Research articles

  1. On s-injective and injective ray transforms of tensor fields on surfaces, with Rohit Kumar Mishra and François Monard, To appear in Journal of Inverse and Ill-Posed Problems.
  2. Momentum ray transforms, with Suman Kumar Sahoo, Ramesh Manna and Vladimir Sharafutdinov, Accepted for publication in Inverse Problems and Imaging.
  3. An inverse problem for the relativistic Schrödinger equation with partial boundary data, with Manmohan Vashisth, Accepted for publication in Applicable Analysis.
  4. Microlocal analysis of a restricted ray transform on symmetric m-tensor fields in R^n, with Rohit Kumar Mishra, Accepted for publication in SIAM Journal of Math. Analysis.
  5. Inverse diffusivity problem via homogenization theory, with Tuhin Ghosh and M. Vanninathan.
  6. A fully non-linear optimization approach to acousto-electric tomography, with Bolaji Adesokan, Kim Knudsen and Souvik Roy,  Inverse Problems 34 (2018), no. 10, 104004, 16 pp.
  7. Image reconstruction from radially incomplete spherical Radon data, with Gaik Ambartsoumian, Souvik Roy and Rim Gouia-Zarrad European J. Appl. Math. 29 (2018), no. 3, 470–493.
  8. Singular FIOs in SAR imaging, II: Transmitter and receiver at different speeds, with Gaik Ambartsoumian, Raluca Felea, Cliff Nolan and Eric Todd Quinto SIAM J. Math. Anal. 50 (2018), no. 1, 591–621.
  9. Numerical inversion of arc Radon transform, with Syed Tabish Abbas and Jayanthi Sivaswamy, IEEE Trans. Comput. Imaging 2 (2016), no. 4, 540–549.
  10. Determination of Lower Order Perturbations of the Polyharmonic Operator from Partial Boundary Data, with Tuhin Ghosh, Appl. Anal. 95 (2016), no. 11, 2444–2463.
  11. Common midpoint versus common offset acquisition geometry in seismic imaging, with Raluca Felea, Cliff Nolan and Eric Todd Quinto, Inverse Probl. Imaging 10 (2016), no. 1, 87–102.
  12. Stability estimates for an inverse boundary value problem for the biharmonic operator with bounded potentials, with Anupam Pal Choudhury, Journal of Mathematical Analysis and Applications, 431 (2015), no.1, 300-316.
  13. An efficient numerical algorithm for the inversion of an integral transform arising in ultrasound imaging, with Souvik Roy, Praveen Chandrasekhar and A. S. Vasudeva Murthy, Journal of Mathematical Imaging and Vision, 53 (2015), no.1, 78-91.
  14. Inversion of a class of circular and elliptical Radon transforms, with Gaik Ambartsoumian,
    Complex analysis and dynamical systems VI. Part 1, 1–12, Contemp. Math., 653, Israel Math. Conf. Proc., Amer. Math. Soc., Providence, RI, 2015.
  15. Microlocal analysis of an ultrasound transform with circular source and receiver trajectories, with Gaik Ambartsoumian, Jan Boman and Eric Todd Quinto. Geometric analysis and integral geometry, 45–58, Contemp. Math., 598, Amer. Math. Soc., Providence, RI, 2013.
  16. A class of singular Fourier integral operators in synthetic aperture radar imaging, with Gaik Ambartsoumian, Raluca Felea, Cliff Nolan and Eric Todd Quinto. J. Funct. Anal. 264 (2013), no. 1, 246–269.
  17. Microlocal analysis of elliptical Radon transforms with foci on a line, with Howard Levinson and Eric Todd Quinto, In "The Mathematical Legacy of Leon Ehrenpreis," Springer 2012.
  18. Microlocal aspects of common offset synthetic aperture radar imaging, with Eric Todd Quinto. Inverse Probl. Imaging 5 (2011), no. 3, 659-674.
  19. Synthetic aperture radar imaging exploiting multiple scattering, with Birsen Yazici. Inverse Problems 27 (2011), no. 5, 055004, 25 pp.
  20. On the inversion formulas of Pestov and Uhlmann for the geodesic ray transform. J. Inverse Ill-Posed Probl. 18 (2010), no. 4, 401–408.
  21. Multistatic synthetic aperture radar image formation, with John Swoboda, Can Evren Yarman and Birsen Yazici. IEEE Trans. Image Process. 19 (2010), no. 5, 1290–1306.
  22. A support theorem for the geodesic ray transform of symmetric tensor fields, with Plamen Stefanov. Inverse Probl. Imaging 3 (2009), no. 3, 453–464.
  23. A support theorem for the geodesic ray transform on functions. J. Fourier Anal. Appl. 15 (2009), no. 4, 515–520.

Book Chapters

  1. Microlocal analysis of some synthetic aperture radar imaging problems. Mathematical models, methods and applications, 55–75, Ind. Appl. Math., Springer, Singapore, 2015.
  2. Microlocal analysis in tomography, with Eric Todd Quinto, In Handbook of Mathematical Methods in Imaging, 2e.
  3. Microlocal analysis and imaging, with Gaik Ambartsoumian, Raluca Felea, Cliff Nolan and Eric Todd Quinto, In SIAM Mathematics of Planet Earth 2013 publication.

   Last updated: December 10, 2018