Method and apparatus for approximating an arbitrary shape...

Details Method and apparatus for approximating an arbitrary shape... Method and apparatus for approximating an arbitrary shape...

2007-10-30

2007-10-30

Tung, Kee M. (Department: 2628)

Computer graphics processing and selective visual display system

Computer graphics processing

Shape generating

C345S467000

Reexamination Certificate

active

11020967

ABSTRACT:
One embodiment of the present invention provides a system that approximates a shape of an object with a closed Bezier curve. During operation, the system receives a specification for the shape of the object. The system also produces an objective function for the area of a closed Bezier curve, wherein the objective function expresses the area of the closed Bezier curve as a function of the locations of control points that define the closed Bezier curve. Next, the system uses the specification for the shape of the object to generate exterior constraints for the closed Bezier curve, wherein the exterior constraints ensure that the closed Bezier curve remains on the exterior of the object. Finally, the system minimizes the area of the closed Bezier curve subject to the exterior constraints to produce a minimum-area closed Bezier curve on the exterior of the object which encloses the shape of the object.

REFERENCES:
patent: 6678881 (2004-01-01), Graham
patent: 6792071 (2004-09-01), Dewaele

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