An Algorithm for Extracting the Geometric Parameters of a Right Circular Cylinder from the Coefficients of its Algebraic Equation, and for a Cylinder/not a Cylinder Classification

Abstract

In this paper, an algorithm is introduced to serve in two tasks. The first is to extract the geometric parameters of a right circular cylinder from the coefficients of its algebraic equation. The second is to identify right circular cylinders from other quadrics given by an algebraic equation; that is, the algorithm can be used as a cylinder/not a cylinder classification tool. The algorithm is tested on a number of cases and its powerful is proved.