[1] Xiang Linqing, Ma Peisun, Xu Jianbo, Gao Xueguan, et al. Positioning planning of high-intensity-focused ultrasoundsurgery platform using Bezier curve [J]. Journal of Southeast University (English Edition), 2004, 20 (3): 332-340. [doi:10.3969/j.issn.1003-7985.2004.03.014]
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Positioning planning of high-intensity-focused ultrasoundsurgery platform using Bezier curve(
)
高强度聚焦超声手术平台的Bezier曲线定位规划
)Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]
- Volumn:
- 20
- Issue:
- 2004 3
- Page:
- 332-340
- Research Field:
- Automation
- Publishing date:
- 2004-09-30
Info
- Title:
- Positioning planning of high-intensity-focused ultrasoundsurgery platform using Bezier curve
- 高强度聚焦超声手术平台的Bezier曲线定位规划
- Author(s):
- Xiang Linqing; Ma Peisun; Xu Jianbo; Gao Xueguan
- Institute of Robotics, Shanghai Jiaotong University, Shanghai 200030, China
- Keywords:
- positioning planning; workspace; key configuration; high-intensity-focused ultrasound(HIFU); Bezier curve; continuity
- PACS:
- O327
- DOI:
- 10.3969/j.issn.1003-7985.2004.03.014
- Abstract:
- A positioning volume ellipsoid method is proposed to represent tumor volume in the workspace of a high-intensity-focused ultrasound(HIFU)surgery platform during the platform’s positioning motion. To this simplified tumor model a nearest neighbor search method is used to determine intermediate configuration and goal configuration, which the treatment head and ultrasound focus must pass in their localization to target volume. Based on the decided configurations, the continuity condition of combined Bezier curve in Euclidean space and De Casteljau algorithm on Lie group SO(3)are integrated to construct a combined Bezier positioning path of C2 continuity at junctional configuration, and an illustration of different positioning path planning is analyzed in detail based on a liver tumor case.
- 提出了一种定位区域球方法来表示高强度聚焦超声手术平台在定位运动时肿瘤在其工作空间中的位置和姿态. 针对该简化肿瘤模型, 使用最近邻近查询方法确定了治疗头和超声焦点在定位到肿瘤目标过程中必须经过的中间位姿和目标位姿. 根据确定的位姿, 把组合Bezier曲线的连续条件和SO(3)的De Casteljau算法结合, 构造出了一条在衔接位姿C2连续的组合Bezier曲线路径用于定位, 并且根据一例肝脏肿瘤病例对各种连续路径作了详细分析.
References:
[1] Hill C R, Rivens I, Vaughan M G. Lesion development in focused ultrasound surgery: a general model [J]. Ultrasound Med Biol, 1994, 20(3): 259-269.
[2] Davies B L, Chauhan S, Lowe M J. A robotic approach to HIFU based neurosurgery [A]. In: MICCAI [C]. Cambridge, 1998. 386-396.
[3] Horsch Thomas, Juttler Bert. Cartesian spline interpolation for industrial robot [J]. Computer Aided Design, 1998, 30(3): 217-224.
[4] Crouch Peter, Kun G. The De Casteljau algorithm on Lie group and sphere [J]. Journal of Dynamical and Control, 1999, 15(3): 397-429.
[5] Jouaneh Musa K, Wang Zhixiao, Dornfel David A. Trajectory planning for coordinated motion of a robot and a positioning table — Ⅰ: path specification [J]. IEEE Transactions on Robotics and Automation, 1990, 6(6): 735-745.
[6] Jiang Xinsong. An introduction to robotics [M]. Shenyang: Liaoning Science and Technology Press, 1994. 23-87.(in Chinese).
[7] Nene S A, Nayar S K. A simple algorithm for nearest neighbor search in high dimensions [J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1997, 19(9): 989-1003.
[8] Murray Richard M, Li Zexiang, Sastry S Shankar. A mathematical introduction to robotic manipulation [M]. New York: CPC Press, 1994. 19-146.
[9] Piegl Les, Tiller Wayne. The NURBS book[M]. Berlin, New York: Springer, 1997. 1-34.
[10] Hasegawa-Johnson Mark, Cha Jul Setsu, Haker Katherine. CTMRedit: a Matlab-based tool for segmenting and interpolating MRI and CT images in three orthogonal planes [A]. In: Proceedings of 1st Joint BMES/EMBS[C]. Atlanta, GA, USA, 1999. 1170.
Memo
- Memo:
- Biographies: Xiang Linqing(1974—), male, graduate; Ma Peisun(corresponding author), male, professor, psma@sjtu.edu.cn.