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Compression on the digital unit sphere. (English) Zbl 0978.42024

Summary: A method for compressing functions on the unit sphere is presented. This method is based on a Ramanujan set of rotations, and generates an equidistributed system of points. This method is flexible and easy to implement as it needs only few transformations to cover the whole unit sphere with spherical caps.

MSC:

42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
41A17 Inequalities in approximation (Bernstein, Jackson, Nikol’skiĭ-type inequalities)
94A12 Signal theory (characterization, reconstruction, filtering, etc.)
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