Algorithm for finding plane & free-form surface intersection curve based on subdivision of quadrilateral mesh parameters

LI Hui-ying， CHEN Liang-ji
（School of Mechatronics Engineering， Zhengzhou Institute of Aeronautical Industry Management，
Zhengzhou 450015， China）

Abstract： In order to find accurate intersection between a plane and free-form surface，a model of quadrilateral parametric facet structure was presented，intersection state of the model and a plane can be gotten from line-plane intersecting state. When calculating intersection points，the surface was firstly step-by-step subdivided as facets mentioned above and to facets with variant state，certainly，treating is different. In the end，a chained list of an intersection curve can be obtained and the intersection of plane-surface can be gotten by using a spline fitting method. It is verified through the computation example that the proposed method is well-convergence property and high-accuracy and can be used in actual intersection calculating.
Key words： free-form surface； intersection； quadrilateral facet； algorithm