Smooth connection of trimmed NURBS surfaces

P. Zhang, F. Cheng

Research output: Contribution to conferencePaperpeer-review


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 the pseudo-G1 or pseudo-C1 smoothness requirement, a condition not as strong as G1 or C1, but smooth enough for most industrial applications. 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 flexib ility 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 important applications are included.

Original languageEnglish
Number of pages1
StatePublished - 2001
Event6th ACM Symposium on Solid Modeling and Applications - Ann Arbor, MI, United States
Duration: Jun 6 2001Jun 8 2001


Conference6th ACM Symposium on Solid Modeling and Applications
Country/TerritoryUnited States
CityAnn Arbor, MI


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

ASJC Scopus subject areas

  • General Engineering


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