Multiscale geometric analysis for 3-D catalogues

D. L. Donoho, O. Levi, J. L. Starck, V. J. Martínez

Research output: Contribution to journalConference articlepeer-review


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.

Original languageEnglish
Pages (from-to)101-111
Number of pages11
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - 2002
Externally publishedYes
EventAstronomical data Analysis II - Waikoloa, HI, United States
Duration: 27 Aug 200228 Aug 2002


  • 3-D Beamlet Transform
  • Filaments
  • Galaxy distribution
  • Large scale structures
  • Statistical methods


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