Abstract
A new generation of instruments in astrophysics or vision now provide spherical data. These spherical data may present a self-similarity property while no spherical analysis tool is yet available to characterize this property. In this paper we present a first numerical study of the extension of multifractal analysis onto the sphere using spherical wavelet transforms. We use a model of multifractal spherical textures as a reference to test this approach. The results of the spherical analysis appear qualitatively satisfactory but not as accurate as those of the usual 2D multifractal analysis.
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Keywords
- Multifractal Analysis
- Omnidirectional Image
- Spherical Data
- Cosmic Microwave Background Data
- Spherical Wavelet
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Koenig, E., Chainais, P. (2008). Multifractal Analysis on the Sphere. In: Elmoataz, A., Lezoray, O., Nouboud, F., Mammass, D. (eds) Image and Signal Processing. ICISP 2008. Lecture Notes in Computer Science, vol 5099. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69905-7_70
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DOI: https://doi.org/10.1007/978-3-540-69905-7_70
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