Abstract: A set of Burmester curves can present an infinite number of rigid-body guidance solutions for given four rigid-body poses. It is difficult for designers to synthesize the best linkage through rapidly and exactly select points that ensure to satisfy every design condition. First, an infinite number of rigid-body guidance solutions were expressed as finite solution regions in this paper. Based on initial analysis of solution regions, the mechanism property graph was computed to make designers find out the revolved mechanism's information, such as type, minimum transmission angle, link-length ratio, defects, and so on. Second, after the design constraints were considered and imposed, the feasible solution regions which avoid aimlessness in choosing positions can be calculated. Finally, on the feasible solution regions or the one of interest, property analysis graphs were displayed, along with which the optimized rigid-body guidance solution produces.