Multiscale geometric analysis for 3D catalogs

Details Multiscale geometric analysis for 3D catalogs Multiscale geometric analysis for 3D catalogs

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002spie.4847..101d&link_type=abstract

Astronomical Data Analysis II. Edited by Starck, Jean-Luc; Murtagh, Fionn D. Proceedings of the SPIE, Volume 4847, pp. 101-1

Astronomy and Astrophysics

Astronomy

1

Scientific paper

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.

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