Astronomy and Astrophysics – Astrophysics
Scientific paper
2001-04-02
Astronomy and Astrophysics
Astrophysics
4 pages, 3 figures, to appear in ApJ Letter
Scientific paper
10.1086/319838
We apply the morphological descriptions of two-dimensional contour map, the so-called Minkowski functionals (the area fraction, circumference, and Euler characteristics), to the convergence field $\kappa(\bm{\theta})$ of the large-scale structure reconstructed from the shear map produced by the ray-tracing simulations. The perturbation theory of structure formation has suggested that the non-Gaussian features on the Minkowski functionals with respect to the threshold in the weakly nonlinear regime are induced by the three skewness parameters of $\kappa$ that are sensitive to the density parameter of matter, $\Omega_{\rm m}$. We show that, in the absence of noise due to the intrinsic ellipticities of source galaxies with which the perturbation theory results can be recovered, the accuracy of $\Omega_{\rm m}$ determination is improved by $\sim 20%$ using the Minkowski functionals compared to the conventional method of using the direct measure of skewness.
Futamase Toshifumi
Jing Yi-Peng
Sato Jun'ichi
Takada Masahiro
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