Implication of Ωm through the morphological analysis of weak lensing fields

We apply the morphological descriptions of a two-dimensional contour map, the so-called Minkowski functionals (the area fraction, circumference, and Euler characteristics), to the convergence field kappa(theta) of the large-scale structure reconstructed from the shear map produced by the ray-tracing simulations. Using the perturbation theory of structure formation, it has been suggested that, with respect to the threshold in the weakly nonlinear regime, the non-Gaussian features on the Minkowski functionals are induced by the three skewness parameters of k that are sensitive to the density parameter of matter, Omega (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 the Omega (m) determination is improved by similar to 20% using the Minkowski functionals compared with the conventional method of using the direct measure of skewness.