Computer composition of transformed classical surfaces as the ways and means for constructing visual models of realistic objects (New software application “ArtMathGraph”)

Abstract

The new software application “ArtMathGraph” (AMG) is developed for constructing a visual representation of predetermined complicated geometrical forms as visual models of realistic objects, including objects of Nature. This application is based on the methods of Analytical Geometry and Computer Graphics only. The AMG application includes two basic methodical parts: 1 - the analytical modeling and computer visualization of multiple different sets of new mathematical transformed surfaces as components for a consequential computer superposition of these surfaces; 2 - interactive visual modeling of predetermined geometrical forms by using the computer superposition of constructed mathematical transformed surfaces. By experience, consecutive use of all means of the AMG application allows obtaining various compositions of visual images of realistic objects (Figures 1, 2).