Journal of Fourier Analysis and Applications

, Volume 13, Issue 6, pp 711–727 | Cite as

Image Projection and Representation on Sn



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.


Riemannian Manifold Simplicial Complex Image Projection Quasiconformal Mapping Stereographic Projection 
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Copyright information

© Birkhauser Boston 2007

Authors and Affiliations

  1. 1.Electrical Engineering Department, Technion – Israel Institute of TechnologyTechnion City 32000 HaifaIsrael

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