Affine transformation preserves the original shapeof an object, therefore it is a very important aspect in computer graphics. This paper presents a technique, how to apply reflections transformation in a mathematical Cartesian coordinates for Java students.

The Tolman-Bondi (TB) model is defined up to some transformation of a co-moving coordinate but the transformation is not fixed. The use of an arbitrary co-moving system of coordinates leads to the solution dependent on three functions f, F, F which are chosen independently in applications. The article studies the transformation rule which is given by the definition of an invariant mass. It is s...

In two previous articles [Phys. Rev. D 71 (2005) 124307 (gr-qc/0503007) and Phys. Rev. D 76 (2006) 0440241 (gr-qc/0607001)] we have discussed several “algorithmic” techniques that permit one (in a purely mechanical way) to generate large classes of general-relativistic static perfect fluid spheres. Working in Schwarzschild curvature coordinates, we used these algorithmic ideas to prove several ...

Structural information in the local electric field produced by helical charge distributions, such as dissolved DNA, is revealed in a straightforward manner employing cylindrical coordinates. Comparison of structure factors derived in terms of cylindrical and helical coordinates is made. A simple coordinate transformation serves to relate the Green function in cylindrical and helical coordinates...

In the integration of geodetic networks with different geodetic coordinate systems, the similarity transformation seems to be the most suitable method because the geodetic coordinate systems are designated to be Cartesian (orthogonal). However, this method may always not be practical to use in most surveying works demanding such high accuracies as the coordinates used in the transformation are ...

A novel calibration method based on polar coordinate is proposed. The world coordinates are expressed in the form of polar coordinates, which are converted to world coordinates in the calibration process. In the beginning, the calibration points are obtained in polar coordinates. By transformation between polar coordinates and rectangular coordinates, the points turn into form of rectangular co...

Severe Tropical Cyclones associated with surges frequently hits the coastal region of Bangladesh. For a reliable hydrodynamic model to simulate the severity of such cyclones, it is necessary to incorporate the meteorological and hydrological inputs properly. In order to incorporate the coastlines and the island boundaries properly in the numerical scheme a very fine grid resolution along the co...

The paper reports about authors’ investigation of applicability of a well-known technique of visualization of multivariate data, parallel coordinates plot, to different kinds of tasks. Some new methods of transformation of parallel coordinates plots are suggested. However, the primary aim of the authors is “to link tools to tasks”, i.e. to explicitly define the tasks that can be appropriately s...