Direct Surface Manipulation (DSM) allows a designer to add a raised or indented feature to an existing surface. The user bounds the feature with a closed curve, and defines an influence center that indicates the point or curve of maximum displacement from the original surface. As we move radially outward from the influence center to the boundary curve, the magnitude of displacement is scaled gradually by a one-dimensional polynomial basis function whose values range from 0 to 1. In this paper we present a new technique for assigning parameter values in the radial direction, i.e., u, to points within a DSM feature. The new technique poses parameter distribution as a steady state heat conduction problem and uses a finite element method to solve for The new method overcomes some stringent geometric conditions inherited from a fundamentally geometric-based reparameterization scheme and allows us to work with non-star-shaped and multiply connected DSM features. Thus it allows us to apply this surface feature technique to a wider variety of surface applications.
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June 2002
Technical Papers
Surface Feature Parametrization Analogous to Conductive Heat Flow
Yifan Chen,
e-mail: ychen1@ford.com
Yifan Chen
Manufacturing Systems Department, Ford Research Laboratory, 2010 Village Road, P.O. Box 2053, MD 3135, SRL, Dearborn, MI 48121-2053
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Paul J. Stewart
e-mail: pstewart@ford.com
Paul J. Stewart
Manufacturing Systems Department, Ford Research Laboratory, 2010 Village Road, P.O. Box 2053, MD 3135, SRL, Dearborn, MI 48121-2053
Search for other works by this author on:
Yifan Chen
Manufacturing Systems Department, Ford Research Laboratory, 2010 Village Road, P.O. Box 2053, MD 3135, SRL, Dearborn, MI 48121-2053
e-mail: ychen1@ford.com
Paul J. Stewart
Manufacturing Systems Department, Ford Research Laboratory, 2010 Village Road, P.O. Box 2053, MD 3135, SRL, Dearborn, MI 48121-2053
e-mail: pstewart@ford.com
Contributed by the Computer Aided Product Development (CAPD) Committee for publication in the JOURNAL OF COMPUTING AND INFORMATION SCIENCE IN ENGINEERING Manuscript received January 2002; Revised August 2002. Associate Editor: N. Patrikalakis.
J. Comput. Inf. Sci. Eng. Jun 2002, 2(2): 77-85 (9 pages)
Published Online: September 25, 2002
Article history
Received:
January 1, 2002
Revised:
August 1, 2002
Online:
September 25, 2002
Citation
Marsan, A. L., Chen, Y., and Stewart, P. J. (September 25, 2002). "Surface Feature Parametrization Analogous to Conductive Heat Flow ." ASME. J. Comput. Inf. Sci. Eng. June 2002; 2(2): 77–85. https://doi.org/10.1115/1.1510860
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