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  \textbf{\Large{\textsc{STANFORD UNIVERSITY}}}\\[5pt]
  \textbf{\Large{\textsc{DEPARTMENT OF STATISTICS}}}\\[5pt]
  \Large{\textsc{DEPARTMENTAL SEMINAR}}
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% In the following statements, replace "Time of talk", 
% "Weekday", and "Date of talk". An example is provided. 
% If you are not sure about this, just skip this part.


\begin{center}
  4:15 p.m., Tuesday, July 8, 2008\\
  %% Example: 4:15 p.m., Tuesday, February 13, 2007\\
  Sequoia Hall Room 200\\
  (Cookies at 3:45 in 1st Floor Lounge)
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% In the following statements, replace "Name of the speaker" with your
% name, "Department Affiliation" with your department affiliation, and
%"University Affiliation" with your university affiliation.

\begin{center}
  \textsl{Kingshuk Roy Choudhury} \\
  Department of Statistics\\
  University College Cork, Ireland
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% In the following statements, replace "Title of the talk"
% with your title of the talk.

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  \subsection*{Reconstruction of wind wave fields by refractive imaging of water}
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% In the following statements, replace "Abstract of the talk"
% with your abstract.

\noindent

The study of wind waves gives insight into ocean atmosphere 
interaction. Despite advances in mathematical modeling of waves, 
experimental observation in wave tanks is still an important tool 
for understanding their development. We consider the problem of 
reconstructing the wave height and slope fields from refracted light 
images of the wave field. Previous authors Zhang (1996), Kimmoun et 
al. (1999), have proposed a two stage reconstruction algorithm: a) 
Local reconstruction of slopes b) Global reconstruction of heights. 
We show how statistical analysis can improve reconstruction quality. 
Our approach is based on a non-linear nonparametric observational 
model. Analysis under this model shows considerable 
heteroscedasticity and some bias in local slope estimates. These are 
incorporated into the global reconstruction, which is achieved using 
a computationally efficient minimization of a penalized weighted 
least squares criterion. The method is validated by simulation 
experiments and illustrated by application to real data.



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