A note on the construction of right circular cylinders through five 3D points
Thomas Chaperon, François Goulette · HAL (Le Centre pour la Communication Scientifique Directe) · 2003
In this short report, we address the problem of constructing a right circular cylinderfrom a given set of ve 3D points. The idea is to be able to construct a cylinder in a similarway as one can construct a plane from three points, or a sphere from four points. Thiswould be particularly useful for cylinder robust tting and cylinder extraction. However,this leads to a much more complex situation than for the plane or the sphere, since theequations involved are nonlinear with respect to the parameters. Our approach is tosimplify the initial system of equations in order to get a more tractable computationalproblem. The system arrived at in this paper consists of three polynomial equations inthree unknowns, of degree (2, 2, 3), which is simpler than the system found in relatedworks. This system has been tested numerically using an interval analysis software.