Shape complexity based on mutual information

Shape complexity has recently received attention from different fields, such as computer vision and psychology. In this paper, integral geometry and information theory tools are applied to quantify the shape complexity from two different perspectives: from the inside of the object, we evaluate its degree of structure or correlation between its surfaces (inner complexity), and from the outside, we compute its degree of interaction with the circumscribing sphere (outer complexity). Our shape complexity measures are based on the following two facts: uniformly distributed global lines crossing an object define a continuous information channel and the continuous mutual information of this channel is independent of the object discretisation and invariant to translations, rotations, and changes of scale. The measures introduced in this paper can be potentially used as shape descriptors for object recognition, image retrieval, object localisation, tumour analysis, and protein docking, among others

A variational approach for calculating Franck-Condon factors including mode-mode anharmonic coupling

We have implemented our new procedure for computing Franck-Condon factors utilizing vibrational configuration interaction based on a vibrational self-consistent field reference. Both Duschinsky rotations and anharmonic three-mode coupling are taken into account. Simulations of the first ionization band of Cl O2 and C4 H4 O (furan) using up to quadruple excitations in treating anharmonicity are reported and analyzed. A developer version of the MIDASCPP code was employed to obtain the required anharmonic vibrational integrals and transition frequencies

The effect of counterpoise correction and relaxation energy term to the internal rotation barriers: application to the BF3 ...NH3 and C2H4 ...SO2 dimers

The relevance of the fragment relaxation energy term and the effect of the basis set superposition error on the geometry of the BF3⋯NH3 and C2H4⋯SO2 van der Waals dimers have been analyzed. Second-order Møller-Plesset perturbation theory calculations with the d95(d,p) basis set have been used to calculate the counterpoise-corrected barrier height for the internal rotations. These barriers have been obtained by relocating the stationary points on the counterpoise-corrected potential energy surface of the processes involved. The fragment relaxation energy can have a large influence on both the intermolecular parameters and barrier height. The counterpoise correction has proved to be important for these systems

La Reforma Catòlica a la muntanya catalana a través de les visites pastorals: els bisbats de Girona i Vic (1587-1800)

La present tesi vol explicar la implantació de la Reforma Catòlica en una sèrie de parròquies rurals dels bisbats de Girona (valls de Ridaura, Bas, Hostoles i Amer) i Vic (El Collsacabra i les valls de Susqueda i Sau), entre 1587 i 1800, des dels bisbes posttrentins Jaume Caçador i Pedro Jaime als il·lustrats Tomàs de Lorenzana i Francisco de Veyan. La documentació principal són les sèries de les visites pastorals conservades a l'Arxiu Diocesà de Girona i l'Arxiu Episcopal de Vic; paral·lelament, s'ha reforçat amb documentació parroquial (llibres sagramentals, consuetes, llibres d'obra i confraries), protocols notarials (notaries de Rupit, Sant Feliu de Pallerols, El Mallol i Amer) i impresos episcopals. Els manaments de les visites pastorals s'han contrastat, amb semblances i diferències, amb els decrets del concili de Trento, de les constitucions provincials tarraconenses i les sinodals gironines i vigatanes, i amb les evidències artístiques, arquitectòniques i arqueològiques. Tots ells han servit per demostrar la lentitud en la implantació del programa tridentí, que s'assoleix, de fet, amb força retard (ben entrat el segle XVIII).