| 断层轮廓的双三次非均匀B样条曲面重构 |
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| 引用本文： | 王瑜,郑津津,周洪军,沈连婠.断层轮廓的双三次非均匀B样条曲面重构[J].中国科学技术大学学报,2011,41(5). |
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| 作者姓名： | 王瑜 郑津津 周洪军 沈连婠 |
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| 作者单位： | 1. 中国科学技术大学精密机械与精密仪器系,安徽合肥,230027
2. 中国科学技术大学国家同步辐射实验室,安徽合肥,230029 |
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| 基金项目： | 国家自然科学基金，中国科学院"百人计划";国家重点基础研究发展(973)计划，高等学校博士学科点科研专项基金，111引智工程项目 |
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| 摘 要： | 针对断层图像数据,提出了一种曲面重构的方法.依据曲率特征首先提取各层特征点,对其重采样使每行(列)获得统一的采样点数;再对采样点插值得到非均匀双三次B样条曲面;最后,在一定控制精度下对曲面依据距离特征进行节点插入,通过最小二乘逼近法算出新的控制顶点,从而得到误差在容许范围内的逼近曲面.根据断层轮廓的特点,本算法综合运用了周期B样条和非周期B样条,讨论了封闭曲面和非封闭曲面的计算方法.另外插值和逼近的结合应用使该算法更快速、实用.
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| 关 键 词： | 非均匀B样条曲面 插值 逼近 特征点 节点插入 迭代 |
Bi-cubic non-uniform B-spline surface reconstruction for slice contours |
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| WANG Yu,ZHENG Jinjin,ZHOU Hongjun,SHEN Lianguan.Bi-cubic non-uniform B-spline surface reconstruction for slice contours[J].Journal of University of Science and Technology of China,2011,41(5). |
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| Authors: | WANG Yu ZHENG Jinjin ZHOU Hongjun SHEN Lianguan |
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| Institution: | WANG Yu1,ZHENG Jinjin1,ZHOU Hongjun2,SHEN Lianguan1(1.Department of Precision Machinery and Precision Instrumentation,University of Science and Technology of China,Hefei 230027,China,2.National Synchrotron Radiation Laboratory,Hefei 230029,China) |
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| Abstract: | A surface reconstruction method from the slice contours was proposed.First,feature points were extracted based on curvature feature,and they were resampled in order to get a unification of sampling points in each line(column).Then,the sampling points were interpolated to get a bi-cubic non-uniform B-spline surface.Finally,nodes were inserted on the surface based on distance feature at a certain control accuracy,and the new control points through the least-squares approximation method were calculated to get ... |
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| Keywords: | non-uniform B-spline surfaces interpolation approximation feature points knot insertion iterative |
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