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:
Jul. 10, 2012
Filed:
Mar. 30, 2009
Gregory G. Slabaugh, London, GB;
Jaroslaw Rossignac, Atlanta, GA (US);
Brian Whited, Memphis, TN (US);
Tong Fang, Morganville, NJ (US);
Gozde Unal, Plainsboro, NJ (US);
Gregory G. Slabaugh, London, GB;
Jaroslaw Rossignac, Atlanta, GA (US);
Brian Whited, Memphis, TN (US);
Tong Fang, Morganville, NJ (US);
Gozde Unal, Plainsboro, NJ (US);
Siemens Aktiengesellschaft, München, DE;
Abstract
A method of computing a continuous interpolation of a discrete set of three-dimensional (3D) balls, including generating an initial skin, wherein the initial skin is a surface comprised of splines and wherein the splines touch each ball along a circle that is tangent to the ball, solving a first differential equation to minimize the initial skin's surface area or solving a second differential equation to minimize a squared mean curvature of the initial skin's surface, wherein the result of solving the first or second differential equations is an updated skin; and repeating the steps of solving the first or second differential equations for the updated skin, and then, repeating the steps of solving the first or second differential equations for each subsequently updated skin until a desired skin is realized.