Invention Grant
- Patent Title: 3D ball skinning using partial differential equations for generation of smooth tubular surfaces
- Patent Title (中): 使用偏微分方程的3D球剥皮生成光滑的管状表面
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Application No.: US12413913Application Date: 2009-03-30
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Publication No.: US08218910B2Publication Date: 2012-07-10
- Inventor: Gregory G. Slabaugh , Jaroslaw Rossignac , Brian Whited , Tong Fang , Gozde Unal
- Applicant: Gregory G. Slabaugh , Jaroslaw Rossignac , Brian Whited , Tong Fang , Gozde Unal
- Applicant Address: DE München
- Assignee: Siemens Aktiengesellschaft
- Current Assignee: Siemens Aktiengesellschaft
- Current Assignee Address: DE München
- Agency: F. Chau & Associates, LLC
- Agent Donald B. Paschburg
- Main IPC: G06K9/32
- IPC: G06K9/32

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.
Public/Granted literature
- US20100045671A1 3D BALL SKINNING USING PARTIAL DIFFERENTIAL EQUATIONS FOR GENERATION OF SMOOTH TUBULAR SURFACES Public/Granted day:2010-02-25
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