The use of maximum entropy and Bayesian techniques in nuclear microprobe applications

Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms

Volumn 130, Issue 1-4, 1997, Pages 113-117

  Prozesky, V M ^a   Padayachee, J ^a   Fischer, R ^b   Von Der Linden, W ^b   Dose, V ^b   Ryan, C G ^c  

^a NATIONAL ACCELERATOR CENTRE   (South Africa)

^b MAX PLANCK INSTITUT FÜR PLASMAPHYSIK   (Germany)

^c CSIRO   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

INVERSE PROBLEMS; ION BEAMS; PROBES; STATISTICAL METHODS; X RAY SPECTROSCOPY;

BAYESIAN STATISTICS; MAXIMUM ENTROPY METHOD; NUCLEAR MICROPROBES; PARTICLE INDUCED X RAY EMISSION (PIXE);

NUCLEAR INSTRUMENTATION;

EID: 0031549002     PISSN: 0168583X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-583X(97)00217-6     Document Type: Article

References (17)

1. G.F. Knoll, Radiation Detection and Measurement (Wiley, New York, 1979).
2. C.L. Lawson and R.J. Hanson, Solving Least Squares Problems (Prentice-Hall, New York, 1974).
3. G.E. Coote, P. Kwan, Nucl. Instr. and Meth. B 104 (1995) 228.
4. P.A. Jansson, Deconvolution, with Applications in Spectroscopy (Academic Press, New York, 1984).
5. M. Tribus, Rational Descriptions, Decisions and Designs (Pergamon, New York, 1969).
6. E.T. Jaynes, in: Maximum Entropy and Bayesian Methods, ed. P.F. Fougére (Kluwer, Dordrecht, 1990) p. 1.
7. J. Skilling, in: Maximum Entropy and Bayesian Methods, ed. J. Skilling (Kluwer, Dordrecht, 1989) p. 45.
8. S.F. Gull, in: Maximum Entropy and Bayesian Methods, ed. J. Skilling (Kluwer, Dordrecht, 1989) p. 53.
9. C.E.M. Strauss, D.H. Wolpert and D.R. Wolf, in: Maximum Entropy and Bayesian Methods, eds. A. Mohammad-Djafari and G. Demoments (Kluwer, Dordrecht, 1993) p. 113.
10. R. Peutter, Int. J. Image Syst. Tech. 6 (4) (1995) 314.
11. R. Fischer, W. von der Linden and V. Dose, Adaptive Kernels and Occam's razor in inversion problems, Proc. 1996 Int. Workshop on Maximum Entropy and Bayesian Methods, Berg-en-Dal, Kruger National Park, 13-18 Aug. 1996, submitted.
12. C.G. Ryan, D.R. Cousins, S.H. Sie, W.L. Griffin, G.F. Suter, E. Clayton, Nucl. Instr. and Meth. B 47 (1990) 55.
13. J.L. Campbell and S.A.E. Johansson, PIXE: A Novel Technique for Elemental Analysis (Wiley, New York, 1988).
14. V.M. Prozesky et al., Proc. 14th Int. Conf. Application of Accelerators in Research and Industry, Nov. 6-9 1996, Denton, TX, USA.
15. L.R. Doolittle, Nucl. Instr. and Meth. B 15 (1986) 227.
16. V.M. Prozesky et al., Nucl. Instr. and Meth. B 104 (1995) 36.
17. C.L. Churms, V.M. Prozesky and K.A. Springhom, these proceedings (ICNMTA-96), Nucl. Instr. and Meth. B 130 (1997) 70.