自由曲面逆向工程中的区域性再设计方法

针对自由曲面逆向工程的再设计，提出了区域性再设计方法。此方法的思想是通过调整1个控制点，使得一定区域内的多个控制点按照某种规律随之变化，从而可以实现曲面再设计的要求。基于此思想，给出了区域性再设计方法的理论推导，并进行了实例仿真验证。

Regional Re-design in Free-form Surface Reverse Engineering

The regional re-design is introduced based on free-form surface reverse engineering. According to the method, some control points in the domain of influence are changed automatically when only varying one control point by algebraic rule. Then regional re-design of the free-form surface is achieved. Using the method of regional re-design, the domain of influence is chosen suitably according to the surface characteristic to be re-designed. The primary characteristic is preserved in the re-design result perfectly. It is convenient for interactive operation. And this avoids the inconvenience and defective result caused by only varying one control point. The theoretical derivation and emulation about the method is also presented.