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.
Patent No.:
Date of Patent:
Feb. 19, 2008
Filed:
Dec. 04, 2002
Thomas A. Grandine, Issaquah, WA (US);
Thomas A. Hogan, Seattle, WA (US);
Thomas A. Grandine, Issaquah, WA (US);
Thomas A. Hogan, Seattle, WA (US);
The Boeing Company, Chicago, IL (US);
Abstract
A system, method and computer program product are provided for modeling at least one section of a curve. Each section can be modeled by initially providing a pair of positions (f, f) of the section of the curve including associated directions (d, d) and curvatures (κ, κ). Then, points b, b, b, band bcan be identified based upon the pair of positions (f, f) and associated directions (d, d) and curvatures (κ, κ). Thereafter, a quartic interpolant p(t) can be determined over an interval (i≦t≦i+1) based upon points b, b, b, band bto thereby model the section of the curve. The quartic interpolant can be determined such that the interpolant p(t) has a position, direction and curvature equal to f, dand κ, respectively, at t=i, and the interpolant p(t) has a position, direction and curvature equal to f, d, and κ, respectively, at t=i+1.