On the Relationship between Integer Lifting and Rounding Transform

In this paper we analyze the relationship between integer Lifting scheme and Rounding transform as means to compute the wavelet transform in signal processing area. We bring some new results which better describe relationship, reversibility and equivalence of integer lifting scheme and rounding transform concept

Lossless Linear Integer signal Resampling

This paper describes about signal resampling based on polynomial interpolation is reversible for all types of signals, i.e., the original signal can be reconstructed losslessly from the resampled data. This paper also discusses Matrix factorization method for reversible uniform shifted resampling and uniform scaled and shifted resampling. Generally, signal resampling is considered to be irreversible process except in some special cases because of strong attenuation of high frequency components. The matrix factorization method is actually a new way to compute linear transform. The factorization yields three elementary integer-reversible matrices. This method is actually a lossless integer-reversible implementation of linear transform. Some examples of lower order resampling solutions are also presented in this paper

Décomposition en ondelettes de maillages triangulaires 3D irrégulièrement subdivisés. Application à la compression

- Nous proposons un nouvel algorithme de subdivision qui permet la simplification des maillages triangulaires quelconques à l'aide de la transformée en ondelettes. Cet algorithme est appliqué à la compression sans pertes des maillages. Des résultats expérimentaux montrent l'efficacité de cette approche dans des représentations multirésolutions