Mathematical model and computer visualization of the intricate geometrical objects

Abstract

Mathematical model and computer visualization of the intricate geometrical objects

G.S. Rachkovskaya

Incoming article date: 20.01.2013

  This paper presents the mathematical model for the construction of visual images of the intricate geometrical objects by means of computer graphics of transformed initial well-known surfaces. The transformed surfaces are a result of applying the mathematical transformations to the analytical representations of initial well-known classical surfaces such as plane, cone, cylinder, sphere, ellipsoid, etc. Graphical means of computer visualization of the geometrical objects is included  in the previously developed software application “ArtMathGraph” (AMG). The AMG application provides the possibility to interactive combine the individual images into computer compositions of derivable intricate geometrical objects as computer models of technical, natural or architectural visual images.    

Keywords: Mathematical Modeling, Analytical Surfaces, Computer Visualization