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Image Projection and Representation on Sn
Authors:Emil Saucan  Eli Appleboim  Yehoshua Y. Zeevi
Affiliation:(1) Electrical Engineering Department, Technion – Israel Institute of Technology, Technion City 32000 Haifa, Israel
Abstract:In signal processing, communications, and other branches of information technologies, it is often desirable to map the higher-dimensional signals on Sn. In this article we introduce a novel method of representing signals on Sn. This approach is based on geometric function theory, in particular on the theory of quasiregular mappings. The importance of sampling is underlined, and new geometric sampling theorems for general manifolds are presented.
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