A Polynomial Splines Identification Method Based on Control Nets. (19th August 2020)

• Record Type: Journal Article
• Authors: Wang, Zhihua; Kang, Hongmei
• Other Names: Kwon Oh-Min Academic Editor.
• Is Part Of: Complexity. Volume 2020(2020)
• Publication Date: 2020-08-19
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2020/7103963
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : In this study, based on Polynomial Splines with control nets, an identification method is investigated. We introduce polynomial splines with control nets defined over T-mesh. The basic idea is to extend T-vertices such that those T-vertices become interior cross vertices or boundary vertices. To this end, we introduce the design-suitable T-mesh for constructing polynomial splines with control net. In design-suitable T-meshes, there are no extra basis vertices produced by an appropriate extension of T-vertices. The basis functions are defined over each vertex in a design-suitable T-mesh by the means of constructing PHT-splines basis functions.