APPROXIMATION, INTERPOLATION, EDP
Description
The student knows interpolation and approximation models to fit data of first or second order. He also uses these polynomial or piecewise polynomial representations for modeling parametric curves and surfaces in the context of geometric modeling.
The student knows the finite element discretisation technique for solving partial differential equations. He is able to evaluate gradients of functional using adjoint computations. He also implements these techniques on a computer and is able to evaluate the quality of his solutions in terms of accuracy and performance.
Bibliography
A practical guide to splines, C. de BOOR, 2001.
Curves and Surfaces for CAGD : A practical guide G. FARIN, 2001. (il existe une traduction en français)
A dynamic programming approach to curves and surfaces for geometric modeling, Ron Goldman, 2002
Subdivision for geometric design: A constructive approach, Warren, Weimer, 2001