“…The matrix L 2s (f s , c t , z t ) is obtained by deleting the last column and row of the transformation matrix M 2s (f s , c t , z t ), as shown in equation (8). Solving equations (6), (7), (9), (11), (12), (13) and (14) defines the tooth surface of the shaved work gear that is produced using the proposed auxiliary crowning method.…”