Method of finding the surface intersections and the shortest dis

Details Method of finding the surface intersections and the shortest dis Method of finding the surface intersections and the shortest dis

1988-11-21

1991-01-29

Smith, Jerry

Boots, shoes, and leggings

36447429, G06F 1546

Patent

active

049891529

ABSTRACT:
To find the intersection curves of the two given surfaces, is required in many operation such as NC machining and solid geometric modeling surface creation. Normally, the intersection of two surfaces is not unique. In order to generate a proper tool path or to create a correct boundary surface, all the intersection curves must be found.
A new method of finding all the intersection curves of two surfaces has been developed. This new method is based on the use of a plane vector field VF induced by the two given surfaces. The system constructs the 2D vector field VF and uses the integral curves of VF to locate the first intersection curve SC. After the first intersection curve has been found, the system locates all the initial points on SC. Then, it follows the connecting curves of the initial points to locate the other intersection curves. Furthermore, the initial points on the newly found curves will lead the system to other intersection curves. By following all the connecting curves, the system will find them all. Once all the intersection curves are found, the system is able to select the desired tool path or construct the correct surface.
Additionally, the absolute distance d between two surfaces can be calculated by using the same method. The value d is used for checking the clearance of moving a cutter along a tool path.

REFERENCES:
patent: 4677576 (1987-06-01), Berlin, Jr. et al.
patent: 4700398 (1987-10-01), Mizuno et al.
patent: 4755927 (1988-07-01), Kishi et al.
patent: 4764878 (1988-08-01), Tanaka et al.
patent: 4821214 (1989-04-01), Sederberg
patent: 4851986 (1989-07-01), Seki et al.
patent: 4855927 (1989-08-01), Seki et al.

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