Morfometryka -- A New Way of Establishing Morphological Classification
  of Galaxies
  We present an extended morphometric system to automatically classify galaxies
from astronomical images. The new system includes the original and modified
versions of the CASGM coefficients (Concentration $C_1$, Asymmetry $A_3$, and
Smoothness $S_3$), and the new parameters entropy, $H$, and spirality
$\sigma_\psi$. The new parameters $A_3$, $S_3$ and $H$ are better to
discriminate galaxy classes than $A_1$, $S_1$ and $G$, respectively. The new
parameter $\sigma_\psi$ captures the amount of non-radial pattern on the image
and is almost linearly dependent on T-type. Using a sample of spiral and
elliptical galaxies from the Galaxy Zoo project as a training set, we employed
the Linear Discriminant Analysis (LDA) technique to classify Baillard et
al.(2011, 4478 galaxies), Nair \& Abraham (2010, 14123 galaxies) and SDSS
Legacy (779,235 galaxies) samples. The cross-validation test shows that we can
achieve an accuracy of more than 90\% with our classification scheme.
Therefore, we are able to define a plane in the morphometric parameter space
that separates the elliptical and spiral classes with a mismatch between
classes smaller than 10\%. We use the distance to this plane as a morphometric
index (M$_{\rm i}$) and we show that it follows the human based T-type index
very closely. We calculate morphometric index M$_{\rm i}$ for $\sim$780k
galaxies from SDSS Legacy Survey - DR7. We discuss how M$_{\rm i}$ correlates
with stellar population parameters obtained using the spectra available from
SDSS-DR7.
