By using the gauge Ward identities, we study correlation functions of gauged WZNW models. We show that the gauge dressing of the correlation functions can be taken into account as a solution of the Knizhnik-Zamolodchikov equation. Our method is analogous to the analysis of the gravitational dressing of 2D field theories.

An automated method to register three-dimensional Computed Tomography (CT) and Magnetic Resonance Imaging (MRI) brain images is presented. In a first step, mathematically well founded differential operators in scale space are applied to 2D or 3D CT and MRI images resulting in feature images depicting ’ridgeness’. In a second step, a fully automatic hierarchical correlation scheme is applied to ...

We study correlation functions of coset constructions by utilizing the method of gauge dressing. As an example we apply this method to the minimal models and to the Witten 2D black hole. We exhibit a striking similarity between the latter and the gravitational dressing. In particular, we look for logarithmic operators in the 2D black hole. e-mail: [email protected] e-mail: a.lewis1@...

Capturing and analyzing the correlations among facial parts are important for interpreting facial behaviors precisely. In this paper, we exploit Canonical Correlation Analysis (CCA) to model the correlations of facial parts for facial expression analysis. We propose a Matrix-based Canonical Correlation Analysis (MCCA) for better correlation analysis on 2D image or matrix data in general. Extens...

The correlation filters have been extensively studied in the field of face recognition. Correlation filters can be used directly on image pixels but also on proper feature spaces. We propose an effective algorithm for feature extraction using a genetic algorithm (GA). The algorithm generates a population of genomes that represents the 2D filter coefficient where new genomes are generated by cro...

One new royleanumoate, a benzene ester (1), has been isolated from T. royleanum Wall. ex Benth along with two known compounds, namely, 3,4-dihydroxymethyl benzoate (2) and oleanolic acid (3). The structure elucidation of the isolated compounds was established on two-dimensional (2D) NMR techniques including heteronuclear multiple bond correlation (HMBC), heteronuclear multiple quantum Coherence...