Analytic and geometric methods in medical imaging

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Workshop theme

The introduction of X-ray Computed Tomography (CT) in 1972 revolutionized Medical Imaging, replacing classical qualitative imaging by a quantitative format. Mathematics has since played a crucial role in several aspects of this vast discipline. While inversion of the Radon Transform was the basic starting point for CT, various other current and emerging imaging modalities (such as MRI, PET, Ultrasound, Elastography, Impedance Imaging, Photoacoustic Imaging, Thermography) each require the solution of different mathematical Inverse Problems to produce images from the corresponding physical measurements. Once images have been obtained, their immensely important current and future clinical use gives rise to a number of Image Analysis problems: segmentation, noise removal, deblurring, registration. Furthermore, in an exciting emerging area, determination of tissue parameters by medical imaging methods is used in Patient Specific Modeling of biological processes, promising to reach a whole new level of diagnostic and therapeutic planning techniques.

All three areas of Medical Imaging identified above (Inverse Problems, Image Analysis and Patient Specific Modeling) have seen significant mathematical developments, involving deep new analytic and geometric tools.

The aim of the workshop on "Analytic and Geometric Methods in Medical Imaging" is to establish connections between recent analytic and geometric work in Inverse Problems and analytic and geometric methods being developed by researchers in Image Processing and Patient Specific Modeling.

Timetable

Monday 22nd August 2011
09:00 to 09:45	Registration	No Room Required
09:45 to 10:30	Computational Conformal / Quasi-conformal Geometry and Its Applications	Room 1
10:30 to 11:00	Coffee / Tea	No Room Required
11:00 to 11:45	Kari Astala University of Helsinki Calderon's inverse problem in 2D Electrical Impedance Tomography	Room 1
11:45 to 12:30	Gunther Uhlmann University of Washington Travel Time Tomography and Tensor Tomography	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:45	Rongjie Lai University of Southern California Laplace-Beltrami Eigen-Geometry and Applications to 3D Medical Imaging	Room 1
14:45 to 15:30	Nikos Paragios École Centrale de Paris Graphical Models and Discrete Optimization in Biomedical Imaging: Theory and Applications	Room 1
15:30 to 16:00	Coffee / Tea	No Room Required
16:00 to 16:30	Adina Ciomaga CNRS - Ecole Normale Superieure Paris Image Visualization and Restoration by Curvature Motions	Room 1
16:30 to 17:00	Ender Konukoglu Microsoft (UK) Efficient Probabilistic Model Personalization Integrating Uncertainty on Data and Parameters: Application to Eikonal-Diffusion Models in Cardiac Electrophysiolo	Room 1
17:00 to 17:30	Prashant Athavale University of California, Los Angeles Variational Methods in images processing, integro-differential equations and applications to histology and MR imaging	Room 1
17:30 to 18:30	Welcome Drinks Reception	No Room Required
18:45 to 19:30	Dinner at Wolfson Court	No Room Required

Tuesday 23rd August 2011
09:00 to 09:45	Carola Schönlieb University of Cambridge Alternating total variation minimisation for PET reconstruction	Room 1
09:45 to 10:30	Otmar Scherzer Technische Universität Wien Photoacoustic Imaging with Focused Illumination	Room 1
10:30 to 11:00	Coffee / Tea	No Room Required
11:00 to 11:45	Hongkai Zhao University of California, Irvine Robust principle component analysis based four-dimensional computed tomography	Room 1
11:45 to 12:30	Adaptive and stochastic algorithms for piecewise constant EIT and DC resistivity problems with many measurements	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:05 to 14:55	Lihong Wang Washington University in St. Louis Photoacoustic Tomography: Ultrasonically Breaking through the Optical Diffusion Limit	Room 1
15:00 to 15:30	Fast Conformal Mapping for Prone / Supine Registration in CT Colonography	Room 1
15:30 to 16:00	Imaging biomarkers in Alzheimer's Disease: the technical and regulatory challenges of global deployment	Room 1
16:00 to 16:30	Coffee / Tea	No Room Required
16:30 to 17:00	Cancer Imaging: State-of-the-art and unmet challenges	Room 1
17:00 to 18:00	Medical Imaging Day Discussion	Room 1
18:00 to 19:00	Drinks Reception	No Room Required
19:00 to 19:30	Dinner at Wolfson Court	No Room Required

Wednesday 24th August 2011
09:00 to 09:45	Inverse Problems in Optical Tomography	Room 1
09:45 to 10:30	Guillaume Bal Columbia University Multi-physics Inverse Problems and Internal Functionals	Room 1
10:30 to 11:00	Coffee / Tea	No Room Required
11:00 to 11:45	Laurent Younes Johns Hopkins University Groups of diffeomorphisms and shape spaces	Room 1
11:45 to 12:30	George Dassios University of Patras Neuronal Current Decomposition via Vector Surface Ellipsoidal Harmonics	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
13:45 to 14:30	Habib Ammari CNRS - Ecole Normale Superieure Paris Expansion methods for medical imaging	Room 1
14:30 to 17:30	Optional Guided Tour of Cambridge Colleges (Please sign-up during workshop registration - limited places availible)	No Room Required
19:30 to 21:00	Conference Dinner at St Catharine's College	No Room Required

Thursday 25th August 2011
09:00 to 09:45	Laurent Cohen CNRS & Université Paris-Dauphine Geodesic methods for Biomedical Image Segmentation	Room 1
09:45 to 10:30	Matti Lassas University of Helsinki X-ray Tomography and Discretization of Inverse Problems	Room 1
10:30 to 11:00	Coffee / Tea	No Room Required
11:00 to 11:45	Alain Trouve CNRS - Ecole Normale Superieure Paris Shape Analysis of Population of Manifolds in Computational Anatomy	Room 1
11:45 to 12:30	David Hawkes University College London Challenges of combining image derived information across modalities, over scale, over time and across populations	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:30	Amir Moradifam University of Toronto Conductivity imaging from one interior measurement in the presence of perfectly conducting and insulating inclusions	Room 1
14:30 to 15:00	Nicholas Hoell University of Toronto The attenuated X-ray transform on curves	Room 1
15:00 to 15:30	A new multi-modality model for effective intensity standardization and image registration	Room 1
15:30 to 16:00	Coffee / Tea	No Room Required
18:45 to 19:30	Dinner at Wolfson Court	No Room Required

Friday 26th August 2011
09:00 to 09:45	Jérôme Darbon University of California, Los Angeles Network Flows and Non-Linear Discrete Total Variation Evolutions	Room 1
09:45 to 10:30	Hervé Delingette INRIA Bordeaux - Sud-Ouest Personalization of electromechanical models of the heart	Room 1
10:30 to 11:00	Coffee / Tea	No Room Required
11:00 to 11:45	Luca Rondi Università degli Studi di Trieste A free-discontinuity approach to inverse problems	Room 1
11:45 to 12:30	Mario Micheli University of California, Los Angeles The geometry of the Riemannian manifold of Landmark points, with applications to Medical Imaging	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:45	Lok Ming Lui Chinese University of Hong Kong Medical Morphometry using Computational Quasiconformal Geometry	Room 1
14:45 to 15:30	Anders Hansen University of Cambridge Generalized Sampling and Infinite-Dimensional Compressed Sensing	Room 1
15:30 to 16:00	Coffee / Tea	No Room Required
18:45 to 19:30	Dinner at Wolfson Court	No Room Required

Analytic and geometric methods in medical imaging

Speakers

Habib Ammari CNRS - Ecole Normale Superieure Paris
Kari Astala University of Helsinki
Prashant Athavale University of California, Los Angeles
Guillaume Bal Columbia University
Adina Ciomaga CNRS - Ecole Normale Superieure Paris
Laurent Cohen CNRS & Université Paris-Dauphine
Jérôme Darbon University of California, Los Angeles
George Dassios University of Patras
Hervé Delingette INRIA Sophia Antipolis
Anders Hansen University of Cambridge
David Hawkes University College London
Nicholas Hoell University of Toronto
Ender Konukoglu Microsoft (UK)
Rongjie Lai University of Southern California
Matti Lassas University of Helsinki
Lok Ming Lui Chinese University of Hong Kong
Mario Micheli University of California, Los Angeles
Amir Moradifam University of Toronto
Nikos Paragios École Centrale de Paris
Luca Rondi Università degli Studi di Trieste
Otmar Scherzer Technische Universität Wien
Carola Schönlieb University of Cambridge
Alain Trouve CNRS - Ecole Normale Superieure Paris
Gunther Uhlmann University of Washington
Lihong Wang Washington University in St. Louis
Laurent Younes Johns Hopkins University
Hongkai Zhao University of California, Irvine

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Analytic and geometric methods in medical imaging

Workshop theme

Timetable

Speakers

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