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.
|Number of pages||18|
|Journal||Computer Aided Geometric Design|
|State||Published - Oct 2002|
Bibliographical noteFunding 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.
* Corresponding author. E-mail address: email@example.com (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
- 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