Groebner bases in Java with applications in computer graphics

Abstract

In this paper we present a Java implementation of the algorithm that computes Buchbereger's and reduced Groebner's basis step by step. The Java application enables graphical representation of the intersection of two surfaces in 3-dimensional space and determines conditions of existence and planarity of the intersection.

International convention on Descriptive Geometry and Engineering Graphics moNGeometrija 2010, http://www.mongeometrija.org/