منابع مشابه
Homogeneous Simplex Splines
Homogeneous simplex splines, also known as cone splines or mul-tivariate truncated power functions, are discussed from a perspective of homogeneous divided diierences and polar forms. This makes it possible to derive the basic properties of these splines in a simple and economic way. In addition, a construction of spaces of homogeneous simplex splines is considered, which in the non-homogeneous...
متن کاملInterval Simplex Splines for Scientific Databases
Modern technology has enabled the scientific community to collect vast amounts of physical data. These data are often sampled at unstructured spatial locations because of physical constraints, and measured with uncertainty because of measurement technique errors. However, most existing data representation and visualization methods apply only to gridded or regular data and ignore the uncertainty...
متن کاملOn Discrete Simplex Splines and Subdivision
A variety of techniques to facilitate fast graphical display of curves and surfaces for interactive CAGD purposes have been developed, in the past years. Many of these are commonly referred to as subdivision algorithms PI. In this paper we propose a method for subdividing simplex splines, i.e., splines that can be defined over non-regular grid partitions. There is a relatively exhaustive theory...
متن کاملSimplex–Splines on the Clough–Tocher Element
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau...
متن کاملThe Stable Evaluation of Multivariate Simplex Splines
This paper gives a general method for the stable evaluation of multivariate simplex splines, based on the well-known recurrence relation of Micchelli [12]. This paper deals with two problems which arise in the implementation of the recurrence relation. First, the coefficients in the recurrence are shown to be efficiently computable via the dual simplex method of linear programminig. Secondly, t...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1996
ISSN: 0377-0427
DOI: 10.1016/0377-0427(96)00042-8