Multivariate weak spline function space
نویسندگان
چکیده
منابع مشابه
Multivariate spline approximation of the signed distance function
The signed distance function can effectively support many geometry processing tasks such as decimates, smoothing and shape reconstruction since it provides efficient access to distance estimates. In this talk, we present an adaptive method to approximate the signed distance function of a smooth curve by using polynomial splines over type-2 triangulation. The trimmed offsets are also studied.
متن کاملWhat is a multivariate spline?
The various concepts and ideas that have contributed to univariate spline theory are considered with a view to finding a suitable definition of a multivariate spline. In this way, an overview of the existing more or less complete univariate spline theory is given along with a survey of some of the high points of the current research in multivariate splines. My very first paper dealt with multiv...
متن کاملOn Smooth Multivariate Spline Functions
In this paper the dimensions of bivariate spline spaces with simple cross-cut grid partitions are determined and expressions of their basis functions are given. Consequently, the closures of these spaces over all partitions of the same type can be determined. A somewhat more detailed study on bivariate splines with rectangular grid partitions is included. The results in this paper can be applie...
متن کاملGeD spline estimation of multivariate Archimedean copulas
A new multivariate Archimedean copula estimation method is proposed in a non-parametric setting. The method uses the so called Geometrically Designed splines (GeD splines), recently introduced by Kaishev et al. (2006 a,b) [10] and [11], to represent the cdf of a random variable Wθ, obtained through the probability integral transform of an Archimedean copula with parameter θ. Sufficient conditio...
متن کاملThree topics in multivariate spline theory
We examine three topics at the interface between spline theory and algebraic geometry. In the first part, we show how the concept of domain points can be used to give an original explanation of Dehn–Sommerville equations relating the numbers of i-faces of a simplicial polytope in R, i = 0. . . . , n − 1. In the second part, we echo some joint works with T. Sorokina and with P. Clarke on computa...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2002
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(01)00568-4