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"At no other time in human history have the influence and impact of image processing on modern society, science, and technology been so explosive. Image processing has become a critical component in contemporary science and technology and has many important applications. This book develops the mathematical foundation of modern image processing and low-level computer vision, and presents a general framework from the analysis of image structures and patterns to their processing. The core mathematical and computational ingredients of several important image processing tasks are investigated. The book bridges contemporary mathematics with state-of-the-art methodologies in modern image processing while organizing the vast contemporary literature into a coherent and logical structure."

"This book provides a practical guide, complete with accompanying Matlab software, to many different types of polynomial and discrete splines and spline-based wavelets, multiwavelets and wavelet frames in signal and image processing applications. In self-contained form, it briefly outlines a broad range of polynomial and discrete splines with equidistant nodes and their signal-processing-relevant properties. In particular, interpolating, smoothing, and shift-orthogonal splines are presented. "

"Visual communications services are now making a significant impact on modern society. Videoconferencing, HDTV and Multimedia are just examples where this technology is being used to good effect. Communicating using video signals does, however, require a large volume of data to be transmitted, and even with modern high-bandwidth communication links this can be expensive. This requires the implementation of efficient image or video coding and compression schemes. This paper presents image compression schemes using wavelet transform. This paper also highlights the importance of the four most desirable characteristics for use in digital signal processing, namely orthonormality, compactness, regularity or smoothness and symmetry or anti-symmetry. Some of these characteristics are mutually exclusive and require design compromise. From the simulation results it can be seen that for equal total length of the analysis (decomposition) and synthesis (reconstruction) filters, biorthonormal wavelets performs much better than the ortlionormal wavelet (i.e. asymmetrical wavelets). This performance is not only in terms of a higher WPSNR but also in terms of the quality of reconstructed image."