Publication

Discrete Wavelet Frames on the Sphere

Pierre Vandergheynst, Iva Bogdanova Vandergheynst
2004
Conference Papers

Abstract

In this paper the Continuous Wavelet Transform on the sphere is exploited to build the asociated Discrete Wavelet Frames. First, the half-continuous frames, i.e. frames where the position remains a continuous variable, is presented and then the fully discrete theory is presented. The notion of controlled frames is introduced, which reflects the particular nature of the underlying theory, particularly the apperant conflict between dilation and the compacity of the sphere. The paper is concluded with some numerical illustrations and future work.

Official source

https://infoscience.epfl.ch/entities/publication/716d9102-6aef-49a5-a507-f187c2c5ab7e

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Pierre Vandergheynst, Iva Bogdanova Vandergheynst
2004
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/716d9102-6aef-49a5-a507-f187c2c5ab7e

About this result

Related concepts (20)

Wavelet

A wavelet is a wave-like oscillation with an amplitude that begins at zero, increases or decreases, and then returns to zero one or more times. Wavelets are termed a "brief oscillation". A taxonomy of wavelets has been established, based on the number and direction of its pulses. Wavelets are imbued with specific properties that make them useful for signal processing. For example, a wavelet could be created to have a frequency of Middle C and a short duration of roughly one tenth of a second.

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