Repairing the cerebral vascular through blending Ball B-Spline curves with G2 continuity
Repairing the cerebral vascular through blending Ball B-Spline curves with G2 continuity
复制标题
球B样条曲线与G2连续性融合修复脑血管
DOI：
10.1016/j.neucom.2015.08.028
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发表时间：
2016-01
期刊：
影响因子：
6
通讯作者：
Mingquan Zhou
中科院分区：
文献类型：
--
作者：
Juncheng Shen;Ting Zhang;Xiao Mou;Mingquan Zhou
脑血管形态分析对脑血管疾病的诊断和病理鉴定具有重要意义。但由于分割算法的局限性，很难获得完整的脑血管体积数据。因此，为医学图像生成的血管模型的三角网格可能会出现许多缝隙。为了从飞行时间(TOF)磁共振血管成像(MRA)数据中修复脑血管结构，提出了一种具有G2连续性的Ball B-Spline曲线的扩展算法。球B样条曲线在表示三维管状器官方面有其明显的优势。延伸部采用球状贝塞尔曲线段，节点光滑度用G2-连续性来描述。通过分别最小化中心曲线能量目标函数和半径函数能量目标函数来实现延长球Bezier曲线段的光顺。通过解夹算法计算出新的控制球来表示整个延伸球B-Spline曲线。实验结果证明了该算法的有效性。实验结果表明，该方法具有较好的融合效果，尤其是对小血管的融合效果更佳。
The analysis of cerebrovascular shape is important for the diagnose and pathologic identification. But as the limitation of the segmentation algorithm, the complete cerebrovascular volume data are difficult to obtain. So the triangle mesh of the vessel model generated for the medical images may appear many gaps. In the paper, we present a extension algorithm for Ball B-Spline curve withG2continuity to repair the cerebrovascular structure from time-of-flight (TOF) magnetic resonance angiography (MRA) data. Ball B-Spline curve has its distinct advantages in representing a 3D tube like organs. A ball Bezier segment is used to construct the extending part andG2-continuity is applied to describe the smoothness at the joints. Fairness of the extending ball Bezier curve segment is achieved by minimizing energy objective functions for the center curve and the radius function separately. New control balls are computed by unclamping algorithm to represent the whole extended ball B-Spline curve. The experimental results demonstrate the effectiveness of our algorithm. The final results show that the proposed method provides good blending result, especially for those blood vessels of small size.
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DOI：
10.1007/pl00013398
发表时间：
2001
期刊：
The Visual Computer
影响因子：
--
作者：
E. Hartmann
通讯作者：
E. Hartmann
DOI：
--
发表时间：
2002
期刊：
--
影响因子：
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作者：
J. Vida;Ralph Robert Martin;T. Várady
通讯作者：
J. Vida;Ralph Robert Martin;T. Várady
DOI：
10.1109/cadcg.2007.4407920
发表时间：
2007
期刊：
2007 10th IEEE International Conference on Computer-Aided Design and Computer Graphics
影响因子：
--
作者：
Zhongke Wu;S. H. Soon;Mingquan Zhou
通讯作者：
Zhongke Wu;S. H. Soon;Mingquan Zhou
DOI：
10.1109/icip.2006.312770
发表时间：
2006-10
期刊：
2006 International Conference on Image Processing
影响因子：
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作者：
L. Florez-Valencia;J. Azencot;Fabrice Vincent;M. Orkisz;I. Magnin
通讯作者：
L. Florez-Valencia;J. Azencot;Fabrice Vincent;M. Orkisz;I. Magnin
DOI：
10.1109/cadcg.2007.4407854
发表时间：
2007-12
期刊：
2007 10th IEEE International Conference on Computer-Aided Design and Computer Graphics
影响因子：
--
作者：
Zhongke Wu;S. H. Soon;Mingquan Zhou
通讯作者：
Zhongke Wu;S. H. Soon;Mingquan Zhou