Franz Josef Natterer
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Franz Josef Natterermathematics Degrees
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Mathematics
Why Is Franz Josef Natterer Influential?
(Suggest an Edit or Addition)Franz Josef Natterer's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- The Mathematics of Computerized Tomography (1986) (3551)
- Mathematical methods in image reconstruction (2001) (979)
- Error bounds for tikhonov regularization in hilbert scales (1984) (237)
- A propagation-backpropagation method for ultrasound tomography (1995) (175)
- Inversion of the attenuated Radon transform (2001) (160)
- Mathematical problems of computerized tomography (1983) (130)
- On the inversion of the attenuated Radon transform (1979) (123)
- Toward accurate attenuation correction in SPECT without transmission measurements (1997) (119)
- Determination of tissue attenuation in emission tomography of optically dense media (1993) (108)
- Photo-acoustic inversion in convex domains (2012) (104)
- Sampling in Fan Beam Tomography (1993) (102)
- Computerized Tomography with Unknown Sources (1983) (84)
- Mathematical Aspects of Computerized Tomography (1981) (71)
- Numerical methods in tomography (1999) (64)
- Numerical methods of high-order accuracy for singular nonlinear boundary value problems (1970) (62)
- Attenuation correction in PET using consistency information (1998) (60)
- Fréchet Derivatives for Some Bilinear Inverse Problems (2002) (55)
- A Sobolev Space Analysis of Picture Reconstruction (1980) (55)
- X-ray Tomography (2008) (49)
- Local and global tomography (1990) (44)
- Efficient implementation of `Optimal' algorithms in computerized tomography (1980) (39)
- Fourier reconstruction in tomography (1985) (39)
- An error bound for the Born approximation (2004) (39)
- Fast Fourier Methods for Synthetic Aperture Radar Imaging (2012) (38)
- Past and future directions in x‐ray computed tomography (CT) (2002) (34)
- The finite element method for ill-posed problems (1977) (33)
- Development and application of multi-disciplinary optimization capabilities based on high-fidelity methods (2012) (28)
- Comparison of three applications of ConTraSPECT (1998) (27)
- Mathematical Methods in Tomography (2006) (25)
- Marching schemes for inverse acoustic scattering problems (2005) (24)
- Numerical treatment of ill-posed problems (1986) (22)
- Algorithms in Tomography (1997) (21)
- Reflectors in wave equation imaging (2008) (21)
- Attenuation correction in positron emission tomography (1992) (19)
- Aircraft Wing Optimization Using High Fidelity Closely Coupled CFD and CSM Methods (2010) (17)
- Inverting the attenuated vectorial Radon transform (2005) (17)
- Uniform convergence of Galerkin’s method for splines on highly nonuniform meshes (1977) (17)
- Efficient evaluation of oversampled functions (1986) (16)
- Resolution for radar and x-ray tomography (2003) (15)
- An Initial Value Approach to the Inverse Helmholtz Problem at Fixed Frequency (1997) (14)
- On the Order of Regularization Methods (1983) (14)
- A generalized spline method for singular boundary value problems of ordinary differential equations (1973) (14)
- Sonic Imaging (2015) (10)
- The Identification Problem in Emission Computed Tomography (1981) (10)
- Regularization Techniques in Medical Imaging (1988) (10)
- Image Reconstruction in Quantitative Susceptibility Mapping (2016) (10)
- CALL FOR PAPERS: ISBI'06 2006 IEEE International Symposium on Biomedical Imaging: From Nano to Macro (2006) (9)
- An algorithm for 3D ultrasound tomography (1997) (9)
- Scatter Correction in PET Using the Transport Equation (2006) (8)
- Numerical inversion of the Radon transform (1978) (8)
- Computational Radiology and Imaging: Therapy and Diagnostics (2012) (8)
- Exploiting the Ranges of Radon Transformsin Tomography (1983) (7)
- Computational Radiology and Imaging (1999) (7)
- Accurate attenuation correction in SPECT without transmission measurements (1995) (7)
- Ultrasound mammography with a mirror (2010) (7)
- 1. Computerized Tomography (2001) (5)
- A finite difference method for the inverse scattering problem at fixed frequency (1993) (5)
- Reflection imaging without low frequencies (2011) (5)
- Incomplete data problems in wave equation imaging (2010) (5)
- Mathematical Models for Medical Imaging (1999) (5)
- Mathematical Methods in Tomography: Proceedings of a Conference Held in Oberwolfach, Germany, 5-11 June, 1990 (1992) (4)
- A Lanczos type algorithm for inverse Sturm-Liouville problems (1992) (4)
- The Radon Transform and Related Transforms (1986) (4)
- Basic algorithms in tomography (1990) (3)
- Ill-posedness and Accuracy (1986) (3)
- Ultrasound Tomography (2020) (3)
- A Direct Algebraic Algorithm in Computerized Tomography (1987) (3)
- Mathematical Aspects of Computerized Tomography: Proceedings, Oberwolfach, February 10 -16, 1980 (1981) (3)
- Image Reconstruction in Transmission Ultrasound Tomography (2004) (2)
- SEVERELY ILL-POSED RADON PROBLEMS (1987) (2)
- The Attenuated Radon Transform (1988) (2)
- Configuration of a shear web based actuation system (2010) (1)
- Reflection imaging of layered media without using low frequencies (2013) (1)
- Numerical Solution Of Inverse Evolution Problems Via The Nonlinear Levitan Equation (2002) (1)
- 5. Reconstruction Algorithms (2001) (1)
- Numerical scheme for solving the acoustical inverse scattering problem (1997) (1)
- Book Review: Mathematics of medical imaging@@@Book Review: Inside out: Inverse problems and applications (2004) (1)
- FRDERIVATIVES FOR SOME BILINEAR INVERSE PROBLEMS (2002) (1)
- AN ALGORITHM FOR THE FULLY NONLINEAR INVERSE SCATTERING PROBLEM AT FIXED FREQUENCY (2001) (1)
- 6. Problems That Have Peculiarities (2001) (0)
- Analysis of a flexible trailing-edge slat (2010) (0)
- On the smoothing property of the Bayes approach to picture reconstruction (1978) (0)
- 4. Stability and Resolution (2001) (0)
- 6. Incomplete Data (2001) (0)
- MDORMEC - Contribution from FA to the DLR-MDOrmec project (2010) (0)
- provided Schubaktuator and with such a carrier Schubaktuator (2008) (0)
- Resolution in Computerized Tomography (1987) (0)
- ANU volume 8 issue 1 Cover and Front matter (1999) (0)
- 7. Nonlinear Tomography (2001) (0)
- 7. Mathematical Tools (2001) (0)
- Direct Evidence for Inversion Formula in Multifractal Financial Volatility Measure (2017) (0)
- 2. Integral Geometry (2001) (0)
- ON BEST POSSIBLE ORDER OF CONVERGENCE ESTIMATES IN THE COLLOCATION METHOD AND GALERKIN ’ S METHOD FOR SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF FIRST-ORDER ORDINARY DIFFERENTIAL EQUATIONS (1999) (0)
- Inverse Problems for Discrete Evolution Models (1990) (0)
- Efficient scanning in fan-beam tomography (1992) (0)
- A DIRECT ALGORITHM FOR CT WITH INCOMPLETE DATA. (1982) (0)
- 2D Sampling in Tomography (1991) (0)
- Sampling and Resolution (1986) (0)
- Inverse Problems and Imaging (2008) (0)
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