On the basis of the principle that topological quantum phases arise from the scattering around space-time defects in higher dimensional unification, a geometric model is presented that associates with each quantum phase an element of a transformation group.

The use of virtual reality techniques in the development of educational applications brings new perspectives to the teaching of subjects related to the field of civil construction. In order to obtain models, which would be able to visually simulate the construction process of two types of construction work, the research turned to the techniques of geometric modeling and virtual reality. The app...

The Landsat 8 spacecraft was launched on 11 February 2013 carrying two imaging payloads: the Operational Land Imager (OLI) and the Thermal Infrared Sensor (TIRS). The TIRS instrument employs a refractive telescope design that is opaque to visible wavelengths making prelaunch geometric characterization challenging. TIRS geometric calibration thus relied heavily on on-orbit measurements. Since th...

On basis of modification of Einstein’s gravitational equations by adding the term f(R) ∝ βR , a geometric model of quintessence is proposed. The evolution equation for the scale factor a of the Universe is analyzed for the two parameters n = 2 and n = 4/3, which were preferred by previous studies of the early Universe. Another choice of parameters n and β is proposed from the following reasons:...

“Normal foot model” is a geometric model of a healthy human foot. As the comparison of the processed feet requires a reference ideal healthy foot parameterization it was necessary to create such a model by defining skeleton geometric features and generating the feature set on a dataset population. Manual positioning of such number of landmarks is both a complex and time consuming task for a ski...

This paper investigates manipulation tasks with arrays of microelectromechanical structures (MEMS). We develop a geometric model for the mechanics of microactuators and a theory of sensorless, parallel manipulation, and we describe e cient algorithms for their evaluation. The theory of limit surfaces o ers a purely geometric characterization of microscale contacts between actuator and moving ob...

Due to increasing demands on cutting tools, cutting edge preparation is of high priority because of its influence on the tool life. Current cutting edge preparation processes are mostly limited to generating simple roundings on the cutting edge. Multi-axis high precision form grinding processes offer great potential to generate defined cutting edge microgeometries. Knowledge about the relation ...

The design of a family of efficient oil-flooded twin screw air compressors was performed at City University London for Elgi Equipments Coimbatore, India. It was carried out using a software package, which included almost every aspect of the rotor profiling and compressor thermodynamic and geometric modelling with the capacity to transmit calculated output directly into a CAD drawing system. Rac...