Case study of nonlinear inverse problems: Mammography and nondestructive evaluation

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 3459, Issue , 1998, Pages 128-135

  Kosheleva, Olga ^a   Cabrera, Sergio D ^a   Osegueda, Roberto A ^b   Ferregut, Carlos M ^b   Nazarian, Soheil ^b   George, Debra L ^b   George, Mary J ^b   Kreinovich, Vladik ^b   Worden, Keith ^c  

^a University of Texas at El Paso   (United States)

^b UNIVERSITY OF TEXAS AT EL PASO   (United States)

^c UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

Mammography; Non destructive evaluation; Non linear data compression; Non linear inverse problem

Indexed keywords

BAYESIAN NETWORKS; DATA COMPRESSION; DIAGNOSTIC RADIOGRAPHY; DIFFERENTIAL EQUATIONS; IMAGE PROCESSING; INFERENCE ENGINES; MEDICAL IMAGING;

CASE STUDIES; HIGHER ORDER TERMS; LINEAR DESCRIPTIONS; LINEAR TERMS; NON-DESTRUCTIVE EVALUATION; NON-LINEAR DATA COMPRESSION; NON-LINEAR INVERSE PROBLEM; NONLINEAR INVERSE PROBLEMS; OUT-LIERS;

INVERSE PROBLEMS;

EID: 17444382079     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.323792     Document Type: Conference Paper

References (11)

1. G. Alefeld and J. Herzberger, Introduction to Interval Computations, Academic Press, N. Y. 1983.
2. D. E. Chimenti, "Guided waves in plates and their use in materials characterization", Appl. Mech. Rev., 50, No. 5, pp. 247-287, 1997.
3. R. W. Clough and J. Penzien, Dynamics of structures, McGraw Hill, N.Y., 1986.
4. I. Grabec and W. Sachse, Synergetics of measurement, prediction, and control, Springer Verlag, Berlin-Heidelberg, 1997.
5. A. K. Mal and S. J. Singh, Deformation of elastic bodies, Prentice Hall, Englewood Cliffs, NJ, 1991.
6. A. Neumaier, Interval Methods for Systems of Equations, Cambridge University Press, Cambridge, 1990.
7. S. M. Rump, "Solving Algebraic Problems with High Accuracy", in: U. Kulisch and W. Miranker, eds., A New Approach to Scientific Computation, Academic Press, N.Y., 1983, pp. 51-120.
8. I. A. Viktorov, Rayleigh and Lamb waves: Physical theory and applications, Plenum Press, N.Y., 1967.
9. C. Wolters, S. A. Billings, S. G. Pierce, K. Worden, and G. R. Tomlinson, "Model-based fault detection using Lamb waves", Proceedings of the International Workshop on Intelligent NDE Sciences for Aging and Futuristic Aircraft, El Paso, TX, September 30-October 2, pp. 229-244, 1997.
10. K. Worden, R. Osegueda, C. Ferregut, S. Nazarian, D. L. George, M. J. George, V. Kreinovich, O. Kosheleva, and S. Cabrera, "Interval Methods in Non-Destructive Testing of Aerospace Structures and in Mammography", International Conference on Interval Methods and their Application in Global Optimization (INTERVAL '98), April 20-3, Nanjing, China, Abstracts, pp. 152-154, 1998.
11. K. Worden, R. Osegueda, C. Ferregut, S. Nazarian, E. Rodriguez, D. L. George, M. J. George, V. Kreinovich, O. Kosheleva, and S. Cabrera, "Interval Approach to Non-Destructive Testing of Aerospace Structures and to Mammography", In: Goetz Alefeld and Raul A. Trejo (eds.), Interval Computations and its Applications to Reasoning Under Uncertainty, Knowledge Representation, and Control Theory. Proceedings of MEXICON'98, Workshop on Interval Computations, 4th World Congress on Expert Systems, México City, México, 1998.