In the paper the main attention is paid to conditions on algebras from a given variety Θ which provide coincidence of their algebraic geometries. The main part here play the notions mentioned in the title of the paper.

The most perceptually important features in images are geometrical, the most prevalent being the smooth contours (“edges”) that separate different homogeneous regions and delineate distinct objects. Although wavelet based algorithms have enjoyed success in many areas of image processing, they have significant shortcomings in their treatment of edges. Wavelets do not parsimoniously capture even ...

PURPOSE In the present work, the authors compare geometrical and Monte Carlo projectors in detail. The geometrical projectors considered were the conventional geometrical Siddon ray-tracer (S-RT) and the orthogonal distance-based ray-tracer (OD-RT), based on computing the orthogonal distance from the center of image voxel to the line-of-response. A comparison of these geometrical projectors was...

We present a geometrical demonstration for the persistence properties bi-Hamiltonian system modeling waves in shallow water regime. Both periodic and non-periodic cases are considered, key ingredient our approach is one of Hamiltonians system.

The paper deals with the modeling and identification of the gravity compensators used in heavy industrial robots. The main attention is paid to the geometrical parameters identification and calibration accuracy. To reduce impact of the measurement errors, the design of calibration experiments is used. The advantages of the developed technique are illustrated by experimental results .

The boundary integral method is used to solve scattering by perfect electric conducting or perfect dielectric bodies. This paper deals with different aspects of the modeling: frequency domain and time domain formulations, computing, solver. Methods allowing the treatment of geometrical discontinuity for all kinds of mesh are specially discussed. Validation of the formulations is carried by comp...