Annual Report 2008.pdf - SAMSI

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information about the objects. Shapes are represented as points on an infinite-dimensional shape manifold and geodesic paths on this manifold are used to implement shape interactions. In particular, we will introduce a square-root velocity representation of curves that greatly simplifies their shape analysis under the well-known elastic metric. This framework will be illustrated using simple examples of low-energy configurations, highlighting the potential of this framework. Namrata Vaswani Iowa State University Department of Electrical and Computer Engineering namrata@iastate.edu “Deformable Contour Tracking and System Identification” We consider the problem of sequentially segmenting (or tracking) an object or more generally a “region of interest” (ROI) from a sequence of images. Deforming contours occur either when the ROI is actually deforming its shape over a time or space sequence of images (e.g. beating heart or ROIs in a spatial sequence of a brain MRI) or due to changing region of partial occlusions on the ROI. The image likelihood given the contour (“observation likelihood”) is often multimodal, due to multiple objects or background clutter or partial occlusions, or due to outliers. When the object is arbitrarily deforming, each contour point can move independently. Contour deformation then forms an infinite (in practice, very large), dimensional space. Direct application of particle filters (PF) for large dimensional problems is impractical. But in most real problems, at any given time, “most of the contour deformation” occurs in a small number of dimensions (“effective basis”) while the residual deformation in the rest of the state space (“residual space”) is small (not ZERO). Based on this assumption, we develop a very efficient PF algorithm called PF-MT (importance sample only on effective basis and replace it by deterministic Mode Tracking for resdiual deformation) where the PF dimension is only equal to the effective basis dimension. Mode Tracking refers to finding the mode of the residual deformation posterior (assumed unimodal). We will first discuss Affine PF-MT, where we used the 6-dim space of affine deformations as the effective basis. This fails when the image has two or more contour modes separated by local deformation. Here we propose to use an interpolation effective basis, i.e. deformation at a subsampled set of contour points as the “effective basis”. We call this Deform PF-MT. Tracking results on simulated and real sequences will be shown and compared with past work. The need to change effective basis dimension and ways to re-estimate it efficiently using frequency domain techniques is discussed. The essential idea is to compute the spatial Power Spectral Density (PSD) of the deformation “signal” and to apply Nyquist criterion to it. In fact, spatial frequency response of deformation and models for its change over time can also be a new technique for system identification and recognition problems. POSTER ABSTRACTS Fred Bookstein University of Washington
Department of Statistics flb@stat.washington.edu “Alternative Shape Metrics: Some Recent Progress” Ping-Feng Chen North Carolina State University ECE alex_tpf@yahoo.com “Global Geodesic Function on Surfaces from Different View of Range Images” Pengwen Chen University of Florida Department of Mathematics pchen@math.ufl.edu “A Novel Parametrization Independent Curves Matching Model” Stanley Durrleman INRIA Sophia Antipolis Asclepios Project stanley.durrleman@gmail.com “Measuring Brain Variability via Diffeomorphic Registration of Sulcal Lines” Ibrahim Aykut Erdem Middle East Technical University Department of Computer Engineering aykut@ceng.metu.edu.tr “Shape Spaces from Local Symmetries” Juan Gutierrez Florida State University Department of Mathematics jgutierr@math.fsu.edu “Bio-Structural Classification Database” Byung-Woo Hong University of California Los Angeles Department of Computer Science hong@cs.ucla.edu
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NSF Annual Report 2007-2008 Submitt
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Education and Outreach • 2-Day Wo
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C. Directorate’s Summary of Chall
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National Leadership and Involvement
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D. Synopsis of Developments in Rese
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the efficient treatment of complex
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c) RANDOM MEDIA Much of the work of
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2. Human Resource Development SAMSI
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[it] from time to time.” (M. Rose
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Undergraduate Workshops 2007-08 Sum
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3. Education The impact of SAMSI co
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The working group Climate and Weath
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oundary method as a means to impose
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assumed full responsibility for the
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I. Annual Progress Report The previ
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Kazi Ito NCSU Mathematics Ralph Smi
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2007-08 Sensor Networks Transition
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Environmental Sensor Networks Progr
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Yang Yu Zhang Zhong Zhu Jun Bin Yi
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Mattingly McKinley Minion Mitran Ng
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Cheng Choi Clark Cooley Das Das Del
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Ren Resnick Rios Cuirong Sidney Jes
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Rosenblum Rotnitzky Scharfstein Sun
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B. Postdoctoral Fellows This sectio
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Administrative Mentor: Michael Mini
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We consider modeling multiple risk
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1. Statistics Department Seminar, C
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Presentations: Change of Spatiotemp
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Presentations: “Some Thoughts on
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Theory for multiple change-point se
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2. Discovering Game Theoretic Conce
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“Work on numerical large deviatio
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contributing team member, as often
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accuracy of the solutions. Some pre
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Continuing Collaborations: Helen Zh
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7 th World Congress in Probability
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N/A 9. Other Research while at SAMS
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Risk analysis (multivariate extreme
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Jesus Rios Plans for 2008-10 I will
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Communication: --a consistent, time
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C. Graduate Student Participation 1
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Elijah Gaioni (University of Connec
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Xiaoyan’s thesis work is on devel
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Jason Wilson (Duke) is involved in
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Ilka A. Reis (National Institute fo
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4. Challenges in Dynamic Treatment
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4.5 Program Activities The program
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which held morning and afternoon se
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• B. Carlin (Biostatistics, Unive
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Also following from the program, se
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4.11 Summary of Exciting Research a
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interested students and faculty, an
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6. Education and Outreach Program T
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Cherokee Investment Partners, Const
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G. Publications and Technical Repor
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• Ma, C. “Construction of Non-G
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• Bayarri, M.J., J. Berger, F. Li
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• Vernieres, G., Gremaud, P., Olu
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• Krishnapur, M., Zeitouni, O., R
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• Hou, S., K. Huang, K. Solna, an
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• Das, S., “Analyzing Fatal Dri
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H. Diversity Efforts SAMSI puts con
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(University of Utah) and Natallia K
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2007-08 Random Media Opening Worksh
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2. Affiliate Involvement 2.1 Backgr
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J. Advisory Committees Committee Na
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Institute directors agree to inform
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analysis of DNA and protein sequenc
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University), Jeremy Gunawarden (Har
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Many problems and existing simulati
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Carolina), Gareth Peters (New South
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actually replace individual analyse
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effect parameter of interest prior
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with structures that are not tempor
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about confidence in results. Furthe
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2. Stochastic Dynamics 2.1 Overview
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Michael Reed (Mathematics, Duke), G
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These two approaches, through the u
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• Li Lexin (North Carolina State
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At NCAR, Boulder, Colorado and orga
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SAMSI working groups. Participation
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certain distances, be used to captu
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subject to the l 1 constraint. Zou
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3. Breiman, L. (1996): Heuristics o
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enabled high virtual attendance by
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(b) Estimation of large random matr
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We have already discussed problems
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Appendix C. Workshop Participant Li
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Sanso Bruno Male University of Cali
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Compmod New Methods and Case Studie
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El Karoui Nourredine Male UC Berkel
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Education and Outreach Program SAMS
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Sutton Karyn Female NCSU Mathematic
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Lin Rongheng Male U Mass Biostatist
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Geometry and Statistics of Shape Sp
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Heo Giseon Female Hirani Anil Male
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Pennec Xavier Male Pike Brian Male
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Yasamin Saeid Male Yezzi Anthony Ma
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Daum Keith Male Idaho National Labo
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Langstaff John Male Laurey Terri Fe
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Sedransk Nell Female NISS Statistic
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Risk PPP Workshop Workshop Particip
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Rezaei Mahmoud Male Clemson Mathema
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Lysenko Natalia Female ETH Zurich S
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Biondini Gino Male State U New York
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Khatri Shilpa Female Courant Instit
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Spiller Elaine Female SAMSI Mathema
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Interface Workshop Workshop Partici
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Cheney Margaret Female Rensselaer P
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Agarwal Ankit Male U Kansas Enginee
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Lahiri Soumendra Male Texas A & M U
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Last Name SAMSI/CRSC Industrial Mat
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Reale- Levis Jim Male NCSU Engineer
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Gray William Male U. North Carolina
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Serban Nicoleta Female Georgia Inst
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Page 237 and 238: Munoz Breda Female RTI Internationa
Page 239 and 240: Smith Ralph Male NCSU Mathematics F
Page 241 and 242: Undergraduate Two-Day Workshop Part
Page 243 and 244: Schmidt Courtney Female Georgetown
Page 245 and 246: Schaeffer Amanda Female U Arizona M
Page 247 and 248: Presentation Chris Snyder, NCAR/MMM
Page 249 and 250: Chair of Afternoon Session Tom Sant
Page 251 and 252: 1:00-2:15 Lunch Chair of Afternoon
Page 253 and 254: “Calibration of a Numerical Model
Page 255 and 256: model. The output is functional dat
Page 257 and 258: santner.1@osu.edu “Optimization o
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Page 271 and 272: 9:00 Presentations and Discussion
Page 273 and 274: 11:25-11:55 From Population to Indi
Page 275 and 276: 4:00 - 5:30 Shapes in Medical Imagi
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Page 289 and 290: 2:15 - 4:00 Working Group Formation
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Page 295 and 296: series. We propose a specific class
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Page 301 and 302: of the solution. Here we reveal a s
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Page 305 and 306: numerical approach. Several example
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Page 313 and 314: X. Program on Risk Analysis, Extrem
Page 315 and 316: SPEAKER ABSTRACTS Chair: David Bank
Page 317 and 318: Thoughts on the Use of Decision Ana
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Page 325 and 326: Concha Gomez, University of Wiscons
Page 327 and 328: Iris Mack, Phat Math, Inc. and Flor
Page 329 and 330: 8:15 - 8:45 Continental Breakfast a
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University of California, Irvine De
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overall a good agreement between im
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9:00-9:05 Alan Karr, National Insti
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3:30 - 4:00 Coffee Break Soumen Lah
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“Experiences in Developing an Eco
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Jennifer Hoeting Colorado State Uni
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kogle@uwyo.edu “Data-Model Integr
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“Compression and Analysis of Gold
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"A Cost-Efficient Approach to Wirel
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The main goal of a data collection
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Wednesday, January 23, 2008 Radisso
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“Robust Prediction Error Criterio
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one of the main sources of uncertai
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other. A core problem is how to inf
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"The Asymptotic Structure of Nearly
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SAMSI madar@post.tau.ac. “Bayesia
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11:30 - 12:00 Discussion Session 12
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garnier@math.jussieu.fr “Wave Pro
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has lagged. While it is quite clear
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Appendix E - Workshop Evaluations E
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E.2 Evaluation of Scientific Conten
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E.3 Evaluation of Staff Percent of
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E.5 Evaluation of Lodging Evaluatio
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