Multiscale geometric analysis

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

See also

• Wavelet
• 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. (2002). "Emerging applications of geometric multiscale analysis". arXiv:math.ST/0212395.
• Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming (2005). "Near-Optimal Detection of Geometric Objects by Fast Multiscale Methods". IEEE Trans. Inform. Theory. 51 (7): 2402–2425. Bibcode:2005ITIT...51.2402A. CiteSeerX 10.1.1.93.1335. doi:10.1109/TIT.2005.850056. S2CID 2520081.
• 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.