Large scale conformal maps

Conformal Anomaly and Large Scale Gravitational Coupling

We present a model in which the breackdown of conformal symmetry of a quantum stress-tensor due to the trace anomaly is related to a cosmological effect in a gravitational model. This is done by characterizing the traceless part of the quantum stress-tensor in terms of the stress-tensor of a conformal invariant classical scalar field. We introduce a conformal frame in which the anomalous trace ...

Large Deformation Registration via n-dimensional Quasi-conformal Maps

We propose a new method to obtain registration between n-dimensional manifolds with very large deformations. Given a set of landmark correspondences, our algorithm produces an optimal diffeomorphism that matches prescribed landmark constraints. The obtained registration is a n-dimensional quasi-conformal map. The basic idea of the model is to minimize an energy functional with a conformality te...

Conformal Maps and Minimal Surfaces

Developing a New Method in Object Based Classification to Updating Large Scale Maps with Emphasis on Building Feature

According to the cities expansion, updating urban maps for urban planning is important and its effectiveness is depend on the information extraction / change detection accuracy. Information extraction methods are divided into two groups, including Pixel-Based (PB) and Object-Based (OB). OB analysis has overcome the limitations of PB analysis (producing salt-pepper results and features with hole...

Large-scale benchmark of Endeavour using MetaCore maps

SUMMARY Endeavour is a tool that detects the most promising genes within large lists of candidates with respect to a biological process of interest and by combining several genomic data sources. We have benchmarked Endeavour using 450 pathway maps and 826 disease marker sets from MetaCore of GeneGo, Inc. containing a total of 9911 and 12 432 genes, respectively. We obtained an area under the re...