The paper presents a systematic method to study the meshing characteristics of the Spherical Cam-Oscillating Roller-Follower (SCORF) mechanism by employing a spatial coordinate transformation method and the meshing contact theory. The meshing characteristics of the SCORF mechanism that are studied in this paper include the patterns of line contact, the curvature interference avoidance, the relative sliding contact behavior of a cam and a roller, and the conditions of dynamic oil film formation. Aiming at presenting such a method, the paper proposes a new meshing theory based on four criteria, namely, (a)n· V112 = 0, (b) limit curve of the first kind, (c) limit curve of the second kind, and (d) induced normal curvature. This new meshing theory offers many technical advantages such as procedural simplicity, ease of understanding and convenience for applications. By deriving the surface equation of the cam profile, the equation of the contact line, the limit point of the first kind, the limit point of the se...