Triangular patch modeling using combination method

Caiming Zhang, Fuhua Cheng

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


A new method for constructing triangular patches is presented. A triangular patch that interpolates given boundary curves and cross-boundary slopes is formed by blending three traditional side-vertex interpolation operators (Nielson, 1979) with a new, interior interpolation operator. The new operator is the solution of an interpolation process that interpolates both the interior and the boundary of the triangular domain. The interior interpolation operator has better approximation precision on the interior of the triangle than the side-vertex operators. The constructed triangular patch reproduces polynomial surfaces of degree four. Comparison results of the new method with the side-vertex method (Nielson, 1979) are included.

Original languageEnglish
Pages (from-to)645-662
Number of pages18
JournalComputer Aided Geometric Design
Issue number8
StatePublished - Oct 2002

Bibliographical note

Funding Information:
The financial support of Ford Motor Company through a URP grant and Honda Motor Company through two HIG grants, and the consulting support of Drs. Paul Stewart and Yifan Chen of the Ford Research Lab and Dr. Shane Chang of the Honda R&D North America are deeply appreciated.

Funding Information:
* Corresponding author. E-mail address: [email protected] (C. Zhang). 1 Supported by Ford and Honda. Currently with the School of Computer Science and Technology, Shandong University, China. 2 Supported by NSF(9722728), Ford and Honda.


  • Combination method
  • Interior interpolation operator
  • Interpolation
  • Quartic polynomial
  • Side-vertex interpolation operator
  • Triangular patch

ASJC Scopus subject areas

  • Modeling and Simulation
  • Automotive Engineering
  • Aerospace Engineering
  • Computer Graphics and Computer-Aided Design


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