Andrew E. Yagle:Inverse Scattering

INVERSE SCATTERING PAPERS OF ANDREW E. YAGLE

Dept. of EECS, The Univ. of Michigan, Ann Arbor MI 48109-2122

To send mail for more information or to request a reprint: aey@eecs.umich.edu

TABLE OF CONTENTS OF THIS WEB PAGE

Wavelets in inverse scattering
Wavelets in tomography (inverse Radon transform)
2-D inverse scattering
2-D inverse resistivity and 1-D time-varying inverse scattering
1-D inverse scattering: absorbing media
1-D inverse scattering: lossless media
Elastic imaging and other inverse problems

WAVELETS IN INVERSE SCATTERING

A.E. Yagle, "Layer Stripping Reconstruction of 1-D Inhomogeneous Continuous Dispersive Dielectric Media from Noisy Data," submitted to IEEE Trans. Antennas and Propagation, July 1996.
R. Joshi and A.E. Yagle, ``A Levinson-Like Algorithm for Solving Block-Slanted-Toeplitz Systems of Equations Arising in Wavelet-Based Solution of Integral Equations,'' submitted to IEEE Trans. Sig. Proc., May 1996.
R. Joshi and A.E. Yagle, ``A Levinson-Like Algorithm for Solving Block-Slanted-Toeplitz Systems of Equations Arising in Wavelet-Based Solution of Integral Equations,'' 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing, Atlanta, May 7-10, 1996.
B.-J. Kwak and A.E. Yagle, ``Multiresolution Algorithms for Reconstructing 1-D Dielectric Media using Wavelet Transforms,'' PIERS 1995, Seattle, July 24-28, 1995 (INVITED PRESENTATION).
A.E. Yagle, ``Reconstruction of Layered One-Dimensional Dielectric Media using the Wavelet Transform,'' 1994 IEEE AP-S International Symposium, Seattle, June 19-24, 1994 (INVITED PRESENTATION).
A.E. Yagle, ``Multiresolution Algorithms for One-Dimensional Inverse Scattering Problems using the Wavelet Transform,'' SIAM Conference on Linear Algebra in Signals, Systems, and Control, Seattle, August 16-19, 1993.
A.E. Yagle, ``Multiresolution Algorithms for One-Dimensional Inverse Scattering Problems using the Wavelet Transform,'' Technical Report, 1992.

WAVELETS IN TOMOGRAPHY (inverse Radon transform)

B. Sahiner and A.E. Yagle, ``Inversion of the Radon Transform under Wavelet Constraints,'' in {\it Time-Frequency and Wavelet Transforms in Biomedicine}, ed. by M. Akay, Elsevier, North-Holland, Amsterdam, 1996.
B. Sahiner and A.E. Yagle, ``Inversion of the Radon Transform under Wavelet Constraints,'' IEEE EMBS Magazine, Sept. 1996 (INVITED PAPER).
A.E. Yagle, ``Region-of-Interest Tomography using the Wavelet Transform and Angular Harmonics,'' 1995 International Conference on Image Processing, Washington DC, Oct. 23-26, 1995.
B. Sahiner and A.E. Yagle, ``Inversion of the Radon Transform under Wavelet Constraints,'' Workshop on New Advances in Biomedical Signal and Image Processing, IEEE Engineering in Medicine and Biology, Montreal, Sept. 20, 1995 (INVITED PRESENTATION).
B. Sahiner and A.E. Yagle, ``Region-of-Interest Tomography using Exponential Radial Sampling,'' IEEE Trans. Image Proc. 4(8), 1120-1127, August 1995
B. Sahiner and A.E. Yagle, ``Reconstruction from Projections under Time-Frequency Constraints,'' IEEE Trans. Medical Imaging 14(2), 193-204, June 1995.
B. Sahiner and A.E. Yagle, ``Region-of-Interest Reconstruction from Projections using Exponential Radial Sampling,'' 1995 IEEE International Conference on Acoustics, Speech, and Signal Processing, Detroit, May 9-12, 1995.
A.E. Yagle, ``Region-of-Interest Tomography using the Wavelet Transform and Angular Harmonics,'' Signal Processing Letters 1(9), 134-135, Sept. 1994.
B. Sahiner and A.E. Yagle, ``Image Reconstruction from Projections Under Wavelet Constraints,'' IEEE Trans. Sig. Proc. 41(12), 3579-3584, December 1993 (special issue on wavelets).
B. Sahiner and A.E. Yagle, ``Time-Frequency Distribution Inversion of the Radon Transform,'' IEEE Trans. Image Proc. 2(4), 539-543, October 1993.
B. Sahiner and A.E. Yagle, ``Limited Angle Tomography using the Wavelet Transform,'' IEEE 1993 Medical Imaging Conference, San Francisco, Nov. 4-6, 1993, pp. 1912-1916.
B. Sahiner and A.E. Yagle, ``Constrained Image Reconstruction from Projections using the Wavelet Transform,'' SIAM Conference on Linear Algebra in Signals, Systems, and Control, Seattle, August 16-19, 1993.
B. Sahiner and A.E. Yagle, ``On the Use of Wavelets in Inverting the Radon Transform,'' IEEE 1992 Medical Imaging Conference, Orlando, FL, Oct. 25-31, 1992, pp. 1129-31.
B. Sahiner and A.E. Yagle, ``Time-Frequency Distribution Inversion of the Radon Transform,'' IEEE 1991 Medical Imaging Conference, Santa Fe, NM, Nov. 5-9, 1991, pp. 2043-2047.

2-D INVERSE SCATTERING

A.E. Yagle, "Discrete Gel'fand-Levitan and Marchenko Matrix Equations and Layer Stripping Algorithms for the Discrete 2-D Schrodinger Equation Inverse Scattering Problem with a Nonlocal Potential," submitted to Inverse Problems, July 1996.
A.E. Yagle and J. Frolik, ``On the Feasibility of Impulse Reflection Response Data for the Two-Dimensional Inverse Scattering Problem,'' to appear in IEEE Trans. Antennas and Propagation.
J. Frolik and A.E. Yagle, ``A Discrete-Time Formulation for the Variable Wave Speed Scattering Problem in Two Dimensions'' to appear in Inverse Problems.
A.E. Yagle and P. Raadhakrishnan, ``Numerical Performance of Layer Stripping Algorithms for Two-Dimensional Inverse Scattering Problems,'' Inverse Problems 8(4), 645-665, August 1992. A.E. Yagle, ``Analogues of Split Levinson, Schur, and Lattice Algorithms for Three-Dimensional Random Field Estimation Problems,'' SIAM J. Appl. Math. 50(6), 1780-1799, December 1990.
A.E. Yagle, ``Connections between Three-Dimensional Inverse Scattering and Linear Least-Squares Estimation of Random Fields,'' Acta Appl. Mathematicae 13, 267-289, December 1988.
A.E. Yagle, ``Differential and Integral Methods for Three-Dimensional Inverse Scattering Problems with a Non-Local Potential,'' Inverse Problems 4(2), 549-566, May 1988.
A.E. Yagle, ``Differential Methods for Multi-Dimensional Inverse Scattering Problems,'' SIAM 35th Anniversary Meeting, Denver, CO, October 12-15, 1987.
A.E. Yagle, ``Multi-Dimensional Inverse Scattering: An Orthogonalization Formulation,'' J. Math. Phys. 28(7), 1481-1491, July 1987.
A.E. Yagle, ``Differential and Integral Methods for Multidimensional Inverse Scattering Problems,'' J. Math. Phys. 27(10), 2584-2591, October 1986.
A.E. Yagle and B.C. Levy, ``Layer Stripping Solutions of Multi-Dimensional Inverse Scattering Problems,'' J. Math. Phys. 27(6), 1701-1710, June 1986.

2-D INVERSE RESISTIVITY AND 1-D TIME-VARYING INVERSE SCATTERING

A.E. Yagle, ``Discrete Layer Stripping and Feasibility Conditions for 2-D Impedance Tomography in Polar Coordinates,'' submitted to Inverse Problems, July 1996.
A.E. Yagle, ``Inverse Scattering for Time-Varying One-Dimensional Layered Media: Algorithms and Applications," revision submitted to Inverse Problems, July 1996.
A.E. Yagle, ``A Layer Stripping Fast Algorithm for the Two-Dimensional Direct Current Inverse Resistivity Problem,'' IEEE Trans. Geosci. and Remote Sensing GE-25(5), 558-563, September 1987.

1-D INVERSE SCATTERING: ABSORBING MEDIA

A.E. Yagle, "Blind Deconvolution of Sources from the Transmission Responses of 1-D Inhomogeneous Continuous and Discrete Layered Absorbing Media," submitted to Inverse Problems, July 1996.
A.E. Yagle and J. Frolik, ``On the Feasibility of Impulse Reflection Responses of 1-D Absorbing Discrete Layered Media,'' submitted to IEEE Trans. Circuits and Systems, Feb. 1996.
J. Frolik and A.E. Yagle, ``Forward and Inverse Scattering for Discrete Layered Lossy and Absorbing Media,'' to appear in IEEE Trans. Circuits and Systems.
J. Frolik and A.E. Yagle, ``On the Feasibility of Impulse Reflection Responses of 1-D Absorbing Discrete Layered Electromagnetic Media," PIERS 1995, Seattle, July 24-28, 1995.
J. Frolik and A.E. Yagle, ``Reconstruction of Multi-Layered Lossy Dielectrics from Plane Wave Impulse Responses at Two Angles of Incidence,'' IEEE Trans. Geosci. and Rem. Sensing 33(2), 268-279, March 1995.
J. Frolik and A.E. Yagle, ``An Asymmetric Discrete-Time Approach for the Design and Analysis of Periodic Waveguide Structures,'' IEEE J. Lightwave Technology 13(2), 175-185, February 1995.
A.E. Yagle, ``Inversion of the Bloch Transform in Magnetic Resonance Imaging using Asymmetric Two-Component Inverse Scattering,'' Inverse Problems 6(1), 133-151, February 1990.
A.E. Yagle, ``One-Dimensional Inverse Scattering Problems: An Asymmetric Two-Component Wave System Framework,'' Inverse Problems 5(4), 641-666, August 1989.
A.E. Yagle, ``Layer Stripping Approaches to Inverse Scattering for Inhomogeneous Viscoelastic Media,'' J. Acoust. Soc. Am. 84(5), 1913-1923, November 1988.
A.E. Yagle, Layer-Recursive Reconstruction of Lossy Acoustic Media,'' SIAM 35th Anniversary Meeting, Denver, CO, October 12-15, 1987.
A.E. Yagle, ``A Layer Stripping Fast Algorithm for Reconstructing a Lossy Layered Medium,'' J. Acoust. Soc. Am. 82(3), 927-936, September 1987.

1-D INVERSE SCATTERING: LOSSLESS MEDIA

R. Poovendran, J.E. Dorband, and A.E. Yagle, "An Algorithm for Forward and Inverse Scattering in Time Domain," J. Acoust. Soc. Am. 97(4), 2021-2027, April 1995.
A.E. Yagle, ``A Fast Algorithm for the Reconstruction of a Layered Acoustic Medium from its Transmission Response,'' J. Acoust. Soc. Am. 90(3), 1615-1619, September 1991.
A.E. Yagle, ``Discrete Matrix Schrodinger Equation Equivalents of Discrete Two-Component Matrix Wave Systems,'' Inverse Problems 5(3), 425-436, June 1989.
A.E. Yagle, ``A Layer Stripping Fast Algorithm for Reconstructing an Elastic Medium from its Compressional Wave Reflection Response,'' IEEE J. Ocean Eng. OE-12(2), 423-432, April 1987.
A.E. Yagle and B.C. Levy, ``A Fast Algorithm Solution of the Inverse Problem for a Layered Acoustic Medium Probed by Spherical Harmonic Waves,'' J. Acoust. Soc. Am. 78(2), 729-737, August 1985.
A.E. Yagle and B.C. Levy, ``The Schur Algorithm and its Applications,'' Acta Applicandae Mathematicae 3(3), 255-284, May 1985.
A.E. Yagle and B.C. Levy, ``A Layer Stripping Solution of the Inverse Problem for a One-Dimensional Elastic Medium,'' Geophysics 50(3), 425-433, March 1985.
A.E. Yagle and B.C. Levy, ``Application of the Schur Algorithm to the Inverse Problem for a Layered Acoustic Medium,'' J. Acoust. Soc. Am. 76(1), 301-308, July 1984.

ELASTIC IMAGING AND OTHER INVERSE PROBLEMS

M.A. Lubinski, S.Y Emelianov, K.R. Raghavan, A.E. Yagle, A.R. Skovoroda, and M. O'Donnell, "Lateral Displacement Estimation Using Tissue Incompressibility," IEEE Trans. Ultrasonics, Ferroelectrics, and Frequency Control 43(2), 247-256, March 1996.
K.R. Raghavan and A.E. Yagle, ``Forward and Inverse Problems in Elasticity Imaging of Soft Tissues,'' IEEE Trans. Nuclear Science 41(4), 1639-1648, August 1994.
A.E. Yagle, ``Inversion of Spherical Means Using Geometric Inversion and Radon Transforms,'' Inverse Problems 8(6), 949-964, December 1992.