8 October 1996 Segmentation-based wavelet transform for still-image compression
Author Affiliations +
In order to address simultaneously the two functionalities, content-based scalability required by MPEG-4, we introduce a segmentation-based wavelet transform (SBWT). SBWT takes into account both the mathematical properties of multiresolution analysis and the flexibility of region-based approaches for image compression. The associated methodology has two stages: 1) image segmentation into convex and polygonal regions; 2) 2D-wavelet transform of the signal corresponding to each region. In this paper, we have mathematically studied a method for constructing a multiresolution analysis (VjOmega)j (epsilon) N adapted to a polygonal region which provides an adaptive region-based filtering. The explicit construction of scaling functions, pre-wavelets and orthonormal wavelets bases defined on a polygon is carried out by using scaling functions is established by using the theory of Toeplitz operators. The corresponding expression can be interpreted as a location property which allow defining interior and boundary scaling functions. Concerning orthonormal wavelets and pre-wavelets, a similar expansion is obtained by taking advantage of the properties of the orthogonal projector P(V(j(Omega )) perpendicular from the space Vj(Omega ) + 1 onto the space (Vj(Omega )) perpendicular. Finally the mathematical results provide a simple and fast algorithm adapted to polygonal regions.
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Gerard Mozelle, Abdellatif Seghier, Francoise J. Preteux, "Segmentation-based wavelet transform for still-image compression", Proc. SPIE 2823, Statistical and Stochastic Methods for Image Processing, (8 October 1996); doi: 10.1117/12.253445; https://doi.org/10.1117/12.253445


Image segmentation

Image compression


Algorithm development

Wavelet transforms

Projection systems


Wavelet probing for compression-based segmentation
Proceedings of SPIE (November 01 1993)
Image quality metrics based on scale
Proceedings of SPIE (March 26 1998)
Multiscale geometric image processing
Proceedings of SPIE (June 23 2003)
Wavelet-based sensor fusion
Proceedings of SPIE (August 20 1993)

Back to Top