Calculus of Variations, Geometry, Image

Research topics

Applied Geometry

• Geometry in point clouds
• Approximation and Design
• PH curves and transition curves
• Geometric reconstruction from inertial sensors : Acquisition and reconstruction of curves and surfaces, Interpolation of geodesics and curvature lines

Multiresolution Methods

• Subdivision and Multiresolution Analysis
• Nonlinear Multiscale Signal and Image Representation
• Divergence-free wavelets
• Multicomponent Signal Analysis
• Application to Signal and Image Multiscale Analysis

Variational and PDE-based problems

• Nonlinear geometric problem
• Interface motion by mean curvature flow
• Wavelets for the numerical solution of PDEs