A Mathematical Model to Generate 3D Surface

Abstract

When we have n control points on a 2D or 3D space, then using these control points different forms of surface can be constructed. In such case, the construction of a most meaningful surface over these points is the challenging task. The presented work, has defined a fitness function based on the distance and region specification so that only the valid control points and edges will be selected and will avoid the illegal and hidden edges and faces while forming the triangulation. In this work, control points are taken as the initial population for the mathematical process. The process is repeated for specific number of iterations. With each iteration, effective control points, edges and faces get selection.