We present in this paper a technique for customization of geometric models of animals based on pictures. The object to be customized is divided into a set of hierarchically related local coordinate systems which allow for independent transformations of different body parts. A picture of the desired result is used as a visual aid to drive the customization process. We show the results of applyin...

We propose a geometrized Higgs mechanism based on the gravitational sector in the Connes-Lott formulation of the standard model, which has been constructed by Chamseddine, Fröhlic and Grandjean. The point of our idea is that Higgs-like couplings depend on the local coordinates of the four-dimensional continuum, M4. The localized couplings can be calculated by the Wilson loops of the U(1)EM gaug...

We prove a characterization of the domains in en with an automorphism orbit accumulating at a boundary point at which the boundary is real analytic and convex up to a biholomorphic change of local coordinates. This result generalizes the well-known Wong-Rosay theorem on strongly pseudoconvex domains to the case of locally convex domains with real analytic boundaries.

PURPOSE The traditional brachytherapy catheter reconstruction with biplane images is based on digitizing radio-opaque markers with a pointing device on a film or on a screen. An algorithm to automate digitization of radio-opaque marker coordinates on biplane images is presented. MATERIAL AND METHODS To obtain the marker coordinates in a proper sequence, instead of usual pair of reconstruction...

xiii German Abstract — Zusammenfassung xv

We introduce a powerful method for exploring the properties of the multidimensional free energy surfaces (FESs) of complex many-body systems by means of coarse-grained non-Markovian dynamics in the space defined by a few collective coordinates. A characteristic feature of these dynamics is the presence of a history-dependent potential term that, in time, fills the minima in the FES, allowing th...

Let C be a curve of genus g > 2 defined over the fraction field K of a complete discrete valuation ring R with algebraically closed residue field. Suppose that char(K) = 0 and that the characteristic of the residue field is not 2. Suppose that the Jacobian Jac(C) has semi-stable reduction over R. Embed C in Jac(C) using a K-rational point. We show that the coordinates of the torsion points lyin...

We describe a new method for accurately measuring the relationship between pixel coordinates of neighboring projectors in a tiled projection display. The method can be used to calibrate the alignment and distortions in the tiled display and to touch up existing calibrations with local corrections. Additionally, by simultaneously measuring the characteristic spacing of textural features on the s...

Many alternative coordinate choices exist for the description of the rotational motion of a rigid body. Not all the choices are equivalent with respect to their domain of validity for accurate attitude representation or the ease they ooer in the control design process. In this paper we present two choices of coordinates which seem to be appropriate for two important control problems: the stabil...

The nuclei of the thalamus have traditionally been delineated by their distinct cyto/myeloarchitectural appearance on histology. Here, we show that diffusion tensor magnetic resonance imaging (DTI) can noninvasively resolve the major thalamic nuclei based on the characteristic fiber orientation of the corticothalamic/thalamocortical striations within each nucleus. Using an automatic clustering ...