Related Experiment Video
Updated: Jan 10, 2026

Operation of the Collaborative Composite Manufacturing CCM System
Published on: October 1, 2019
Curvature-Adoptive CNC Machining of Freeform Optics via Dynamic Tangential Toolpath Optimization.
Ravi Pratap Singh1, Yaolong Chen1
1Department of Mechanical Engineering, Xi'an Jiaotong University, 28 Xianning West Road, Xi'an 710049, China.
This study introduces a new machining strategy for freeform optical lenses, improving precision and reducing manufacturing time. The curvature-adaptive method optimizes toolpaths for complex surfaces, outperforming traditional techniques.
Area of Science:
- Optical engineering
- Advanced manufacturing technologies
- Computer-aided manufacturing (CAM)
Background:
- Freeform optical lenses are critical for applications like Earth observation and laser fusion.
- Manufacturing these lenses is challenging due to complex geometries and the need for high surface accuracy.
- Conventional CNC machining struggles with rapidly varying curvatures, leading to inefficiencies.
Purpose of the Study:
- To present a novel curvature-adaptive machining strategy for freeform optics.
- To address the limitations of conventional fixed-step machining methods.
- To improve precision, surface finish, and reduce manufacturing time for freeform optical systems.
Main Methods:
- Developed a dynamic tangential toolpath optimization strategy.
- Created a dedicated CAM software environment for generating optimized toolpaths and G-code.
- Employed experimental validation on representative freeform optics.
Main Results:
- Achieved a reduction in peak-to-valley form error by up to 48.4% in a single error-compensation iteration.
- Demonstrated superior performance compared to conventional fixed-step methods.
- Confirmed improvements in surface finish, reduced machining time, and enhanced process flexibility.
Conclusions:
- The proposed curvature-adaptive machining strategy offers a practical and high-precision advancement for freeform optics manufacturing.
- This method significantly outperforms conventional approaches without specialized hardware.
- It enables the efficient production of high-performance freeform optical systems.
Related Concept Videos
Plastic Deformation in Circular Shafts
Deformation in a Circular Shaft
Curvilinear Motion: Normal and Tangential Components
The positive direction of the t-axis aligns with the increasing position of the car along the curved path, denoted by the unit vector ut. Simultaneously, the n-axis, perpendicular to the t-axis, dissects the curved path into differential arc segments, each forming the arc of a circle with a radius of...
Torsion of Noncircular Members
Unsymmetric Bending - Angle of Neutral Axis
When a bending moment is applied at an angle θ concerning the vertical axis of a symmetrical member, it can be resolved into components along the member's principal...
Bending of Curved Members - Neutral Surface
Consider the curved member described in the previous lesson. According to Hooke's law, which relates stress to strain within the...

