Vývoj aplikace v MATLABu pro řešení úloh analytické geometrie ve 2D a 3D

Abstract

The goal of the thesis is to develop the application in MATLAB with graphical user interface for solving analytic geometry problems. User can choose from three tasks in the interface. In first part, user defines two objects (point, line, in 3D also plane and quadratic surface) and solves their relative position, intersection and eventually metrical problems as distance and deviation. The second part is concerned with computing volume of parallelogram in 2D and 3D and volume of parallelepiped in 3D, both formed by user defined vectors. Final part, which is intended for practical usage of analytic geometry, enables to search for so-called ''contact pairs'' between two objects (Master against Slave) created by fem meshes and stored in fem structure.