| 多个函数定义的空间凸体高阶磨光 |
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| 引用本文： | 万朝燕,兆文忠,曹家琏. 多个函数定义的空间凸体高阶磨光[J]. 计算机辅助设计与图形学学报, 2003, 15(3): 324-328 |
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| 作者姓名： | 万朝燕 兆文忠 曹家琏 |
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| 作者单位： | 1. 大连铁道学院机械工程系,大连,116028
2. 大连铁道学院电气信息工程分院,大连,116028 |
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| 基金项目： | 国家“八六三”高技术研究发展计划 ( 2 0 0 1AA411110 )资助 |
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| 摘 要： | 基于KS函数的凝聚算法，提出一种对多个函数定义的空间凸体的高阶磨光方法。该方法利用映射反演技术，将KS函数的凝聚算法推广至球坐标系，从而实现了仅用一个拟合函数表达，拟合精度仅由一个参数控制的多函数空间凸体光顺拟合图形的绘制。图形算例表明，该拟合方法具有明确的及潜在的应用价值。
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| 关 键 词： | KS函数 空间凸体 高阶磨光 映射反演 |
| 修稿时间： | 2002-06-10 |
Higher Order Smooth Fitting for SD Space Convex Body by Multiple Functions |
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| Wan Chaoyan ) Zhao Wenzhong ) Cao Jialian ) ). Higher Order Smooth Fitting for SD Space Convex Body by Multiple Functions[J]. Journal of Computer-Aided Design & Computer Graphics, 2003, 15(3): 324-328 |
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| Authors: | Wan Chaoyan ) Zhao Wenzhong ) Cao Jialian ) ) |
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| Affiliation: | Wan Chaoyan 1) Zhao Wenzhong 1) Cao Jialian 2) 1) |
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| Abstract: | The presented approach extends Kreisselmeier-Steinhauser function to sphere coordinate system by relation mapping inverse skill. The smooth fitting figure of 3-D space convex body is mapped by multiple functions. This figure is expressed by a fitting function and the fitting precision is controlled only by a single parameter. The obvious and latent applications of presented method is illustrated by examples. |
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| Keywords: | KS function 3D space convex body higher order smooth fitting relation mapping inverse |
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