Smooth trimmed NURBS surface connection with tension control

Pifu Zhang, Fuhua Cheng

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Scopus citations


An automatic smooth surface connection method that has the capability of tension control is presented. Given two trimmed NURBS surfaces, the new method constructs a smooth connection surface to connect the trimming regions of the trimmed surfaces at the trimming curves. The connection satisfies pseudo-G 1 or pseudo-C 1 smoothness requirement. The construction process consists of four major steps: connection curves construction and alignment, initial blends construction, setting up continuity constraints, and internal and external boundary smoothing. The advantages of the new method include: (1) providing the users with more flexibility in adjusting the shape of the connection surface, (2) the representation of the connection surface is compatible with most of the current data-exchange standards, (3) including the classical blending as a special case but with more flexibility on the setting of the rail curves, and (4) smoother shape of the resulting connection surface through an energy optimization process. Test cases that cover typical CAD applications are included.

Original languageEnglish
Title of host publicationProceedings - Geometric Modeling and Processing 2004
EditorsS.M. Hu, H. Pottmann
Number of pages10
StatePublished - 2004
EventProceedings - Geometric Modeling and Processing 2004 - Beijing, China
Duration: Apr 13 2004Apr 15 2004

Publication series

NameProceedings - Geometric Modeling and Processing 2004


ConferenceProceedings - Geometric Modeling and Processing 2004


  • Constrained deformation
  • Rail curves
  • Strain energy
  • Surface connection
  • Trimmed NURBS surfaces

ASJC Scopus subject areas

  • Engineering (all)


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