Title
Functional data approximation on bounded domains using polygonal finite elements.
Abstract
•We fit data using quadratic serendipity finite elements on polygonal meshes.•Two greedy algorithms are proposed to generate Voronoi meshes for adaptive fitting.•An L2-optimization is tailored to further improve the fitting result.•Our method is efficient in modeling features/discontinuities in data approximation.
Year
DOI
Venue
2018
10.1016/j.cagd.2018.05.005
Computer Aided Geometric Design
Keywords
Field
DocType
Polygonal elements,Barycentric coordinates,Data approximation,Voronoi tessellation
Topology,Applied mathematics,Polygon,Polygon mesh,Quadratic equation,Regular polygon,Rate of convergence,Basis function,Piecewise,Mathematics,Barycentric coordinate system
Journal
Volume
ISSN
Citations 
63
0167-8396
0
PageRank 
References 
Authors
0.34
19
5
Name
Order
Citations
PageRank
Juan Cao1387.92
Yanyang Xiao231.40
Zhonggui Chen3746.16
Wenping Wang42491176.19
Chandrajit L. Bajaj52880306.59