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| Dominant point detecting based non-uniform B-spline approximation for grain contour | |
| 作者单位： | ZHAO XiuYang（Shandong Key Laboratory of Engineering Ceramics, Shandong University, Jinan 250061, China） ; YIN YanSheng（Shandong Key Laboratory of Engineering Ceramics, Shandong University, Jinan 250061, China; School of Materials, Ocean University of China, Qingdao 266003, China） ; YANG Bo（State Key Laboratory of Advanced Technology for Materials Synthesis and Processing, Wuhan University of Science and Technology, Wuhan 430070, China） ; |
| 基金项目： | 国家高技术研究发展计划(863计划);国家自然科学基金 |
| 摘 要： | Three-dimension reconstruction from serial sections has been used in the last decade to obtain information concerning three-dimensional microstructural ge-ometry. One of the crucial steps of three-dimension reconstruction is getting compact and fairing grain contours. Based on the achievement of closed raw con-tours of ceramic composite grains by using wavelet and level set, an adaptive method is adopted for the polygonal approximation of the digitized raw contours. Instead of setting a fixed length of support region in advance, the novel method computes the suitable length of support region for each point to find the best es-timated curvature. The dominant points are identified as the points with local maximum estimated curvatures. Periodic closed B-spline approximation is used to find the most compact B-spline grain boundary contours within the given tolerance. A flexible distance selection approach is adopted to obtain the common knot vector of serial contours consisting of less knots that contain enough degrees of freedom to guarantee the existence of a B-spline curve interpolating each contour. Finally, a B-spline surface interpolating the serial contours is generated via B-spline surface skinning. |
| 收稿时间： | 24 August 2005 |
| 修稿时间： | 13 October 2006 |
On monolithic stability and reinforcement analysis of high arch dams |
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| Authors: | Yang Qiang Chen YingRu Liu YaoRu |
| Affiliation: | 1. Shandong Key Laboratory of Engineering Ceramics, Shandong University, Jinan 250061, China 2. Shandong Key Laboratory of Engineering Ceramics, Shandong University, Jinan 250061, China; School of Materials, Ocean University of China, Qingdao 266003, China 3. State Key Laboratory of Advanced Technology for Materials Synthesis and Processing, Wuhan University of Science and Technology, Wuhan 430070, China |
| Abstract: | Three-dimension reconstruction from serial sections has been used in the last decade to obtain information concerning three-dimensional microstructural ge-ometry. One of the crucial steps of three-dimension reconstruction is getting compact and fairing grain contours. Based on the achievement of closed raw con-tours of ceramic composite grains by using wavelet and level set, an adaptive method is adopted for the polygonal approximation of the digitized raw contours. Instead of setting a fixed length of support region in advance, the novel method computes the suitable length of support region for each point to find the best es-timated curvature. The dominant points are identified as the points with local maximum estimated curvatures. Periodic closed B-spline approximation is used to find the most compact B-spline grain boundary contours within the given tolerance. A flexible distance selection approach is adopted to obtain the common knot vector of serial contours consisting of less knots that contain enough degrees of freedom to guarantee the existence of a B-spline curve interpolating each contour. Finally, a B-spline surface interpolating the serial contours is generated via B-spline surface skinning. |
| Keywords: | composite B-spline dominant points control points grain contour |
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