

^b Axian Inc   (United States)

Author keywords

Computation; Control; Inverse problems

Indexed keywords

BIOMEDICAL ENGINEERING; CALCULATIONS; COMPUTERIZED TOMOGRAPHY; INVERSE PROBLEMS; OPTIMAL CONTROL SYSTEMS; ULTRASONIC APPLICATIONS; X RAY RADIOGRAPHY;

ZINC CONVOLUTION;

CONTROL;

EID: 0032097676     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.679023     Document Type: Article

References (13)

1. M.I. Belishev, "On an approach to multidimensional inverse problems for the wave equation," Soviet Math. Dokl., vol. 36, no. 3, pp. 481-484, 1988.
2. M. K. Jeong, T. K. Song, S. B. Park, and J. B. Ra, "Generation of sinc plane wave by one dimensional array for application in ultrasonic imaging," IEEE Trans. Ultrasonics Frequency Contr., vol. 43, pp. 285-295, 1996.
3. M. Kowalski, K. Sikorski, and F. Stenger, Selected Topics in Approximation and Computation. Oxford, U.K.: Oxford Univ. Press, 1993.
4. J. Lund and K. L. Bowers, "Sinc methods for quadrature and differential equations," SIAM, 1992.
5. M. O'Reilly, A Backprojection Filter Algorithm by Solving the Convolution Equation, to be published.
6. M. O' Reilly and F. Stenger, A New Approach to Inverse Problems Using Sinc Approximation, to be published.
7. S. W. Rowland, "Computer implementation of image reconstruction formulas," in Image Reconstructions from Projections. Berlin, Germany: Springer-Verlag, 1979, Ch. 2.
8. F. Stenger, Numerical Methods Based on Sinc and Analytic Functions. New York: Springer-Verlag, 1993.
9. _, "Collocating convolutions," Math. Comp., vol. 64, pp. 211-235, 1995.
10. F. Stenger, B. Barkey, and R. Vakili, "Sinc convolution method of solution of Burgers' equation," in Proc. Computation and Control III, K. Bowers and J. Lund, Eds. Boston, MA: Birkhäuser, 1993, pp. 341-354.
11. F. Stenger, B. Keyes, M. O'Reilly, and K. Parker, ODE-IVP-PACK, via Sinc Indefinite Integration and Newton Iteration, to be published.
12. F. Stenger, "Sinc inversion of the Helmholtz equation without computing the forward solution," in Proc. Int. Workshop Inverse Problems, HoChiMinh City, 1995, pp. 149-157.
13. S. Suzuki and S. Yamaguchi, "Comparison between an image reconstruction method of filtering backprojection and the filtered backprojection method," Appl. Optics, vol. 27, no. 14. pp. 2867-2870, 1988.