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参数曲面与平面求交的一种新方法 被引量:5

A new method for finding the intersection of parametric surface and plane
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摘要 本文提出了一种新的参数曲面与平面求交算法,基于平面的半空间性质,通过参数域平面的二向线性插值,将求交问题转化为一系列简单的离散、判断、比较、排序等运算,能较好地解决曲面片内的支线不连续和交线丢失问题。算法简便,可靠性好,计算精度高,在NC自动编程中具有广泛的应用场合。 A new algorithm for calculating the intersection curves between a parametric surface anda plane is presented in this paper, Based on the half-space properties of the outhors studiedthe intersection problem with two directional linear interpolation within parametric domain,by which some simple processes,such as scattering,judgement,comparison and sorting,areapplied. This algorithm can efficiently solve the uncontinuity and loss of intersection curves.the Results show that algorithm is reliable,precise and applicable in automatic NC program-ming.
机构地区 浙江大学
出处 《工程图学学报》 CSCD 1995年第2期31-37,共7页 Journal of Engineering Graphics
关键词 参数曲面 平面 计算机图形学 CAD CAM half-space properties, two directional linear interpolation, parametric sur-face plane.
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二级参考文献3

  • 1Gao Shuming,1989年
  • 2Chen J J,Computer Aided Design,1988年,20卷,6期
  • 3Peng Q S,Computer Aided Design,1984年,16卷,4期

同被引文献21

  • 1马翔,周儒荣.自由曲面与平面的一种分割、跟踪求交方法[J].南京航空航天大学学报,1994,26(1):75-79. 被引量:2
  • 2[2]Barnhill R E, Kersey S N. A Marching Method for Parametric Surface/surface Intersection.CAGD,1990(7):257~280
  • 3[3]Abdel-Malek K,Harn-Jou Yeh. On the Determination of Starting Points for Parametric Surface Intersections.CAD,1997,29(1):2~35
  • 4[4]Bajaj C L.Tracing Surface Intersections.CAGD,1988(5):285~307
  • 5[5]Markot R P,Magedson R L.Procedural Method for Evaluating the Intersection Curves of two Parametric Surfaces.CAD,1991,23(6):395~404
  • 6[7]Randy B,David A F.Intersection of Parametric Surface and A Plane.IEEE Computer Graphics & Applications,1984(8):48~51
  • 7张和明,博士学位论文,1995年
  • 8王铭,硕士学位论文,1992年
  • 9ROY U, DASARI R. Implementation of polygonal algorithm for surface-surface intersections [J]. Computers Industry Engineering, 1998,34(2) : 399-412.
  • 10ROTH S D. Ray casting for modeling solid[J]. Computer Graphics & Image Process, 1982,18(2) : 109-144.

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