Generating an approximation of an arbitrary curve

Details Generating an approximation of an arbitrary curve Generating an approximation of an arbitrary curve

2007-10-23

2007-10-23

Harrison, Chante (Department: 2628)

Computer graphics processing and selective visual display system

Computer graphics processing

Shape generating

C345S441000, C345S418000

Reexamination Certificate

active

11138603

ABSTRACT:
A system and method for generating an approximation of an arbitrary or user-editable curve. One or more controls associated with a control curve are provided, and a user input related to the alteration of the control curve is received. A method to generate an approximation of the control curve, as altered, is performed. The method defines candidate approximations and selects a plurality of those candidates. The method utilizes characteristics of the selected candidates to create new candidate approximations. Optionally, at least a portion of the method is repeated until a candidate approximation acceptably represents the control curve.

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Godenthal, Rony and Bercovier, Michael, “Spline Curve Approximation And Design By Optimal Control Over The Knots Using Genetic Algorithms”, International Congress on Evolutionary Methods for Design, Optimation and Control with Applications to Industrial Problems, 2003, pp. 1-18.

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