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Analytical techniques for PET, SPECT, MEG and EEG and their numerical implementation.
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Professor Athanassios Fokas
University of Cambridge
United Kingdom
http://www.damtp.cam.ac.uk/user/tf227/ |
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Abstract: One of the most important recent developments in the field of
medial imaging has been the elucidation of analytical as opposed to
statistical techniques. After reviewing such techniques for Positron Emission
Tomography (PET), Single Photon Emission Computerised Tomography
(SPECT), Magnetoencephalography (MEG) and Electroencephalography (EEG),
we will concentrate on their numerical implementations for real data.
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Short Bio: A.S. Fokas has a BSc in Aeronautics from Imperial College (1975),
a PhD in Appied Mathematics from the California Institute of Technology (1979)
and an MD from the University of Miami, School of Medicine (1986). In 1986, at
the age of 33, he was appointed Professor and Chairman of the Department of
Mathematics and Computer Science of Clarkson University, USA. In 1996 he was
appointed to a Chair in Applied Mathematics at Imperial College, UK. In 2002
he was appointed to the newly inaugurated Chair in Nonlinear Mathematical
Science at the University of Cambridge, UK. In 2000 he was awarded the Naylor Prize (the most prestigious prize in Applied Mathematics and Theoretical
Physics in UK, earlier recipients include R. Penrose and S. Hawking). He has
also been awarded the Aristeion Prize in Sciences of the Academy of Athens
(this is the most prestigious prize of the Academy given every four years to a
single scholar chosen from science, engineering, or medicine), as well as the
Excellence prize of the Bodossaki Foundation (this premier scientific prize is
awarded every two years to scientists of Greek origin, as chosen by an
international committee chaired by Nobel Laureate W. Arber). He has received
honourary degrees from five Universities and also has been decorated as the
Commander of the Order of Phoenix by the President of the Hellenic Republic.
He is the youngest member of the Academy of Athens and the first ever Applied
mathematician to be elected a full member to the Academy. He is a Professorial
Fellow at Clare Hall, Cambridge. He is the co-author or co-editor of nine
books, and the author or co-author of more than 200 papers. ISI Web of Science
includes A.S. Fokas in the list of the most highly cited researchers in the
field of Mathematics.
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Sampling: 60 years after Shannon
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Professor Michael Unser
Ecole Polytechnique Fédérale de Lausanne (EPFL)
Switzerland
http://bigwww.epfl.ch/ |
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Abstract: The purpose of this talk, which is centered around the classical sampling theorem, is to present a modern, unifying perspective of sampling, while demonstrating that the research in this area is still alive and well. We concentrate on the traditional setup where the samples are taken on a uniform grid, but we explicitly take into account the non-ideal nature of the acquisition device and the fact that the measurements may be corrupted by noise. We present a powerful projection-based formulation where the goal is to reconstruct a good approximation of the original signal within a given “shift-invariant” function space (not necessarily bandlimited!). We make the link with splines and approximation theory, while providing efficient computational solutions. We consider several mathematical formulations for specifying the “optimal” reconstruction space—regularization theory, minimum mean square error estimation, invariance to basic coordinate transformations—and show that they essentially lead to the same type of solutions. This suggests a unifying implementation of the optimal reconstruction process in terms of generalized B-spline basis functions. We also make the connection with kernel methods (reproducing kernel Hilbert spaces, radial basis functions) and indicate some directions for future research; in particular, methods that incorporate sparsity and/or non-quadratic constraints such as TV. |
Short Bio: Michael Unser is professor and Director of EPFL's Biomedical Imaging Group, Lausanne, Switzerland. His main research area is biomedical image processing. He has a strong interest in sampling theories, multiresolution algorithms, wavelets, and the use of splines for image processing. He has published over 150 journal papers on those topics, and is one of ISI's Highly Cited authors in Engineering (http://isihighlycited.com).
From 1985 to 1997, he was with the Biomedical Engineering and Instrumentation Program, National Institutes of Health, Bethesda USA, conducting research on bioimaging. Dr. Unser is a fellow of the IEEE, a member of the Swiss Academy of Engineering Sciences, and the recipient of three Best Paper Awards from the IEEE Signal Processing Society.
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The Image Foresting Transform: Recent Advances and Perspectives
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Alexandre Xavier Falcão
Professor of the Institute of Computing, University of Campinas
www.ic.unicamp.br/~afalcao |
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Abstract: The image foresting transform (IFT) is a tool for the design of image
processing and analysis operators by choice of an adjacency relation
and a connectivity function between image elements. Image elements may
be pixels, vertices, edges, regions, or contour segments. A
non-reflexive adjacency relation between them transforms the image
into a graph, whose image elements are the nodes and the arcs connect
adjacent elements. A path is a sequence of adjacent nodes. A
connectivity function assigns a value to any path in the graph,
including trivial paths formed by a single node. That is, considering
the maximum (minimum) value among all possible paths with terminus at
each node, the optimum path is trivial for some nodes, called roots,
and the remaining nodes will have an optimum path coming from their
most strongly connected root, partitioning the graph into an
optimum-path forest (disjoint sets of optimum-path trees). Several
image operators are then simply reduced to a local processing
operation on attributes of the forest (e.g., paths, path-values, root
labels).
Recent advances in this framework include hardware proposals, parallel
implementation, and its extension to general datasets, where samples
may be images, regions, contours or other abstract entities. The
choice of adjacency relation and connectivity function in this case
has led to the design of pattern classification and clustering
techniques. Other recent advances also show great perspectives in
combining the IFT with other techniques to create fast and effective
solutions for several applications.
This lecture will start with motivation, definitions, and a short
overview of how to choose adjacency relations and connectivity
functions for some image processing and analysis problems. It will
then present some of the recent advances in object tracking, medical
image segmentation and brain tissue classification. The lecture will
finish by presenting some open problems and on-going works on the IFT. |
Short Bio: Alexandre Falcão received a
B.Sc. in Electrical Engineering (1988)
from the Federal University of Pernambuco (UFPE), PE, Brazil. He has
worked in image processing and analysis since 1991. In 1993, he
received a M.Sc. in Electrical Engineering from the University of
Campinas (UNICAMP), SP, Brazil. During 1994-1996, he worked at the
University of Pennsylvania, PA, USA, on interactive image segmentation
for his doctorate. He got his doctorate in Electrical Engineering from
the University of Campinas (UNICAMP) in 1996. In 1997, he developed
video quality assessing methods for TV Globo, RJ, Brazil. He has been
Professor at the Institute of Computing, University of Campinas, since
1998 and has published over 100 works on topics involving image
processing and analysis, volume visualization, content-based image
retrieval, mathematical morphology, pattern recognition, and medical
imaging applications, being the live-wire segmentation and the image
foresting transform two of his main contributions.
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Signal Processing Techniques in
Wireless Communications
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Dr. Byung K. Yi (B. K.)
Senior Executive Vice President of LG Electronics
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Abstract: We
have witnessed a rapid growth of wireless communications over the two decades
all over the world. Almost a half of the world population has been connected
through wireless browsing the results of the Beijing Olympics and sending at
least two text messages per day per person in average. This remarkable rate of
adaptation has stoked ambers through out globe for the first time after human
discovered the fire. However without advances in signal processing technologies,
wireless communication could not take steps known today, such as detection and
estimation algorithms, multimedia coding schemes, interference cancellation
algorithms, and more. This speech will review the current status of the wireless
communication system in view of signal processing techniques and lay out
challenging signal processing research topics on MIMO, Cooperative and Relay,
and Cognitive Radio.
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Short Bio: Dr. Byung K. Yi (B. K.)
(byungkyi@lge.com), Senior Executive Vice President of LG Electronics, has over
thirty two years of experience in research and development of space systems and
communication systems. He is leading
the LGE MR, LG Electronics North America Research Lab, in San Diego, developing
mobile handset units for North American carriers and conducting researches on
the next generation wireless communication systems. He has been working on currently
deployed third generation systems and upcoming forth generation systems. He had served as a chair of 3GPP2
TSG-C, developing cdma2000 air interface specifications and served as a co-chair
of the Working Group 5 of 3GPP2 TSG-C, developing 1xEV/DV wireless standards. Under his leadership, TSG-C published
three important air-interface industrial standards, cdma2000 Rev. D, High Rate
Packet Data (HRPD) Rev. A and Rev. B.
He was in charge of small satellite system engineering for distributed low earth
orbiting telecommunication and remote sensing applications at Orbital Science
and CTA as a Chief Engineer and as a Chief Scientist. He was responsible for the company
IR&D (Internal Research and Development) management and technology assessment at
the Fairchild Space Company and developed the Brilliant Pebble’s life jacket
(spacecraft bus) system of the SDIO program, which is currently rekindled as
Missile Defense System. He has been
an only industrial participant of the CCSDS (Consultative Committee of Space
Data System) 1A (Coding) and 1B (Modulation) panels since 1986, developing
international space communication standards.
He taught at the George Washington University graduate
courses - Data Communication Network, Error Control Coding, Information Theory
and Communication Theory. His current
interests are wireless and space communication systems, iterative decoding, and
space system engineering. He holds seven
U.S. patents and five international patents in the areas of iterative decoding
and handoff schemes of the cellular based system.
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