基于三周期极小曲面的三维打印全接触鞋垫建模方法

计算机与现代化 ›› 2021, Vol. 0 ›› Issue (05): 13-19.

基于三周期极小曲面的三维打印全接触鞋垫建模方法

（河海大学信息学部物联网工程学院,江苏常州213022）

出版日期:2021-06-03 发布日期:2021-06-03
作者简介:江超群（1996—），男，江苏常州人，硕士研究生，研究方向：计算机图形学，E-mail: cq.jiang@outlook.com；童晶（1981—），男，副教授，博士，研究方向：计算机图形学，虚拟现实，三维打印，E-mail: tongjing.cn@gmail.com；郭明灯（1994—），男，硕士研究生，研究方向:计算机图形学，E-mail: 659014758@qq.com；陆荣杰（1994—），男，硕士研究生，研究方向：计算机图形学，E-mail: 742775244@qq.com；陈正鸣（1965—），男，教授，博士生导师，博士，研究方向:信息的获取与处理,智能信息处理理论与技术,CAD&CG,数字化设计与制造，E-mail: zchen65@hotmail.com。
基金资助:
国家自然科学基金资助项目（61772172）

Modeling Method of 3D Printing Full Contact Insole Based on Triply Periodic Minimal Surface

（College of the IOT Engineering, Information Department, Hohai University, Changzhou 213022, China）

Online:2021-06-03 Published:2021-06-03

摘要/Abstract

摘要： 全接触鞋垫可以降低足底峰值压力来改善和预防糖尿病足群体的神经性溃疡症状，传统全接触鞋垫设计方法操作复杂，本文提出一种新颖的基于三周期极小曲面（TPMS）的三维打印全接触鞋垫建模方法。通过数据采集、全接触模型构建、模型多孔化3个步骤构建基于TPMS结构的全接触鞋垫，使用三维打印技术生产。首先采集用户脚部模型和目标鞋垫模型。然后通过拉普拉斯变形算法将预制鞋垫模型的下边缘逼近扫描鞋垫，并调整预制鞋垫模型上表面到接近脚底曲面构造出全接触鞋垫模型。最后使用基于Marching Cubes方法的网格重建方法将全接触鞋垫重建为基于TPMS结构的网格模型。实验验证了本文提出的方法可以设计出具有减轻足底峰值压力能力的全接触鞋垫。

关键词: 三周期极小曲面, 全接触鞋垫, 三维打印, 三维建模

Abstract: The full-contact insole can reduce the peak plantar pressure to improve and prevent neurotic ulcer symptoms in diabetic foot. The traditional full-contact insole design method is complex to operate. In this paper, a novel 3D printing modeling method for full-contact insole is proposed based on triply periodic minimal surface （TPMS）. Through three steps of data collection, full-contact model construction and model porousness, a full-contact insole based on TPMS structure is constructed and produced using 3D printing technology. First, the user foot model and the scan insole model are collected. Then the lower boundary of the pre-designed insole model is approximated to the scan insole model by Laplace transform algorithm, and the full-contact insole model is constructed by adjusting the upper surface of the pre-designed insole model to the bottom of foot. Finally, the Marching Cubes mesh reconstruction method is applied to reconstruct the full-contact insole into a TPMS structure based mesh model. The experiment verifies that the method proposed in this paper can design a full-contact insole with the ability to reduce the peak pressure of the sole.

Key words: triply periodic minimal surface, full-contact insole, 3D printing, 3D modeling

江超群, 童晶, 郭明灯, 陆荣杰, 陈正鸣. 基于三周期极小曲面的三维打印全接触鞋垫建模方法[J]. 计算机与现代化, 2021, 0(05): 13-19.

JIANG Chao-qun, TONG Jing, GUO Ming-deng, LU Rong-jie, CHEN Zheng-ming. Modeling Method of 3D Printing Full Contact Insole Based on Triply Periodic Minimal Surface[J]. Computer and Modernization, 2021, 0(05): 13-19.

参考文献［23］

［1］	中华医学会糖尿病学分会. 中国2型糖尿病防治指南（2017年版）［J］. 中国实用内科杂志, 2018,38（4）:292-344.
［2］	任韦燕,蒲放,樊瑜波. 糖尿病足部辅具研究进展［J］. 科技导报, 2019,37（22）:69-77.
［3］	付宏远. 糖尿病足鞋垫研究进展［J］. 现代医学与健康研究电子杂志, 2018,2（9）:13-14.
［4］	胡晓昀,钱培芬. 糖尿病鞋和鞋垫研制的进展［J］. 解放军护理杂志, 2009,26（1）:30-31.
［5］	曹萍,吴小高. 3D打印技术在矫形鞋垫中的应用进展［J］. 中国康复理论与实践, 2015,21（7）:753-756.
［6］	GANESAN S, RANGANATHAN R. Design and development of customised split insole using additive manufacturing technique［J］. International Journal of Rapid Manufacturing, 2018,7（4）:295-309.
［7］	MA Z, LIN J, XU X, et al. Design and 3D printing of adjustable modulus porous structures for customized diabetic foot insoles［J］. International Journal of Lightweight Materials and Manufacture, 2019,2（1）:57-63.
［8］	TANG L, WANG L, BAO W, et al. Functional gradient structural design of customized diabetic insoles［J］. Journal of the Mechanical Behavior of Biomedical Materials, 2019,94:279-287.
［9］	陶晓斌. 基于RGB-D数据的物体三维建模及鞋垫定制应用［D］. 武汉:华中科技大学, 2017.
［10］	刘丽. 全接触式鞋垫的个性化设计与定制系统［D］. 南京:河海大学, 2019.
［11］	王妍,李卓. 基于极小曲面造型结构的设计应用研究［J］. 设计, 2019,32（17）:29-31.
［12］	YUAN L, DING S, WEN C. Additive manufacturing technology for porous metal implant applications and triple minimal surface structures: A review［J］. Bioactive Materials, 2019,4:56-70.
［13］	GANDY P J F, BARDHAN S, MACKAY A L, et al. Nodal surface approximations to the P, G, D and I-WP triply periodic minimal surfaces［J］. Chemical Physics Letters, 2001,336（3-4）:187-195.
［14］	LORENSEN W E, CLINE H E. Marching cubes: A high resolution 3D surface construction algorithm［J］. ACM Siggraph Computer Graphics, 1987,21（4）:163-169.
［15］	YOO D J. Computer-aided porous scaffold design for tissue engineering using triply periodic minimal surfaces［J］. International Journal of Precision Engineering and Manufacturing, 2011,12（1）:61-71.
［16］	YOO D J. Heterogeneous porous scaffold design for tissue engineering using triply periodic minimal surfaces［J］. International Journal of Precision Engineering and Manufacturing, 2012,13（4）:527-537.
［17］	ZHANG Y, BAJAJ C. Adaptive and quality quadrilateral/hexahedral meshing from volumetric data［J］. Computer Methods in Applied Mechanics and Engineering, 2006,195（9-12）:942-960.
［18］	江振彦. 极小曲面的参数化生成与设计［D］. 南京:南京大学, 2018.
［19］	王清辉,夏刚,徐志佳,等. 面向组织工程的松质骨微观结构TPMS建模方法［J］. 计算机辅助设计与图形学学报, 2016,28（11）:1949-1956.
［20］	SORKINE O, COHEN-OR D, LIPMAN Y, et al. Laplacian surface editing［C］//Proceedings of the 2004 Eurographics/ACM SIGGRAPH Symposium on Geometry Processing. 2004:175-184.
［21］	CARLBOM I, CHAKRAVARTY I, VANDERSCHEL D. A hierarchical data structure for representing the spatial decomposition of 3D objects［J］. IEEE Computer Graphics and Applications, 1985,15（4）:24-31.
［22］	VOLLMER J, MENCL R, MUELLER H. Improved Laplacian smoothing of noisy surface meshes［J］. Computer Graphics Forum, 1999,18（3）:131-138.
［23］	BLOOMENTHAL J. Polygonization of Implicit Surfaces［R］. Xerox Corporation Palo Alto Research Center, 1988.

[1]	唐亚辉1，赵宏林1，常迎春2. 基于Unity3D平台的篮球游戏三维动漫设计与实现[J]. 计算机与现代化, 2015, 0(2): 73-.
[2]	童晶，陈正鸣，刘景，徐昕. 低成本个性化制造原型系统关键技术[J]. 计算机与现代化, 2014, 0(2): 98-101.
[3]	房正华;赵静;杨新艳. 智能交通系统中的阴影检测技术[J]. 计算机与现代化, 2010, 1(5): 76-78,8.