Non-orthogonal Co-ordinates in Computer Graphics

There are many applications that are not naturally based on the orthogonal co-ordinate systems, like ultrasound imaging, astronomy, mechanical computations etc. In many cases it is necessary to transform the problem formulation to the orthogonal co-ordinate system, where the problem is solved, transform the solution back and visualize the solution. The polar, spherical or cylindrical co-ordinate systems are natural to many problems and sometime also used for computations. It will be shown that the polar systems in E can be used for the visualization pipeline and some properties of such system will be discussed including geometric transformation in the polar system.