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EN
In the area of image analysis of templates, we have proposed and implemented a method for locating landmarks in 2D-images of faces. It uses the weighted correlation coefficient as a similarity measure between the template and the image. The weights are selected in the optimal way to improve the discrimination of parts of the image which correspond to the template from those which do not. The method does not use specific properties of faces.
PL
Zaproponowaliśmy i zastosowaliśmy metodę lokalizacji punktów orientacyjnych obrazów dwuwymiarowych. Podstawą jej jest użycie ważonego współczynnika korelacji pomiędzy szablonem a obrazem. Wagi są wybierane w sposób optymalny dla poprawy rozróżnienia części obrazu, które odpowiadają szablonowi od tych które nie odpowiadają. Metoda nie odwołuje się do specyficznych własności twarzy.
EN
In the linear regression, heteroscedasticity and multicollinearity can be characterized as intertwined problems, which often simultaneously appear in econometric models. The aim of this paper is to discuss various approaches to regression modelling for heteroscedastic multi collinear data. A real economic dataset from the World Economic Forum serves as an illustration of various individual methods and the paper provides a practical motivation for quantile regression and particularly for regularized regression quantiles. In the dataset, tourist service infrastructure across 141 countries is modelled as a response of 12 characteristics of the Travel and Tourism Competitiveness Index (TTCI). Regression quantiles and their lasso estimates turn out to be more suitable for the dataset compared to more traditional econometric tools.
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