Groebner bases in Java with applications in computer graphics
Branko J. Malesevic, Ivana V. Jovovic, Milan Z. Campara
TL;DR
This paper introduces a Java implementation of Groebner basis algorithms that facilitates graphical visualization of surface intersections in 3D space and analyzes their geometric properties.
Contribution
The paper provides a step-by-step Java implementation of Buchberger's algorithm with applications in visualizing and analyzing surface intersections.
Findings
Graphical representation of surface intersections achieved
Conditions for existence and planarity of intersections determined
Java implementation demonstrates practical application of Groebner bases
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.
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Taxonomy
TopicsPolynomial and algebraic computation · Advanced Numerical Analysis Techniques · Cryptography and Residue Arithmetic