A general scheme for constructing inversion algorithms for cone beam CT.
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Katsevich, Alexander (2003)
International Journal of Mathematics and Mathematical Sciences
Pavol Chocholatý (1992)
Mathematica Slovaca
Ang, D.D., Gorenflo, R., Trong, D.D. (1999)
Zeitschrift für Analysis und ihre Anwendungen
Greengard, Leslie, Sun, Xiaobai (1998)
Documenta Mathematica
Postnikov, E.B. (2003)
Journal of Applied Mathematics
G. Greaves (1982)
Numerische Mathematik
Izabella Laba, Terence Tao (2001)
Revista Matemática Iberoamericana
We prove an x-ray estimate in general dimension which is a stronger version of Wolff's Kakeya estimate [12]. This generalizes the estimate in [13], which dealt with the n = 3 case.
Yamamoto, Toshihiro (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
H. Wozniakowski, Arthur G. Werschulz (1986)
Aequationes mathematicae
Diethelm, Kai, Köhler, Peter (2000)
Journal of Inequalities and Applications [electronic only]
John Lund (1985)
Numerische Mathematik
Jean-Philippe Lessard (2018)
Applications of Mathematics
We introduce a method to compute rigorous component-wise enclosures of discrete convolutions using the fast Fourier transform, the properties of Banach algebras, and interval arithmetic. The purpose of this new approach is to improve the implementation and the applicability of computer-assisted proofs performed in weighed Banach algebras of Fourier/Chebyshev sequences, whose norms are known to be numerically unstable. We introduce some application examples, in particular a rigorous aposteriori...
C. Lubich (1987/1988)
Numerische Mathematik
Yousef Edrisi Tabriz, Mehrdad Lakestani (2015)
Kybernetika
In this paper, a new numerical method for solving the nonlinear constrained optimal control with quadratic performance index is presented. The method is based upon B-spline functions. The properties of B-spline functions are presented. The operational matrix of derivative () and integration matrix () are introduced. These matrices are utilized to reduce the solution of nonlinear constrained quadratic optimal control to the solution of nonlinear programming one to which existing well-developed...
Livne, Oren E., Wright, Grady B. (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Iqbal, M. (2001)
Journal of Applied Mathematics and Decision Sciences
Frank Natterer (1985)
Numerische Mathematik
Alfred K. Louis, Andreas Rieder (1989/1990)
Numerische Mathematik
Alfred K. Louis (1986)
Numerische Mathematik
L.F. SHAMPINE, J.W. BURGMEIER, R.D. RUSSELL (1971)
Numerische Mathematik
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