基于G1连续的圆弧与B样条分段区间确定及重构方法

在逆向工程中，截面曲线重构质量的高低决定了能否更好地反映物体的初始设计意图。高精度分段点的提取则是提高重构质量的关键。针对圆弧与B样条曲线重构过程中，无法确定分段点所在区间问题，提出了圆弧与B样条线性化处理方法，并结合基于数理统计原理的分段点区间确定办法和基于黄金分割法的重构方法，提取了圆弧与B样条间的高精度分段点。实例证明该方法能在现存数据之间搜寻精度更高的分段点。该方法有效地解决了圆弧与B样条高精度分段点提取问题。

Arc and B-Spline Piecewise Interval and Reconstruction Method Research Based on Gl Continuous Circular

In the reverse engineering , the quality of cross section curve reconstruction determines the initial design intentwhich can better reflect the object or not. High precision segmentation points extraction is the key to improve the qualityof reconstruction. For circular arc with B-spline curve reconstruction process, the point of uncertain piecewise intervalproblems, the circular arc with B-spline linearization method was put forward. Connecting with the point of piecewiseinterval on the basis of the principle of mathematical statistics method and reconstruction method based on the goldensection method. the high precision between the arc and B-spline segments were extracted. The living example provedthat the method could search for high segment among the existing data. The method is effective to solve the precisionsegmentation point extraction of arc with B-spline.