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Draping 2D Patterns Onto 3D Surfaces

[+] Author Affiliations
Ajay Joneja, Angela Tam, Fu Jing

Hong Kong University of Science and Technology, Kowloon, Hong Kong

Paper No. DETC2003/DFM-48170, pp. 363-369; 7 pages
doi:10.1115/DETC2003/DFM-48170
From:
  • ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 3a: 8th Design for Manufacturing Conference
  • Chicago, Illinois, USA, September 2–6, 2003
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-3701-7 | eISBN: 0-7918-3698-3
  • Copyright © 2003 by ASME

abstract

We describe a simple new CAD operator that allows draping of given 2D patterns onto the surface of a 3D mold. The 2D pattern is any closed, connected polygon or a polygonal approximation of a shape bounded by curves. The mold is typically described in terms of any standard surface representation scheme, such as NURBS or B-Splines. The draping is achieved by mapping skeletal lines on the 2D pattern onto corresponding geodesic curves on the 3D surface. If the mold surface is developable, our method gives a draping with zero distortion. A useful application in the CAD of footwear is demonstrated as a motivation for this work. A simple software program has been implemented to test the operator, and examples are provided to demonstrate its use.

Copyright © 2003 by ASME

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