The Representation of Archimedes Helix with Bernstein-Like Basis

This paper discusses the necessary and sufficient condition to represent the Archimedes helix with Bernstein-like basis of order four.Under this condition,we can obtain the control points of the Bézierrepresented Archimedes helix.Then we can express the Archimedes helix expediently.In addition,with the Archimedes helix and circular arc,we can construct a cam,so the control of the cam with a polygon comes true.