摘要
针对管道曲面设计中如何构造过渡曲面问题,提出了一种隐式曲面与参数曲面间的混合曲面设计方法.对于给定的隐式曲面与参数曲面,存在着等距曲面族,每一对相关的曲面均产生交线,混合曲面即为一系列相关曲面交线的集合.采用该方法能更加方便有效地调整混合曲面的范围与形状,并能满足工程要求.文章还证明了混合曲面与隐式曲面及参数曲面之间为G1-连续.
This paper derives a method for blending an implicit with a parametric surface. For given surfaces, there are corresponding pencils of the offset surfaces. A curve is formed by intersecting of every pair of the correlation offset surfaces. The blending surface is defined as a collection of intersection curves of correlated pairs of surfaces. By using the method, it is easier and more efficient to adjust the shape and range of a blending surface, and it can satisfy the needs of the engineering. In this paper, it is also proved mathematically that one can achieve G^1-eontinuous between the blending surface and the given surface.
出处
《扬州大学学报（自然科学版）》
CAS
CSCD
2006年第2期35-38,共4页
Journal of Yangzhou University：Natural Science Edition
关键词
管道曲面
隐式曲面
参数曲面
混合曲面
G1-连续
pipe surface
implicit surface
parametric surface
blending surface
G^1-continuous
