One of the purposes of this article is to give a general audience sufficient background into
the details and techniques of wavelet coding to better understand the JPEG 2000 standard …

Uncompressed multimedia (graphics, audio and video) data requires considerable storage
capacity and transmission bandwidth. Despite rapid progress in mass-storage density …

We show that, in any typical transform coding system, there is always a linear relationship
between the coding bit rate R and the percentage of zeros among the quantized transform …

In this chapter, we develop the properties of wavelet systems in terms of the underlying filter
banks associated with them. This is an expansion and elaboration of the material in Chapter …

In our previous work, we have developed a rate-distortion (RD) modeling framework for H.
263 video coding by introducing the new concepts of characteristic rate curves and rate …

We present a numerical method to take into account 2D arbitrary-shaped interfaces in
classical finite-difference schemes, on a uniform Cartesian grid. This work extends the …

A new watermarking scheme which incorporates wavelet and spatial transformation has
been developed for digital images. This algorithm utilizes the wavelet multiresolutional …

We extend our previous work on space-frequency quantization (SFQ) for image coding from
wavelet transforms to the more general wavelet packet transforms. The resulting wavelet …

In recent years the satellite communication has been growing for the development of rapid
and efficient techniques for the storage and transmission of satellite images. The science of …

This paper provides a mathematical analysis of transform compression in its relationship to
linear and nonlinear approximation theory. Contrasting linear and nonlinear approximation …