Method for smoothing boundaries of geometrical figures using...

Data processing: structural design – modeling – simulation – and em – Modeling by mathematical expression

Reexamination Certificate

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Reexamination Certificate

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10093401

ABSTRACT:
The invention relates to a boundary smoothing method of a geometrical figure using a terminal in which a smoothing operation on the boundary of the given geometrical figure is defined using sweep and unsweep operation in a process for processing the boundary of the geometrical figure using CAD system or graphic tool, thereby computing and processing the boundary at a high speed with good performance the present invention provides a boundary smoothing method of a geometrical figure that is an important geometry operation, using a terminal. The boundaries of the geometrical figure are smoothed by using the sweep and unsweep operation without a complicated mathematical operation on the boundaries of the geometrical figure, and without being subject to a step of removing a self-cross or intercross. This method allows a user to designate and control an application region of the smoothing operation and a smoothing degree. Also, the method of the present invention can be easily realized by software. Since the realized software has a high performance, if it is combined with the current CAD system, graphic tool or the like, more enhanced effect can be obtained.

REFERENCES:
patent: 2001-58236 (2001-07-01), None
Snoeyink et al.; Sweeping arrangements of curves; Annual Proc. Comp. Geometry; pp. 354-363; 1989.
Edelsbrunner et al.; Topologically sweeping an arrangement; Annual Proc. Comp. Geometry; pp. 389-403; 1986.
Joo-Haeng Lee, et al.; Polygonal boundary approximation for a 2D general sweep based on envelope and boolean operations; Visual Computer 2000; p. 208-240.

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