*Our mentor*: **Thomas
Grandine**, Boeing Company

*Team members:*
* Bogdan
Craciun(Caltech)
,Quoc
Thong Le Gia
(Texas A&M), Miao-jung
Ou(Delaware), (*)*

*Abstract:*

In Computer Aided Design, many problems can be reduced to the bivariate
contouring problem: Given a continuous function f: D -> R^{n-2},
where D is a subset of R^{n}, we want to represent the zero set
{p: f(p)=0} parametrically as the image of a function
x:[0,1]^{2} -> R^{n}. The uniqueness of the
parametrization is ensured by imposing two PDEs on the function x.
During the workshop, we devised an algorithm to solve the problem
numerically.

*Results*

- Final report [TeX files, ps.gz file, PDF file].
- Animation of an envelope of a moving surface [wrl file].(Plug-in )
- Slides (final presentation).
- Matlab and C code. [finite element ex1, ex2, ex3 -- from (*), finite difference examples from (**)]
- Pictures we took together [pic1 union pic2 = whole team].