A new type cam reducer

which has unique superiority

can be widely used in the low speed and heavy load field such as in the petroleum machinery

the metallurgy machinery

the farm machinery and so on.The cam contour curve can be designed by hypermetamorphic function

by establishing rectangular coordinates

and according to meshing relations of the cam conjugate curves

the mathematic model of the cam outline curves had been set up.The model is a foundation for the optimization design and computer aided manufacture.