Bicubic B-spline surfaces constrained by the Biharmonic PDE

Xuli Han and Jing Han

Applied Mathematics and Computation, 2019, vol. 361, issue C, 766-776

Abstract: Bicubic B-spline surface constrained by the Biharmonic PDE is presented in this paper. By representing the Biharmonic PDE in the form of the bilinear B-spline bases, we find the regular vector-valued coefficients and discover that bicubic B-spline surface can satisfy the Biharmonic PDE. When the control points of the boundaries for open or closed surfaces are given, the inner control points can be fully determined. For each case of the surfaces open in both directions, closed in one direction and closed in both directions, a linear system for solving inner control points is established. Some examples show the effectiveness of the given method.

Keywords: Cubic B-spline; Bicubic B-spline surface; Biharmonic PDE; Surface generation; Geometric computing (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300319304904
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:361:y:2019:i:c:p:766-776

DOI: 10.1016/j.amc.2019.06.025

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().