Abstract: The convex curvilinear revolving workpieces with higher accuracy and better surface quality are applied extensively in the area of aerospace as well as others. The traditional locus method for grinding can not meet the demands of highly efficient precision process due to low accuracy and efficiency. A new linear envelop method to process convex curvilinear revolving workpiece and its implementation were introduced. Based on the analysis on the forming mechanism, a computational model of cc points suitable for this forming method and keeping the same scallop height was proposed. Compared the efficiencies of linear envelop method and locus method under the same scallop height, it can be concluded that the processing efficiency of linear envelop method is about four times higher than that of locus method when the radius of curvature on contour lines outside the workpiece is comparatively large.