%0 Generic
%A Melchior, Peter
%D 2010
%F heidok:10954
%K Galaxien-Morphologiegalaxy morphology
%R 10.11588/heidok.00010954
%T Shapelets for gravitational lensing and galaxy morphology studies
%U https://archiv.ub.uni-heidelberg.de/volltextserver/10954/
%X The presented work is concerned with the morphological description of stars and galaxies in the framework of the shapelet method. This method constitutes a linear expansion in the orthonormal set of Gauss-Hermite polynomials. Its main advantages – linearity, compactness, invariance under Fourier transformation, and the relation to the moments of the brightness distribution – are extensively discussed. The practical treatment of the image decomposition and of the deconvolution from the point spread function are further elaborated. Moreover, three fields of application are presented together with new investigations on the applicability and validity of the method: weak gravitational lensing, morphological class discovery, and realistic simulation of extragalactic observations.