Morphology of the Galaxy Distribution from Wavelet Denoising

@article{Martnez2005MorphologyOT,
  title={Morphology of the Galaxy Distribution from Wavelet Denoising},
  author={V. J. Mart{\'i}nez and J-L. Starck and E. Saar and David L. Donoho and Simon C. Reynolds and Pablo de la Cruz and Silvestre Paredes},
  journal={The Astrophysical Journal},
  year={2005},
  volume={634},
  pages={744 - 755}
}
We have developed a method based on wavelets to obtain the true underlying smooth density from a point distribution. The goal has been to reconstruct the density field in an optimal way, ensuring that the morphology of the reconstructed field reflects the true underlying morphology of the point field, which, as the galaxy distribution, has a genuinely multiscale structure, with near-singular behavior on sheets, filaments, and hot spots. If the discrete distributions are smoothed using Gaussian… 

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