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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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| 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.
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| Key words：CADshoe-last customizingcharacteristic NURBS curvearc-length constrained deformationcomfortable matching rule |
| 收稿日期: 2013-08-18 出版日期: 2015-04-16 |
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| 基金资助:国家自然科学基金资助项目 (11274199) |
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