A method for grinding at least one surface on a cutting blade (22) used in machining, with a cup-type grinding wheel (28) that rotates around an axis (38) and comprises a face area, a cylinder area and a wheel height (SH) measured parallel to the axis, the grinding wheel (28) having a working area (34) extending into the face area and into the cylinder area of the grinding wheel, the working area consisting of an annular surface having a circular arc profile in axial cross section, wherein the face area extends from the axis (38) to a point (Tz) on the circular arc profile having a tangent which is parallel to the axis (38) and wherein the cylinder area extends through the wheel height (SH) to a point (Ts) on the circular arc profile having a tangent which is perpendicular to the axis (38), comprising the steps of:
- a) generating a surface on the cutting blade (22) by grinding with the annular surface during a first orientation in space between the grinding wheel (28) and the cutting blade (22) by executing at least one first relative translational movement between the grinding wheel (28) and the cutting blade (22), and
- b) regrinding at least one part of the generated surface with the annular surface during a second orientation in space between the grinding wheel (28) and the cutting blade (22) by executing at least one second relative translational movement between the grinding wheel (28) and the cutting blade (22).