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Proceedings Paper

Multiscale geometric analysis for 3D catalogs
Author(s): David L. Donoho; Ofer Levi; Jean-Luc Starck; Vicent Martinez
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Paper Abstract

We have developed tools for analysis of 3D volumetric data which allow sensitive characterizations of filamentary structures in 3D point clouds. These tools rapidly compute multiscale X-ray transforms of the data volume. Subcubes of varying locations and scales are extracted from the data volume and each is analyzed by integrating along a strategically chosen set of line segments covering all different orientations. The underlying motivation is that point clouds with different degrees of filamentarity will lead to multiscale X-ray coefficients having different distributions when viewed at the right scale. The multiscale approach guarantees that information from all scales is available; by extracting the information from the transform in a statistically appropriate fashion, we can sensitively resolve differences in details of the filamentarity. We will describe the algorithm and the results of comparing different simulated galaxy distributions.

Paper Details

Date Published: 19 December 2002
PDF: 11 pages
Proc. SPIE 4847, Astronomical Data Analysis II, (19 December 2002); doi: 10.1117/12.461971
Show Author Affiliations
David L. Donoho, Stanford Univ. (United States)
Ofer Levi, Stanford Univ. (United States)
Jean-Luc Starck, CEA Saclay (France)
Vicent Martinez, Observatori Astronomic/Univ. de Valencia (Spain)

Published in SPIE Proceedings Vol. 4847:
Astronomical Data Analysis II
Jean-Luc Starck; Fionn D. Murtagh, Editor(s)

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