Image projection and representation on Sn

被引:2
作者
Saucan, Emil [1 ]
Appleboim, Eli [1 ]
Zeevi, Yehoshua Y. [1 ]
机构
[1] Technion Israel Inst Technol, Dept Elect Engn, IL-32000 Haifa, Israel
关键词
image representation; geometric sampling; quasiregular mapping; Alexander's method; spherical metric;
D O I
10.1007/s00041-006-6906-z
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In signal processing, communications, and other branches of information technologies, it is often desirable to map the higher-dimensional signals on S-n. In this article we introduce a novel method of representing signals oil So. 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.
引用
收藏
页码:711 / 727
页数:17
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