Automatic preoperative planning algorithm for three-dimensional wedge osteotomy of radius

doi:10.11772/j.issn.1001-9081.2022111716

Journal of Computer Applications ›› 2024, Vol. 44 ›› Issue (2): 588-594.DOI: 10.11772/j.issn.1001-9081.2022111716

Special Issue: 多媒体计算与计算机仿真

• Multimedia computing and computer simulation • Previous Articles Next Articles

Automatic preoperative planning algorithm for three-dimensional wedge osteotomy of radius

Zhiliang SHI¹, Shiqi LIAO¹, Zibo GAN¹, Shaobo ZHU²()

^1.School of Mechanical and Electronic Engineering，Wuhan University of Technology，Wuhan Hubei 430070，China
^2.Department of Orthopedics，Zhongnan Hospital of Wuhan University，Wuhan Hubei 430071，China

Received:2022-11-21 Revised:2023-09-08 Accepted:2023-09-28 Online:2024-02-22 Published:2024-02-10
Contact: Shaobo ZHU
About author:SHI Zhiliang， born in 1974， Ph. D.， associate professor. His research interests include porous structure design and optimization， orthopedic implant design， 3D printing for medicine.
LIAO Shiqi， born in 1999， M. S. candidate. Her research interests include computer aided design.
GAN Zibo， born in 1997， M. S. candidate. His research interests include computer aided design.
Supported by:
National Key Research and Development Program of Hubei Province(2021BCA106)

三维桡骨成角楔形截骨术前自动规划算法

石志良¹, 廖诗旗¹, 甘梓博¹, 祝少博²()

^1.武汉理工大学机电工程学院，武汉 430070
^2.武汉大学中南医院骨科，武汉 430071

通讯作者: 祝少博
作者简介:石志良（1974—），男，湖北武汉人，副教授，博士，主要研究方向：多孔结构设计及优化、骨科植入物设计、面向医学的3D打印
廖诗旗（1999—），女，贵州安顺人，硕士研究生，主要研究方向：计算机辅助设计
甘梓博（1997—），男，湖北武汉人，硕士研究生，主要研究方向：计算机辅助设计；
基金资助:
湖北省重点研发计划项目(2021BCA106)

Abstract

Abstract:

For radial angulation deformity， it is difficult to accurately locate the osteotomy position only by experience， thus a three-Dimensional （3D） automatic planning algorithm for radial angulation wedge osteotomy was proposed to accurately determine the specific osteotomy position and calculate the best reset angle. Firstly， the contralateral radius mirror model with compensation difference was used as the reference template to calculate the bone deformity area. Secondly， the distal radius joint was registered based on the weight of the joint anatomical area to create the rotation axis direction vector， and the deformity contour curve of the XOZ plane was solved by the cubic spline interpolation method to determine the orientation of the rotation axis. Finally， the single-objective optimization algorithm was used to optimize the iteration， calculate the optimal osteotomy position and reset angle， and automatically generate the preoperative plan of wedge osteotomy. Six cases of radial angulation were selected to compare the registration accuracy of the joint anatomical area with the surgeon’s manual osteotomy planning method in 3D space as the experimental control group. Experimental results show that compared with manual osteotomy and reset by surgeons proposed by Miyake et al.， the Root Mean Square Error （RMSE） of the registration of the joint anatomical area obtained by the proposed algorithm is decreased by 0.09 to 0.42 mm； compared with the automatic planning method proposed by Fürnstahl et al.， the proposed algorithm can clarify the type of wedge and has higher clinical feasibility.

Key words: computer aided design, image registration, three-dimensional preoperative planning, wedge osteotomy, distal radius

摘要：

针对桡骨成角畸形，仅凭经验很难找到准确的截骨位置，为此提出一种三维（3D）桡骨成角楔形截骨术前自动规划算法，以精确定位具体截骨位置并计算出最佳复位角度。首先，以补偿差异的对侧桡骨镜像模型为参考模板，计算骨畸形区域；其次，基于关节解剖区域的权重配准桡骨远端关节，创建旋转轴方向向量，通过三次样条插值法求解XOZ平面的畸形轮廓曲线，确定复位旋转轴方位；最后，利用单目标优化算法优化迭代，计算最优的截骨位置和复位角度，自动生成楔形截骨矫形术前计划。选择6例桡骨成角实例，以外科医生在三维空间手动截骨矫形规划方法作为实验对照组，对比关节解剖区域的配准精度。仿真结果表明，与Miyake等提出的外科医生手动截骨复位方法相比，所提算法获得的关节解剖区域的配准均方根误差（RMSE）减小0.09~0.42 mm；与Fürnstahl等提出的自动规划方法相比，所提算法可明确楔形类型，临床可行性更高。

关键词: 计算机辅助设计, 图像配准, 三维术前规划, 楔形截骨术, 桡骨远端

CLC Number:

TP391.7

Zhiliang SHI, Shiqi LIAO, Zibo GAN, Shaobo ZHU. Automatic preoperative planning algorithm for three-dimensional wedge osteotomy of radius[J]. Journal of Computer Applications, 2024, 44(2): 588-594.

石志良, 廖诗旗, 甘梓博, 祝少博. 三维桡骨成角楔形截骨术前自动规划算法[J]. 《计算机应用》唯一官方网站, 2024, 44(2): 588-594.

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解剖点序号	解剖点名称	权重值
1	乙状切口背侧远端边缘	0.18
2	掌侧乙状结肠切迹远端边缘	0.18
3	桡骨远端茎突中心	0.18
4	舟突中心	0.18
5	月骨小关节中心	0.18
6	李斯特的结节	0.05
7	桡骨中心的分水岭线	0.05

解剖点序号	解剖点名称	权重值
1	乙状切口背侧远端边缘	0.18
2	掌侧乙状结肠切迹远端边缘	0.18
3	桡骨远端茎突中心	0.18
4	舟突中心	0.18
5	月骨小关节中心	0.18
6	李斯特的结节	0.05
7	桡骨中心的分水岭线	0.05

案例	效果	矫正角度/（°）	RMSE/mm
案例	效果	矫正角度/（°）	矫正前	矫正后
Case 1	A	14.15	12.724 4	0.579 8
	B	14.98		0.184 3
	C	16.24		0.157 9
Case 2	A	12.90	4.710 9	0.936 0
	B	15.98		0.233 9
	C	14.64		0.740 6
Case 3	A	5.91	5.491 1	0.521 9
	B	7.00		0.189 6
	C	6.28		0.428 9
Case 4	A	9.56	7.932 7	0.651 7
	B	10.00		0.187 8
	C	9.19		0.399 1

案例	效果	矫正角度/（°）	RMSE/mm
案例	效果	矫正角度/（°）	矫正前	矫正后
Case 1	A	14.15	12.724 4	0.579 8
	B	14.98		0.184 3
	C	16.24		0.157 9
Case 2	A	12.90	4.710 9	0.936 0
	B	15.98		0.233 9
	C	14.64		0.740 6
Case 3	A	5.91	5.491 1	0.521 9
	B	7.00		0.189 6
	C	6.28		0.428 9
Case 4	A	9.56	7.932 7	0.651 7
	B	10.00		0.187 8
	C	9.19		0.399 1

案例	效果	矫正角度/（°）	RMSE/mm
案例	效果	矫正角度/（°）	矫正前	矫正后
Case 5	A	7.18	6.303 1	0.589 2
	B	8.00		0.306 6
	C	7.54		0.415 6
Case 6	A	13.42	11.829 2	1.091 7
	B	15.00		0.238 7
	C	14.87		0.869 9

Automatic preoperative planning algorithm for three-dimensional wedge osteotomy of radius

三维桡骨成角楔形截骨术前自动规划算法

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