Abstract: With the development of high-tech, applications of complex surface are more and more extensive. Its applications primarily depend on two aspects: on the one hand, requirements of mechanical properties, functions and devices with specific performance, which requires products to achieve high-precision mathematical characteristics; on the other hand, it is the need for aesthetic appearance to meet the demand for product. Development and implementation of complex surface depend on complex surface design and manufacturing technologies. Three aspects on research and development trends are described: Design technology of complex surface, such as surface modeling and reverse engineering; machining technology of complex surface, such as optical free-form surfaces and complex machining; machining equipment of complex surface, such as function parts and control system. The main problems in the development of complex surface design techniques, processing technology and machining equipment are pointed out, and their development trend is forecasted.

Key words: Complex curve surface, Current research, Design, Equipment, Machining, Trend