Machine vision can greatly benefit from the development of accurate reflectance models. There are two approaches to the study of reflection: physical and geometrical optics. While geometrical models may be construed as mere approximations to physical models, they possess simpler mathematical forms that often render them more usable than physical models. However, geometrical models are applicabl...

Desiccant wheels are widely used in buildings to control humidity and reduce energy consumption. A model is presented based on transient coupled heat and mass transfer, to model, design and analyze the effects of geometrical characteristics of a honeycombed rotary desiccant wheel and its performance. Governing equations are solved numerically using finite volume method and the model is validate...

Geometrical languages generalize languages introduced to model temporal validation of real-time softwares. We prove that it is decidable whether a regular language is geometrical. This result was previously known for binary languages.

In this paper we discuss two data models for spatial database systems: the linear data model and the topological data model . Both can be used to model a wide range of applications. The linear data model is particularly suited to model spatial database applications in which exact geometrical information is required and in which this information can be approximated by linear geometrical spatial ...

abstract the structural and electrostatic properties of the single-walled two representative (8, 0) zigzag and (4, 4) armchair models of pristine and gaas-doped on boron phosphide nanotubes (bpnts) was investigated by calculating the nuclear magnetic resonance tensors and with performing the density function theory. the geometrical structures of all representative pristine and gaas-doped models...

These notes give examples of how suitably defined geometrical objects encode in their fractal structure thermal critical behavior. The emphasis is on the two-dimensional Potts model for which two types of spin clusters can be defined. Whereas the Fortuin-Kasteleyn clusters describe the standard critical behavior, the geometrical clusters describe the tricritical behavior that arises when includ...

The Raychaudhuri equation is derived by assuming geometric flow in space–time M of n+1 dimensions. turns into a harmonic oscillator form under suitable transformations. Thereby, relation between geometrical entropy and mean geodesic deviation established. This has connection to chaos theory where the trajectories diverge exponentially. We discuss its application cosmology black holes. Thus, we ...