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清华大学学报(自然科学版)  2014, Vol. 54 Issue (2): 217-222    
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鞋楦定制CAD系统中NURBS特征曲线的弧长约束变形
任怀艺,王伯雄(),罗秀芝
 
Arc-length constrained deformation of characteristic NURBS curves for customized shoe-last CAD system
Huaiyi REN,Boxiong WANG(),Xiuzhi LUO
State Key Laboratory of Precision Measurement Technology and Instruments, Department of Precision Instrument, Tsinghua University, Beijing 100084, China
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摘要 

为实现无鞋楦数据库的数字化量足制鞋,提出了基于足楦NURBS特征曲线变形的个性化鞋楦定制CAD系统,通过足楦特征曲线在弧长等特征信息约束下变形成新楦特征曲线进行设计定制。建立足楦舒适度匹配规则,根据变形方式、次序及约束情况不同,将特征曲线分为4种类型。给出4种曲线的约束变形技术路线,其中带弧长约束的II型曲线可采用正向、逆向和双向3种变形路线。双向约束变形中,采用改进的顶点替换算法和变参数4点细分算法,引入弧长损失因子和关节链模型,在母版鞋楦基础上对曲线依次进行采样离散、级放、分段、简化、优化变形、插值细分和NURBS拟合,生成定制的鞋楦特征曲线。以跖趾围轮廓线为例进行了双向约束变形试验,弧长改变量为1.0 mm。该系统可在480 s内给出男款鞋楦个性化量足定制结果。结果表明: 该CAD系统精度较高,可实现无鞋楦数据库条件下的量足制鞋,且定制鞋楦的二次设计利用率显著提高。

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任怀艺
王伯雄
罗秀芝
关键词 CAD鞋楦定制NURBS特征曲线弧长约束变形舒适度匹配规则    
Abstract

A customized shoe-last system is developed based on the deformation of characteristic NURBS curves for feet or shoe-lasts to enable customized shoes without a shoe-last database. Deformations of the feet or shoe-lasts characteristic curves are used to make new shoe-lasts with constraints of the arc-lengths. The system uses comfort matching rules between the feet and the shoe-lasts with the characteristic curves divided into four types according to their different deformation ways, orders, and constraints. Deformation roadmaps are then given with forward, reverse and bidirectional deformation roadmaps for the II-type curves with arc-length constraints. The bidirectional deformation uses an improved vertex substitution algorithm and a modified variable-parameter 4-point interpolatory subdivision scheme with a new arc-length loss actor and a rigid joint chain model. Customized shoe-last curves are produced from a mother shoe-last through sampling, grading, sectioning, simplifying, deforming, subdividing, and NURBS fitting. For the metatarsophalangeal contour curve, a bidirectional deformation test gives an arc length change of 1.0 mm. With this system, a man's shoe-last can be customized in less than 480 s to give accurate, practical customized shoes without a shoe-last database. This method greatly increases the redesign for customized shoe-lasts.

Key wordsCAD    shoe-last customizing    characteristic NURBS curve    arc-length constrained deformation    comfortable matching rule
收稿日期: 2013-08-18      出版日期: 2015-04-16
ZTFLH:     
基金资助:国家自然科学基金资助项目 (11274199)
引用本文:   
任怀艺, 王伯雄, 罗秀芝. 鞋楦定制CAD系统中NURBS特征曲线的弧长约束变形[J]. 清华大学学报(自然科学版), 2014, 54(2): 217-222.
Huaiyi REN, Boxiong WANG, Xiuzhi LUO. Arc-length constrained deformation of characteristic NURBS curves for customized shoe-last CAD system. Journal of Tsinghua University(Science and Technology), 2014, 54(2): 217-222.
链接本文:  
http://jst.tsinghuajournals.com/CN/  或          http://jst.tsinghuajournals.com/CN/Y2014/V54/I2/217
  个性化鞋楦定制CAD的技术流程
  特征曲线约束变形的技术流程
  改进的顶点替换算法示意图
  关节链模型的优化变形示意图
  传统变参数4点细分法示意图
  母楦跖趾围简化效果图(本文算法)
  母楦跖趾围简化效果图(顶点替换算法)
  跖趾围优化变形效果图
  新楦跖趾围插值细分效果图
阈值
ζ
点数
n
原折线长
mm
简化后折线长
mm
46 159.8
1.98 31 159.8 159.6
1.98 20 159.5 159.4
1.88 10 158.2 157.8
  跖趾围轮廓线采样简化数据
阈值
l02/mm2
参数
ω
点数
n
原折线长
mm
插值后折线长
mm
10 157.8
500 0.03 13 157.8 157.9
100 0.06 24 158.5 158.8
10 0.06 47 158.8 158.9
  跖趾围轮廓线插值细分数据
  NURBS拟合的跖趾围轮廓曲线及新楦特征曲线图
  个性化定制的男款鞋楦
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