Method and system for computing a transverse derivative...

Computer graphics processing and selective visual display system – Computer graphics processing – Shape generating

Reexamination Certificate

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C345S421000, C345S586000, C345S643000

Reexamination Certificate

active

06917361

ABSTRACT:
According to one embodiment of the invention, a computerized method for computing a transversal derivative field along a curve on a surface includes receiving data defining the surface, the surface represented in terms of parameters u and v as S(u,v), and receiving data defining the curve, the curve represented in terms of a parameter t as c(t). The method also includes receiving a number equal to N constraint conditions for the derivative field, wherein N is a positive integer and determining the transversal derivative L(t) field according to the formulaL⁡(t)=∂S(u⁡(t),v⁡(t))∂w,where i is an index identifying a particular one of N numbers of constraint conditions and L(ti) is the value of the transversal derivative field at the ith constraint condition and w is a scalar function of u and v that satisfies∂S(u⁡(ti),v⁡(ti))∂w=L⁡(ti).

REFERENCES:
patent: 6483518 (2002-11-01), Perry et al.
patent: 6591004 (2003-07-01), VanEssen et al.
patent: 6718291 (2004-04-01), Shapiro et al.
“NURB Curves: A Guide for the Uninitiated,”The Apple Technical Journal, pp 1-21; http://www.devworld.apple.com/dev/techsupport/develop/issue25/schneider.html, Jun. 1, 2002.

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