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.

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

Workshop Schedule

Monday, July 13, 2015
TimeEventLocationMaterials
8:30 - 8:55Registration11th Floor Collabortative Space 
8:55 - 9:00Welcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:45TBA - Margaret Cheney, Colorado State University11th Floor Lecture Hall 
10:00 - 10:45Virtual Hybrid Edge Detection - Allan Greenleaf, University of Rochester11th Floor Lecture Hall
10:45 - 11:15Coffee/Tea Break11th Floor Collaborative Space 
11:15 - 12:00Common Offset Versus Common Midpoint Seismic Imaging - Cliff Nolan, University of Limerick11th Floor Lecture Hall
12:15 - 1:45Break for Lunch   
1:45 - 2:45Creative Time 11th Floor Lecture Hall 
2:45 - 3:15Monostatic SAR with in ection points - Raluca Felea, Rochester Institute of Technology11th Floor Lecture Hall
3:15 - 3:45Coffee/Tea Break11th Floor Collaborative Space 
3:45 - 4:15Spherical means, Radon Transforms and Carleman estimates - Rakesh, University of Delaware11th Floor Lecture Hall
4:30 - 6:00Welcome Reception11th Floor Collaborative Space 
Tuesday, July 14, 2015
TimeEventLocationMaterials
9:00 - 9:45Multi-parameter full waveform inversion of borehole seismic data - Olga Podgornova, Schlumberger 11th Floor Lecture Hall
10:00 - 10:45Full waveform inversion and imaging in model reduction framework in seismic exploration - Mikhail Zaslavsky, Schlumberger Cambridge Research11th Floor Lecture Hall
10:45 - 11:15Coffee/Tea Break11th Floor Collaborative Space 
11:15 - 12:00Reconstruction algorithms in time domain sonic imaging - Frank Natterer, Westfälische Wilhelms-Universität Münster11th Floor Lecture Hall
12:15 - 2:00Break for Lunch   
2:00 - 2:30Vector tomography in cone beam and inhomogeneous geometries - Thomas Schuster, Universität des Saarlandes11th Floor Lecture Hall
2:45 - 3:15Model order reduction for the numerical solution of diffusive inverse problems. - Alexander Mamonov, University of Houston11th Floor Lecture Hall
3:30 - 5:002-min.poster presentations then poster session11th Floor Lecture Hall 
Wednesday, July 15, 2015
TimeEventLocationMaterials
9:00 - 9:45Introduction to Problems in Electrical Impedance Tomography - David Isaacson, RPI11th Floor Lecture Hall
10:00 - 10:45Direct Reconstruction Algorithms for Real-Time Patient Imaging with Electrical Impedance Tomography - Jennifer Mueller, Colorado State University11th Floor Lecture Hall
10:45 - 11:15Coffee/Tea Break11th Floor Collaborative Space 
11:15 - 12:00Monotonicity-based methods for elliptic inverse coefficient problems - Bastian von Harrach, Universität Stuttgart11th Floor Lecture Hall
12:15 - 12:25Group Photo11th Floor Lecture Hall 
12:25 - 2:00Break for Lunch   
2:00 - 3:00Creative time  
3:00 - 3:30The Perturbation of Transmission Eigenvalues for Inhomogeneous Media in the Presence of Small Penetrable Inclusions - Shari Moscow, Drexel University11th Floor Lecture Hall
3:30 - 3:50Coffee/Tea Break11th Floor Collaborative Space 
3:50 - 4:20ON UNIQUENESS OF AN INVERSE PROBLEM FOR THE TIME-HARMONIC MAXWELL EQUATIONS - Ting Zhou, Massachusetts Institute of Technology11th Floor Lecture Hall
4:30 - 5:00TBA - TBA11th Floor Lecture Hall 
Thursday, July 16, 2015
TimeEventLocationMaterials
9:00 - 9:45Accelerated statistical image reconstruction for X-ray CT - Jeff Fessler, University of Michigan11th Floor Lecture Hall
10:00 - 10:45Stability 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 - 11:15Coffee/Tea Break11th Floor Collaborative Space 
11:15 - 12:00How to make tomography practical- several FEI use cases - Remco Schoenmakers, FEI Netherlands 11th Floor Lecture Hall
12:15 - 2:00Break for Lunch   
2:00 - 2:30Maximizing recovery of information from noisy cryo-EM images - Oleg Kuybeda, National Institutes of Health (NIH)11th Floor Lecture Hall
2:30 - 2:50Creative Time - Dr. Kuybeda talks about NIH imaging problems11th Floor Lecture Hall 
3:00 - 3:20Creative time - Dr. Schoenmaker's discussion of FEI problems 11th Floor Lecture Hall 
3:30 - 3:50Coffee/Tea Break11th Floor Collaborative Space 
3:50 - 4:20Object motion in tomographic imaging - Bernadette Hahn, Universität des Saarlandes11th Floor Lecture Hall
4:30 - 5:00Tomography for Image Improvement of Large Astronomical Telescopes - Ronny Ramlau, Johannes Kepler Universität Linz11th Floor Lecture Hall
Friday, July 17, 2015
TimeEventLocationMaterials
9:00 - 9:45Edge detection for solving hybrid inverse problems - Otmar Scherzer, Johann Radon Institute for Computational and Applied Mathematics 11th Floor Lecture Hall
10:00 - 10:45Inversion 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 - 11:15Coffee/Tea Break11th Floor Collaborative Space 
11:15 - 12:00Thermoacoustics and the Spherical Radon Transform - Sarah Patch, University of Wisconsin11th Floor Lecture Hall
12:15 - 2:00Break for Lunch   
2:00 - 2:30Reconstructing a function from its conical radon transform. - Rim Gouia, American University of Sharjah11th Floor Lecture Hall
2:30 - 3:00Coffee/Tea Break11th Floor Collaborative Space 
3:00 - 3:30A new time reversal technique for photo-acoustic tomography in a cavity - Linh Nguyen, University of Idaho11th Floor Lecture Hall
3:45 - 4:15Recap11th Floor Lecture Hall 

Lecture Videos