Based on classical Burmester theory

a Burmester curve generation improved algorithm applying to the four position guidance mechanism synthesis is presented.Through establishing the circle point equations with a curve unified parameter and constructing the mapping relation between the angle parameter and the value of circle

center point

the finite paramter interval representation of infinite Burmester curve is realized.Taking two kinds of typical Burmester curves and a special curve which two pairs of pole are symmetrical about a straight line for example

the calculation methods and steps of burmester curves are expounded and the correctness and reliability of the calculation model is verified.