On the Problem of Instability in the Dimensions of Spline Spaces over T-Meshes with T-Cycles

Autor:	Chong-Jun Li, Ren-Hong Wang, Qing-Jie Guo
Rok vydání:	2015
Předmět:	Hermite spline Mathematical analysis Perfect spline Mathematics::Numerical Analysis Polyharmonic spline Computational Mathematics Spline (mathematics) Computer Science::Graphics Applied mathematics Polygon mesh Thin plate spline Spline interpolation Smoothing Mathematics
Zdroj:	Journal of Computational Mathematics. 33:248-262
ISSN:	1991-7139 0254-9409
Popis:	The T-meshes are local modification of rectangular meshes which allow T-junctions. The splines over T-meshes are involved in many fields, such as finite element methods, CAGD etc. The dimension of a spline space is a basic problem for the theories and applications of splines. However, the problem of determining the dimension of a spline space is difficult since it heavily depends on the geometric properties of the partition. In many cases, the dimension is unstable. In this paper, we study the instability in the dimensions of spline spaces over T-meshes by using the smoothing cofactor-conformality method. The modified dimension formulas of spline spaces over T-meshes with T-cycles are also presented. Moreover, some examples are given to illustrate the instability in the dimensions of the spline spaces over some special meshes.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::234c950d9a69a31b2d90019678218d3e https://doi.org/10.4208/jcm.1411-m4419 Zobrazit plný text záznamu Plný text ve formátu PDF