An algorithm for extracting the geometric parameters of a right circular cylinder from its algebraic parameters

Abstract EN

The right circular cylinder (RCC) is an important geometric primitive that appears in many
applications.

The coefficients of the RCC's algebraic equation are called algebraic
parameters.

The algebraic parameters have no direct geometric meaning.

The geometric
parameters of RCC are a vector giving the direction of its axis, a point to fix the axis position,
and a positive real number giving the radius of the cylinder.

In this paper, an algorithm is
introduced to extract the geometric parameters of a RCC from its algebraic parameters.

The
algorithm can also detect non RCC cases.

Seven propositions are proved to make a solid
theoretical ground for the algorithm.

The algorithm is tested on five cases and produces exact
results.