Date of Online Publication: 22/12/2006 Keywords: Stability, biorthogonal, multiresolution, non separable, video compression, quantization Authors: S. Amat, S. Busquier, J.C.Trillo Pages: 229-239
Multiresolution transforms are powerful tools in video processing applications because of its exibility in representing nonstationary signals. For a proper adaptation to the singularities, it is crucial to develop nonlinear schemes. In these applications where some coefficients are modified or discared we need to have some stability properties. In this paper, three-dimensional biorthogonal multiresolution algorithms that ensure this stability are introduced. A prescribed accuracy in various norms is ensured by these strategies. Explicit error bounds are presented.