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Taking the disc cams with translating roller follower study object,the organization form,basic /general dimension,accurate description and basic steps for dimension synthesis are given,the coordinate system O- rr₀ e and area dimension space Ω（ r₀,r,e） of dimension are constructed,then discretizeing and gridding of the dimension area is carried out. The four constraint conditions and analytical expressions are put forward,through single or merge visualization- oriented mapping with ergodic method,the corresponding boundary and solution domain are given. Then,according to the multi objective planning and visualization- oriented mapping,it shows some important rules such as carinal dot P_iek*/ crest line lek/ crest plane Sback and the bottom dot P_ek**/ valley dot P***,it also reveals the existence of optimal solution. All the consequences are instructive to the dimension synthesis of the mechanism.