The patent badge is an abbreviated version of the USPTO patent document. The patent badge does contain a link to the full patent document.

The patent badge is an abbreviated version of the USPTO patent document. The patent badge covers the following: Patent number, Date patent was issued, Date patent was filed, Title of the patent, Applicant, Inventor, Assignee, Attorney firm, Primary examiner, Assistant examiner, CPCs, and Abstract. The patent badge does contain a link to the full patent document (in Adobe Acrobat format, aka pdf). To download or print any patent click here.

Date of Patent:
Jul. 12, 2005

Filed:

Sep. 19, 2002
Applicant:

Ruibin Qu, Ann Arbor, MI (US);

Inventor:

Ruibin Qu, Ann Arbor, MI (US);

Assignee:

UGS Corp., Plano, TX (US);

Attorney:
Primary Examiner:
Assistant Examiner:
Int. Cl.
CPC ...
G09G005/00 ; G06T011/20 ;
U.S. Cl.
CPC ...
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 formulawhere i is an index identifying a particular one of N numbers of constraint conditions and L(t) 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


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