Image Projection and Representation on Sn
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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.
KeywordsRiemannian Manifold Simplicial Complex Image Projection Quasiconformal Mapping Stereographic Projection
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