A

Data-dependent nonlinear approximation techniques are used within a multiresolution environment to compress signals with strong gradients in applications such as image restoration, disparity calculation, or optical flow.

 B

Numerical methods for partial differential equations are designed and analyzed for use in fields as diverse as gas dynamics (both compressible and incompressible), sedimentation of polydisperse suspensions, flow in porous media, dynamics of charged particles, etc.