图学学报
• 几何设计与计算 • 上一篇 下一篇
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摘要: :论文系统地提出了构造回转曲面的可展切曲面及它们间映射分析的理论与 方法,建立了回转曲面可展切柱面和可展切锥面的数学模型以及曲面间的映射关系。根据回 转曲面及其可展切曲面间微分长度比的理论分析,推出了映射中极值映射曲线和等距映射曲 线的微分方程,通过整体和局部的变形分析,可以准确地掌握回转曲面与其可展切曲面间映 射中的变形情况。
关键词: 几何计算, 回转曲面, 可展切曲面, 映射分析
Abstract: The general theory and method to construct the developable tangent curved surface of rotary surface and mapping analysis between them are put forward systematically, the mathematical model and mapping relationship of the developable tangent cylinder and developable tangent cone of rotary surface are established. The differential equations of the extreme value mapping curve and equidistant mapping curve are put forward according to the theory of differential length ratio between the rotary surface and its developable tangent curved surface. The deformation of mapping will be grasped accurately by the whole and local deformation analysis.
Key words: geometry calculation, rotary surface, developable tangent curved surface; mapping analysis
毛 昕, 杨静林, 马明旭. 回转曲面的可展切曲面[J]. 图学学报.
Mao Xin, Yang Jinglin, Ma Mingxu. Developable Tangent Surface of Rotary Surface[J]. Journal of Graphics.
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http://www.txxb.com.cn/CN/Y2013/V34/I2/65