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Multispectral imaging

Josh Zeevi
Technion, Haifa

The multiwindow Gabor-type scheme is generalized to the case of multi- dimensional schemes with oversampling, and are applied to images and visual data. Multidimensional operations required in computations of the dual frame are considered by the stacking method that merges dimensions from hyperdimensions to two-dimensional (2D) convetional matrices. Algorithms are generalized to representations over various grids such as the hexagonal one. The advantages of using multi-windows are illustrated by comparing representation of textured images by partial information.
A framework for the design of nonseparable (2D) wavelets is presented. It is shown that the nonseparable two-dimensional wavelet scheme permits the design of 2D multiwavelets with preferred orientations. Such wavelets are important in representaion, processing and compression of textures that exhibit dominant orientations and orientationl edges and line features. The extra degrees of freedom introduced by the extension of the wavelet framework to a higher dimension permits also the design of 2D compactly supported orthogonal wavelets and filter banks with linear phase. 2D orthogonal wavelets with vanishing moments are discussed and nonlinear constraints on the polyphase matrix, required in this case, are presented. Image compression is considered by applying entropy-constrained vector quantization and zerotree in the coding of the wavelet coefficients.

Yehoshua Y. Zeevi is the Barbara and Norman Seiden Professor of Computer Sciences and the Dean of the Faculty of Electrical Engineering, Technion - Israel Institute of Technology. He received the B.Sc. degree from the Technion, the M.Sc. degree from the university of Rochester, Rochester, NY, and the Ph.D. degree from the University of california, Berkeley. He was a Vinton Hayes Fellow at Harvard University, and has been a regular visitor there. He was also a Visiting Professor at the Massachusetts Institute of Technology, and the CAIP Center of Rutgers University. His major research interest has been devoted to vision and image sciences and to signal and image representation in combined spaces. He is one of the founders of i Sight, Inc., a company devoted to digital photography and real-time image processing, and of UltraGuide Ltd. He is a Fellow of the SPIE and the Rodin Academy, the Editor-in-Chief of the Journal of Visual Communication and Image Representation (Academic Press) and a member of the editorial boards of several journals.

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