Despite decades of extensive research in this field, no solution to the problem of optimal part surface generation has been found. Kinematic Geometry Surface Machining fills the gap between the capabilities of modern multi-axis numerical controlled machines and the demands of the market. This book presents the latest research in the field of optimal surface generation. It provides an overview of modern CAD/CAM systems for high precision sculptured part surfaces. Including real-world examples and end-of-chapter references, the text also explains in detail how to develop the most cost-effective methods of machining for high quality sculptured surfaces on a multi-axis numerical controlled machine.