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Multiscale geometric analysis or geometric multiscale analysis is an emerging area of high-dimensional signal processing and data analysis.
See also

Scale space
Multi-scale approaches
Multiresolution analysis
Singular value decomposition
Compressed sensing

Further reading
Multiscale Geometry and Analysis in High Dimensions. September 7 – December 17, 2004.
Donoho, David L. "Emerging applications of geometric multiscale analysis". arXiv:math.ST/0212395.
Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming. "Near-Optimal Detection of Geometric Objects by Fast Multiscale Methods". CiteSeerX
Starck, J. L.; Martínez, V. J.; Donoho, David L.; Levi, O.; Querre, P.; Saar, E. (2005). "Analysis of the Spatial Distribution of Galaxies by Multiscale Methods". EURASIP Journal on Advances in Signal Processing. 2005 (15): 2455. arXiv:astro-ph/0406425. Bibcode:2005EJASP2005...99S. doi:10.1155/ASP.2005.2455.

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