Back to Search Start Over

Polyhedral control-net splines for analysis.

Polyhedral control-net splines for analysis.

Authors :
Mishra, Bhaskar
Peters, Jörg
Source :
Computers & Mathematics with Applications. Dec2023, Vol. 151, p215-221. 7p.
Publication Year :
2023

Abstract

Generalizing tensor-product splines to smooth functions whose control nets can outline more general topological polyhedra, bi-cubic polyhedral-net splines form a first-order differentiable piecewise polynomial space. Each polyhedral control net node is associated with one bi-cubic function. A polyhedral control net admits grid-, star-, n -gon-, polar- and three types of T-junction configurations. Analogous to tensor-product splines, polyhedral-net splines can both model curved geometry and represent higher-order functions on the geometry. This paper explores the use of polyhedral-net splines for solving elliptic partial differential equations on curved smooth free-form surfaces without additional meshing. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
08981221
Volume :
151
Database :
Academic Search Index
Journal :
Computers & Mathematics with Applications
Publication Type :
Academic Journal
Accession number :
173608359
Full Text :
https://doi.org/10.1016/j.camwa.2023.09.041