WAVELETS AND ILL POSED PROBLEMS:

OPTIC FLOW AND SCATTERED DATA INTERPOLATION

Christophe BERNARD

CMAP - Ecole Polytechnique, 91128 Palaiseau cedex, France

Original location : http://www.cmap.polytechnique.fr/~bernard/these/ (last access : January 4, 2004)

Note: the French version is also available (http://www.cmap.polytechnique.fr/~bernard/these/these-fr.pdf)

Abstract: This PhD thesis handles two separate problems that have two things in common. They are both ill-posed problems, and for each of these problems, we suggest a solution that is based on wavelets. The first problem is that of optic flow estimation. The second problem is that of scattered data interpolation. This thesis can therefore be seen as two illustrations of ill posed problem solving with wavelets.

Application area: 3-dimensional scene analysis; 3-dimensional model reconstruction for virtual reality, or in robotics to built a representation of the environment of a moving robot.