Constructing parametric triangular patches with boundary conditions

Hui Liu, Jun Ma, Fuhua Cheng

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


The problem of constructing a parametric triangular patch to smoothly connect three surface patches is studied. Usually, these surface patches are defined on different parameter spaces. Therefore, it is necessary to define interpolation conditions, with values from the given surface patches, on the boundary of the triangular patch that can ensure smooth transition between different parameter spaces. In this paper we present a new method to define boundary conditions. Boundary conditions defined by the new method have the same parameter space if the three given surface patches can be converted into the same form through affine transformation. Consequently, any of the classic methods for constructing functional triangular patches can be used directly to construct a parametric triangular patch to connect given surface patches with G1 continuity. The resulting parametric triangular patch preserves precision of the applied classic method.

Original languageEnglish
Pages (from-to)315-322
Number of pages8
JournalProgress in Natural Science
Issue number3
StatePublished - Mar 2008

Bibliographical note

Funding Information:
This work was supported by the National Key Basic Research 973 Program of China (Grant No. 2006CB303102) and the National Nature Science Foundation of China (Grant Nos. 60633030 and 60533060). We thank Professor Zhang C.M., for his instruction and source code of constructing triangular patch [12,13] .


  • Determination of interpolation conditions
  • Parametric interpolation
  • Triangular patch

ASJC Scopus subject areas

  • General Materials Science


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