The invention relates to the machining of materials and can be used for removing flaws from various surfaces, particularly from housings, sheets and cast parts, as well as for removing coatings and rust. A lobed buffing wheel comprises lobes of a buffing material that includes an abrasive material on an elastic substrate, said lobes being fastened to a drive shaft. The lobes of buffing material are created from flat geometric shapes that are bent with the abrasive material facing outward to form a three-dimensional shape, and are fastened to the drive shaft by the bent fastening side. This provides for more efficient buffing of complex-shaped parts by increasing the area of contact between the buffing surfaces and the part.