| 冯兴辉，张旭，金龙，刘 栋.基于G1连续的圆弧与B样条分段区间确定及重构方法[J].轻工机械,2016,34(2): |
| 基于G1连续的圆弧与B样条分段区间确定及重构方法 |
| Arc and B-Spline Piecewise Interval and Reconstruction Method Research Based on Gl Continuous Circular |
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| DOI：10. 3969/j. issn. 1005 -2895. 2016. 02. 007 |
| 中文关键词: 逆向工程 截面重构 分段点区间 线性化 |
| 英文关键词:reverse engineering cross-sectional reconstruction segmentation point interval linearization |
| 基金项目:国家自然科学基金资助项目( 51205246)；上海高校青年教师培养资助计划资助(shgcjs024) |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| In the reverse engineering , the quality of cross section curve reconstruction determines the initial design intent
which can better reflect the object or not. High precision segmentation points extraction is the key to improve the quality
of reconstruction. For circular arc with B-spline curve reconstruction process, the point of uncertain piecewise interval
problems, the circular arc with B-spline linearization method was put forward. Connecting with the point of piecewise
interval on the basis of the principle of mathematical statistics method and reconstruction method based on the golden
section method. the high precision between the arc and B-spline segments were extracted. The living example proved
that the method could search for high segment among the existing data. The method is effective to solve the precision
segmentation point extraction of arc with B-spline. |
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