   |
- Home »
- Research Groups »
- Center Participants »
- About IPRPI »
- Conferences »
- Upcoming
- Workshop Archive
- Diffuse Optical Imaging, October 2011
- Biomechanical Imaging, April 2011
- Microlocal Analysis, August 2010
- Seismic Waveform Tomography, April 2010
- Geosystems Workshop, March 2010
- Geosystems Workshop, March 2008
- Radar Imaging, May 2005
- Solid Mechanics Workshop, March 2004
- Geophysics Workshop, January 2004
- Opening Conference, April 2004
- Inverse Problems Seminars »
- Downloads »
- Site Map »
|
Center Participants
Joyce McLaughlin Education: Career Highlights: In addition she has served on the Boards of Trustees for the following two organizations: the Institute for Pure and Applied Mathematics (IPAM) at the University of California, Los Angeles from 2002-'05; the Mathematical Sciences Research Institute (MSRI), located at the University of California, Berkeley, from 2003-'06. From 1994-'03 she was a member of the Society for Industrial and Applied Mathematics (SIAM) Board of Trustees where she was Chair from 1996-'98; and from 2003-2007 she was a member of the National Research Council (NRC) Board of Mathematical Sciences and its Application. In addition to being an active contributor to her research area, McLaughlin also served as an organizer for special institute semesters on inverse problems at MSRI in 2001, the Statistical and Applied Mathematical Sciences Institute (SAMSI) in 2002, and IPAM in 2003. She also participated in the special institute semesters as a lecturer and long-term participant at MSRI and IPAM and again at MSRI in 2011. Furthermore, McLaughlin has been a visiting professor at Cornell University, Australian National University, UC Berkeley, and New York University's Courant Institute of Mathematical Sciences. Since 1998, McLaughlin has been serving on the international advisory board for the journal Inverse Problems. Previously, she was a member of the journal's editorial board from 1992-'97. She is a survey editor, beginning January, 2004, for the European Journal of Applied Mathematics. Her community service includes spending nine years on the Averill Park Central School District Board of Education. Research Areas: A significant breakthrough was established with Dan Renzi and Jeong-Rock Yoon with the development of the arrival time algorithm. This algorithm uses the arrival time of a propagating wave front or the arrival time of a distinguishing feature of the wave as it propagates forward. Initial results with both synthetic and laboratory data are very promising. Newer algorithms with Kui Lin, Ning Zhang and Ashley Thomas are provably stable and image viscoelastic properties of tissue, over a range of frequencies, from time harmonic displacement data. McLaughlin's team also investigates inverse problems and wave propagation algorithms in waveguides. In this work, her group develops exact one-way algorithms for calculating the solution of the Helmholtz equation in a range and depth dependent ocean. For inverse problems, the researchers are using their knowledge of waveguides to develop efficient methods for identification of objects and inhomogeneities in waveguides, as well as for time reversal problems where interfaces are identified. McLaughlin's geophysics project is the application of time reversal techniques to the identification of fault locations. There recorded seismic data from many minor earthquakes are collectively combined, time reversed and used, together with a rough wave speed background map, to sharpen estimates of fault locations. Furthermore, she studies inverse spectral problems, where the data includes natural frequencies and eigenmode measurements. The inverse problem solution is material parameters such as density, sound speed, or elasticity coefficients. Mathematical models are second or fourth order partial and ordinary differential equations. Well-posedness results are obtained and algorithms are developed and tested. Solution techniques are aimed at maintaining the full nonlinearity of the inverse problem without employing linearization methods. Specific eigenmode measurements that surprisingly yield explicit formulas are the nodal sets of eigenfunctions. Selected Publications: 2012 Klein, J., McLaughlin, J. and Renzi, D. “Improving Arrival Time Identification in Transient Elastography”, Physics in Medicine and Biology. 57(8), 21 Apr 2012, Pages 2151-2168. (text of paper) McLaughlin, J.R., Oberai, A. and Yoon, J-R., "Formulas for detecting a spherical stiff inclusion from interior data: A sensitivity analysis for the Helmholtz equation," Inverse Problems, 28 (2012) 084004. (text of paper) 2011 J. Mclaughlin, J-R Yoon. "Arrival times for the wave equation”, Communications on Pure and Applied Mathematics (CPAM), Vol. (64) no. 3, March 2011, pp. 313-327. (text of paper) Lin, K., Mclaughlin, J., Thomas, A., Parker, K., Castaneda, B., and Rubens, D. "Two-dimensional shear wave speed and crawling wave speed recoveries from in vitro prostate data". Journal of Acoustical Society of America130(1):585-98., July 2011 (text of paper) Mclaughlin, J., Thomas, A., and Yoon, J.R."Basic Theory for Generalized Linear Solid Viscoelastic Models". AMS Contemporary Mathematics Volume: Tomography and Inverse Transport Theory, editors: G. Bal, D. Finch, P. Kuchment, J. Schotland, P. Stefanov, and G. Uhlmann. 2011, pp. 101-134. (text of paper) S. Ahmed, S. Bak, J. McLaughlin, and D. Renzi. “A Third Order Accurate Fast Marching Method for the Eikonal Equation in Two Dimensions,” SIAM J. Scientific Computing 33(5): 2402-2420 (2011). (text of paper) 2010 S. Bak, J. McLaughlin, and D. Renzi. "Some Improvements for the Fast Sweeping Method," SIAM Journal on Scientific Computation (SISC) (32), 2010, pp. 2853-2874.(text of paper) K. Lin, J. McLaughlin, D. Renzi. Thomas, A. “Shear wave speed recovery in sonoelastography using crawling wave data,” Journal of the Acoustical Society, July 2010, 128(1):88-97. (text of paper) J. McLaughlin, N. Zhang, and A. Manducca. "Calculating shear modulus and pressure by 2D log-elastographic methods", Inverse Problems, Vol. 26, no.8, August 2010, pp. 25. (text of paper) S. Roecker, J. McLaughlin, B. Baker. "A Finite-Difference Algorithm for Full Waveform Teleseismic Tomography". International Journal of Geophysics, 2010, 181, 1017–1040. (text of paper) 2009 J. McLaughlin and K. Lin. "An error estimate on the direct inversion model in shear stiffness imaging", Inverse Problems, Vol 25(7), July, 2009. (text of paper) J. McLaughlin, K. Lin, N. Zhang."Log-elastographic and non-marching full inversion schemes for shear modulus recovery from single frequency elastographic data", Inverse Problems, Vol 25(7), July, 2009. (text of paper) 2007 J. McLaughlin, D. Renzi, K. Parker, C. Wu. "Shear Wave Speed recovery using moving interference patterns obtained in sonoelastography experiments", JASA, Vol. 121 (4), 2007, pp.2438-4226.(text of paper) J. McLaughlin, Daniel Renzi, Jeong-Rock Yoon. "Anisotropy reconstruction from wave fronts in transversely isotropic acoustic media" SIAM J. Appl. Math Vol. 68, Issue 1, 2007, pp. 24-42. (text of paper) 2006 J. McLaughlin (with Daniel Renzi, Jeong-Rock Yoon, R. L. Ehman, A. Manducca), "Variance Controlled Shear Stiffness Images for MRE Data", IEEE International Symposium on Biomedical Imaging: Macro to Nano, 2006, pp. 960-963. (text of paper) Joyce McLaughlin (with S. Dediu), "Recovering inhomogeneities in a waveguide using eigensystem decomposition", Inverse Problems, vol.22, June, 2006, pp.1227-1246. (text of paper) J. McLaughlin (with D.Renzi) "Shear Wave Speed Recovery in Transient Elastography and Supersonic Imaging Using Propagating Fronts", Inverse Problems, 22 , pp. 681-706, (2006). (text of paper of paper with figures). J. McLaughlin (with D.Renzi) "Using Level Set Based Inversion of Arrival Times To Recover Shear Wavespeed In Transient Elastography And Supersonic Imaging " Inverse Problems, 22 , pp. 707-725, (2006) (text of paper with figures). 2004 J. McLaughlin and J.-R. Yoon, "Unique Identifiability of Elastic Parameters from Time Dependent Interior Displacement Measurement," Inverse Problems, 20, (1) 25-45, (2004). (text of paper with figures)L. Ji and J. McLaughlin, "Recovery of the Lamé Parameter µ in Biological Tissues," Inverse Problems, 20, (1), 1-24, (2004). (text of paper with figures) 2003 L. Ji and J. McLaughlin, "Using a Hankel Function Expansion to Identify Stiffness for the Boundary Impulse Input Experiment," AMS Contemporary Mathematics (CONM) Book Series: Proceedings of the Conference on Inverse Problems and Applications, eds. G. Allessandrini and G. Uhlman, Pisa, Italy; (2003). (text of paper with figures) L. Ji, J. McLaughlin, D. Renzi, and J.-R. Yoon, "Interior Elastodynamics Inverse Problems: Shear Wave Speed Reconstruction in Transient Elastography," Inverse Problems, Special Issue on Imaging, 19, (6), S1-S29, (2003). (text of paper with figures) 2001 B. Geist and J. McLaughlin, "Asymptotic Formulas for the Eigenvalues of the Timoshenko Beam," Journal of Mathematical Analysis and Applications, 253, 341-380, (2001). (text of paper) 2000 and Prior (selected publications) J. McLaughlin, "Solving Inverse Problems with Spectral Data," Surveys on Solution Methods for Inverse Problems, eds. D. Colton, H. Engl, A. Louis, J. McLaughlin, and W. Rundell, Springer, New York, 169-194, (2000). (text of paper with figures) O.H. Hald and J. McLaughlin, "Inverse Problems: Recovery of BV Coefficients from Nodes," Inverse Problems, 14, (2), 245-273, (1998). (text of paper without figures) S. Wang and J. McLaughlin, "Recovery of a Vertically Stratified Seabed in Shallow Water," in Mathematical and Numerical Aspects of Wave Propagation, ed. J.A. DeSanto, SIAM, Philadelphia, 232-236, (1998). (text of paper with figures) O.H. Hald and J. McLaughlin, Inverse Nodal Problems: Finding the Potential from Nodal Lines, American Mathematical Society (AMS) Memoir, 119, (572), (1996). (introduction)
Contact Information: Joyce McLaughlin --
|
