Division of Applied Mathematics

Seminars for Feb 10 - Feb 14, 1997

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• Monday, February 10, 1997
  
  

  Lefschetz Center for Dynamical Systems Seminar

  Speaker:	Matthais Bueger, University of Giessen
  Title:	An Autonomuous Reaction-Diffusion System which has Periodic Solutions
  Time/Place:	4:30 p.m., B&H 155

• Tuesday, February 11, 1997
  
  

  LEMS and Electrical Science Seminar

  Speaker:	William Wolovich, Brown University, Division of Engineering
  Title:	Identifying and Matching Free-Form Curves Using Implicit Polynomials
  Time/Place:	4:00 p.m., B&H 161

• Wednesday, February 12, 1997
  
  

  Brown Applied Mathematics Pattern Theory and Vision Seminar

  Speaker:	Stefano Soatto, Harvard University
  Title:	A View on 3-D Structure from Motion
  Time/Place:	4:00 p.m., 182 George Street, Room 110

  Abstract:   ``Structure From Motion'' (SFM) is concerned with estimating both the structure of the 3-D environment and its motion relative to a viewer from a sequence of 2-D images.
  

  We will show how the problem can be cast naturally within the framework of Dynamical Systems that evolve on certain manifolds. By performing model reduction on the "natural" dynamical system, one can re-discover (and therefore compare) all the models proposed in the literature to estimate SFM, as well as impose constraints such as gaze fixation or "plane-parallax". One can also prove the feasibility of SFM by means of observability analysis of (any of) the models.
  

  Despite the fact that SFM has been an active field of research for decades, so far no algorithms have been proven to work successfully in real-time on natural (non-structured) environments. This has led some to conclude that SFM is too hard a problem to be solved in full generality. We will discuss what we believe are the crucial obstacles to the practical realization of general SFM algorithms.
  

• Friday, February 14, 1997
  
  

  PDE Seminar

  Speaker:	Daniel Tataru, Northwestern University and Princeton University
  Title:	Local Well-posedness for Semilinear Hyperbolic Equations
  Time/Place:	3:00 p.m., Kassar 105

  Brown University Center for Statistical Sciences Seminar

  Speaker:	Daniel Zelterman, Ph.D., Division of Biostatistics, Yale University
  Title:	Exact Statistical Significance in Familial Disease Clusters
  Time/Place:	3:00 p.m., Bio Med Center, Room 291   (Coffee at 2:50 p.m.)

  Abstract:   In many epidemiologic studies the first indication of an environmental or genetic contribution to the disease is the way in which the diseased cases cluster within the same family units. We assume that all individuals are exchangeable, except for their disease status. This assumption of exchangeability is used to test the initial hypothesis of no familial link with the disease. Conditional on the distribution of the sizes of the various familial units, we obtain the exact probability of observing a given set of disease cluster frequencies. The expected frequencies and other moments are given. Two numerical examples demonstrate these methods. We describe an algorithm for obtaining exact statistical inference by enumerating all possible outcomes consistent with the numbers and sizes of the family units.

  Department of Mathematics Colloquium

  Speaker:	Edriss S. Titi, University of California
  Title:	On the Question of Global Regularity for Three-Dimensional Flows
  Time/Place:	4:30 p.m., Kasser 105

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