Computer graphics processing and selective visual display system – Computer graphics processing – Shape generating
Reexamination Certificate
2005-07-12
2005-07-12
Bella, Matthew C. (Department: 2676)
Computer graphics processing and selective visual display system
Computer graphics processing
Shape generating
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.
Baker & Botts LLP
Bella Matthew C.
Sajous Wesner
UGS Corp.
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