Organizing Committee
Abstract

The mathematical study of image reconstruction problems can have a huge impact on human life. More efficient mathematical algorithms for X-ray tomography and more accurate mathematical models in seismic or hybrid imaging can lead to better imaging devices in fields such as medicine and remote sensing. Developing the underlying mathematics, including the analysis of reconstruction stability, regularization, singularity characterization, and efficient algorithms, may lead to fewer false positives in fields such as medical, seismic and radar imaging.

This topical workshop will bring together international experts working in computational and analytical aspects of image reconstruction (including but not limited to electron-microscope tomography, hybrid imaging, radar and sonar, full waveform inversion of seismic imaging and X-ray CT) as well as postdoctoral fellows and graduate students. There will be multiple introductory-level talks for early-career researchers and non-specialists in the area on both the mathematics involved and the scientific and industrial applications. Speakers and participants from industry will be included to strengthen the practical aspects of the workshop.

Image for "Computational and Analytical Aspects of Image Reconstruction"

Output of iterations of a Mumford-Shah level set-based method for simultaneous reconstruction and segmentation of a torso phantom from noisy CT data. Images courtesy of Esther Klann relating to work in E. Klann, R. Ramlau, and W. Ring, Inverse Problems and Imaging, Vol. 5 (2011), 137-166.

Confirmed Speakers & Participants

Talks will be presented virtually or in-person as indicated in the schedule below.

  • Speaker
  • Poster Presenter
  • Attendee
  • Virtual Attendee

Workshop Schedule

Monday, July 13, 2015
TimeEventLocationMaterials
8:30 - 8:55am EDTRegistration11th Floor Collabortative Space 
8:55 - 9:00am EDTWelcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:45am EDTTBA - Margaret Cheney, Colorado State University11th Floor Lecture Hall 
10:00 - 10:45am EDTVirtual Hybrid Edge Detection - Allan Greenleaf, University of Rochester11th Floor Lecture Hall
10:45 - 11:15am EDTCoffee/Tea Break11th Floor Collaborative Space 
11:15 - 12:00pm EDTCommon Offset Versus Common Midpoint Seismic Imaging - Cliff Nolan, University of Limerick11th Floor Lecture Hall
12:15 - 1:45pm EDTBreak for Lunch   
1:45 - 2:45pm EDTCreative Time 11th Floor Lecture Hall 
2:45 - 3:15pm EDTMonostatic SAR with in ection points - Raluca Felea, Rochester Institute of Technology11th Floor Lecture Hall
3:15 - 3:45pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:45 - 4:15pm EDTSpherical means, Radon Transforms and Carleman estimates - Rakesh, University of Delaware11th Floor Lecture Hall
4:30 - 6:00pm EDTWelcome Reception11th Floor Collaborative Space 
Tuesday, July 14, 2015
TimeEventLocationMaterials
9:00 - 9:45am EDTMulti-parameter full waveform inversion of borehole seismic data - Olga Podgornova, Schlumberger 11th Floor Lecture Hall
10:00 - 10:45am EDTFull waveform inversion and imaging in model reduction framework in seismic exploration - Mikhail Zaslavsky, Schlumberger Cambridge Research11th Floor Lecture Hall
10:45 - 11:15am EDTCoffee/Tea Break11th Floor Collaborative Space 
11:15 - 12:00pm EDTReconstruction algorithms in time domain sonic imaging - Frank Natterer, Westfälische Wilhelms-Universität Münster11th Floor Lecture Hall
12:15 - 2:00pm EDTBreak for Lunch   
2:00 - 2:30pm EDTVector tomography in cone beam and inhomogeneous geometries - Thomas Schuster, Universität des Saarlandes11th Floor Lecture Hall
2:45 - 3:15pm EDTModel order reduction for the numerical solution of diffusive inverse problems. - Alexander Mamonov, University of Houston11th Floor Lecture Hall
3:30 - 5:00pm EDT2-min.poster presentations then poster session11th Floor Lecture Hall 
Wednesday, July 15, 2015
TimeEventLocationMaterials
9:00 - 9:45am EDTIntroduction to Problems in Electrical Impedance Tomography - David Isaacson, RPI11th Floor Lecture Hall
10:00 - 10:45am EDTDirect Reconstruction Algorithms for Real-Time Patient Imaging with Electrical Impedance Tomography - Jennifer Mueller, Colorado State University11th Floor Lecture Hall
10:45 - 11:15am EDTCoffee/Tea Break11th Floor Collaborative Space 
11:15 - 12:00pm EDTMonotonicity-based methods for elliptic inverse coefficient problems - Bastian von Harrach, Universität Stuttgart11th Floor Lecture Hall
12:15 - 12:25pm EDTGroup Photo11th Floor Lecture Hall 
12:25 - 2:00pm EDTBreak for Lunch   
2:00 - 3:00pm EDTCreative time  
3:00 - 3:30pm EDTThe Perturbation of Transmission Eigenvalues for Inhomogeneous Media in the Presence of Small Penetrable Inclusions - Shari Moscow, Drexel University11th Floor Lecture Hall
3:30 - 3:50pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:50 - 4:20pm EDTON UNIQUENESS OF AN INVERSE PROBLEM FOR THE TIME-HARMONIC MAXWELL EQUATIONS - Ting Zhou, Massachusetts Institute of Technology11th Floor Lecture Hall
4:30 - 5:00pm EDTTBA - TBA11th Floor Lecture Hall 
Thursday, July 16, 2015
TimeEventLocationMaterials
9:00 - 9:45am EDTAccelerated statistical image reconstruction for X-ray CT - Jeff Fessler, University of Michigan11th Floor Lecture Hall
10:00 - 10:45am EDTStability of the interior problem of tomography and the spectral properties of the Finite Hilbert transform. - Alexander Katsevich, University of Central Florida11th Floor Lecture Hall
10:45 - 11:15am EDTCoffee/Tea Break11th Floor Collaborative Space 
11:15 - 12:00pm EDTHow to make tomography practical- several FEI use cases - Remco Schoenmakers, FEI Netherlands 11th Floor Lecture Hall
12:15 - 2:00pm EDTBreak for Lunch   
2:00 - 2:30pm EDTMaximizing recovery of information from noisy cryo-EM images - Oleg Kuybeda, National Institutes of Health (NIH)11th Floor Lecture Hall
2:30 - 2:50pm EDTCreative Time - Dr. Kuybeda talks about NIH imaging problems11th Floor Lecture Hall 
3:00 - 3:20pm EDTCreative time - Dr. Schoenmaker's discussion of FEI problems 11th Floor Lecture Hall 
3:30 - 3:50pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:50 - 4:20pm EDTObject motion in tomographic imaging - Bernadette Hahn, Universität des Saarlandes11th Floor Lecture Hall
4:30 - 5:00pm EDTTomography for Image Improvement of Large Astronomical Telescopes - Ronny Ramlau, Johannes Kepler Universität Linz11th Floor Lecture Hall
Friday, July 17, 2015
TimeEventLocationMaterials
9:00 - 9:45am EDTEdge detection for solving hybrid inverse problems - Otmar Scherzer, Johann Radon Institute for Computational and Applied Mathematics 11th Floor Lecture Hall
10:00 - 10:45am EDTInversion of the spherical means transform with centers lying on corner-like surfaces by reduction to the classical Radon transform - Leonid Kunyansky, University of Arizona11th Floor Lecture Hall
10:45 - 11:15am EDTCoffee/Tea Break11th Floor Collaborative Space 
11:15 - 12:00pm EDTThermoacoustics and the Spherical Radon Transform - Sarah Patch, University of Wisconsin11th Floor Lecture Hall
12:15 - 2:00pm EDTBreak for Lunch   
2:00 - 2:30pm EDTReconstructing a function from its conical radon transform. - Rim Gouia, American University of Sharjah11th Floor Lecture Hall
2:30 - 3:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:00 - 3:30pm EDTA new time reversal technique for photo-acoustic tomography in a cavity - Linh Nguyen, University of Idaho11th Floor Lecture Hall
3:45 - 4:15pm EDTRecap11th Floor Lecture Hall 

Lecture Videos

Thermoacoustics and the Spherical Radon Transform

Sarah Patch
University of Wisconsin - Millwaukee
July 17, 2015
Computational and Analytical Aspects of Image Reconstruction
Play     Abstract

Stability of the interior problem of tomography and the spectral properties of the Finite Hilbert transform.

Alexander Katsevich
University of Central Florida
July 16, 2015
Computational and Analytical Aspects of Image Reconstruction
Play     Abstract

Accelerated statistical image reconstruction for X-ray CT

Jeffrey Fessler
University of Michigan
July 16, 2015
Computational and Analytical Aspects of Image Reconstruction
Play     Abstract

On Uniqueness of an Inverse Problem for the Time-Harmonic Maxwell Equations

Ting Zhou
MIT
July 15, 2015
Computational and Analytical Aspects of Image Reconstruction
Play     Abstract

Monotonicity-based methods for elliptic inverse coefficient problems

Bastian von Harrach
University of Stuttgart
July 15, 2015
Computational and Analytical Aspects of Image Reconstruction
Play     Abstract

Model order reduction for the numerical solution of diffusive inverse problems.

Alexander Vasilyevich Mamonov
Schlumberger
July 14, 2015
Computational and Analytical Aspects of Image Reconstruction
Play     Abstract

Vector tomography in cone beam and inhomogeneous geometries

Thomas Schuster
Universitat des Saarlandes
July 14, 2015
Computational and Analytical Aspects of Image Reconstruction
Play     Abstract

Reconstruction algorithms in time domain sonic imaging

Frank Natterer
University of Münster, Germany
July 14, 2015
Computational and Analytical Aspects of Image Reconstruction
Play     Abstract

Full waveform inversion and imaging in model reduction framework in seismic exploration

Mikhail Zaslavsky
Schlumberger
July 14, 2015
Computational and Analytical Aspects of Image Reconstruction
Play     Abstract

Multi-parameter full waveform inversion of borehole seismic data

Olga Podgornova
Schlumberger-Doll Research Center
July 14, 2015
Computational and Analytical Aspects of Image Reconstruction
Play     Abstract

Common Offset Versus Common Midpoint Seismic Imaging

Cliff Nolan
University of Limerick
July 13, 2015
Computational and Analytical Aspects of Image Reconstruction
Play     Abstract

Virtual Hybrid Edge Detection

Allan Greenleaf
University of Rochester
July 13, 2015
Computational and Analytical Aspects of Image Reconstruction
Play     Abstract