This paper describes the construction of second generation bandelet bases and their
application to 3D geometry compression. This new coding scheme is orthogonal and the …

We describe multiscale representations for data observed on equispaced grids and taking
values in manifolds such as the sphere S^2, the special orthogonal group SO(3), the positive …

Curve subdivision schemes on manifolds and in Lie groups are constructed from linear
subdivision schemes by first representing the rules of affinely invariant linear schemes in …

This letter is devoted to the stability of the so-called piecewise polynomial harmonic (PPH)
multiresolution transform that belongs to the class of data dependent nonlinear …

Fig. 1. Partial reconstructions from a progressive encoding of the molecule model. File sizes
are given in bytes, errors in multiples of 10− 4 and PSNR in dB (model courtesy of The …

Linear curve subdivision schemes may be perturbed in various ways, for example, by
modifying them such as to work in a manifold, surface, or group. The analysis of such …

We give a refined analysis of the Hölder regularity for the limit functions arising from a
nonlinear pyramid algorithm for robust removal of non-Gaussian noise proposed by Donoho …

We consider quasi-interpolation operators for functions assuming their values in a
Riemannian manifold. We construct such operators from corresponding linear quasi …

Extending upon the work of Cohen, Dyn, and Matei (Appl. Comput. Harmon. Anal. 15: 89–
116, 2003) and of Amat and Liandrat (Appl. Comput. Harmon. Anal. 18: 198–206, 2005), we …

Cette thèse est consacrée à la représentation de la géométrie des images. Pour obtenir une
représentation efficace il faut modéliser l'information géométrique et on construit des outils …