نتایج جستجو برای: hermit spline
تعداد نتایج: 14876 فیلتر نتایج به سال:
Non-uniform B-spline dictionaries on a compact interval are discussed. For each given partition, dictionaries of B-spline functions for the corresponding spline space are constructed. It is asserted that, by dividing the given partition into subpartitions and joining together the bases for the concomitant subspaces, slightly redundant dictionaries of Bsplines functions are obtained. Such dictio...
The paper is focused on the understanding of the spline function as a modern tool in data analysis. We consider three numerical methods that offer framework for the spline function’s use as the interpolation, fitting and smoothing of the data. For each of these three methods, we present the corresponding spline and the conditions required by data for using the appropriate type of spline.
We present a data reduction scheme for efficient surface storage, by introducing a coefficient–based least squares spline operator that does not require any pointwise evaluation to approximate (in a lower dimension spline space) a given bivariate B–spline function. In order to define an accurate approximation of the target spline with a significant reduction of the space dimension, this operato...
This paper discusses the dimension of spline spaces S(m,n,m−1, n−1,T ) over certain type of hierarchical T-meshes. The major step is to set up a bijection between the spline space S(m,n,m− 1, n− 1,T ) and a univariate spline space whose definition depends on the l-edges of the extended T-mesh. We decompose the univariate spline space into direct sums in the sense of isomorphism using the theory...
Anatomy and cnidae distinguish two species of deep-sea actinians that produce coiled, chitinous shells inhabited by hermit crabs of the genus Parapagurus. The actinian type species, Stylobates aeneus, first assigned to the Mollusca, occurs around Hawaii and Guam with P. dofleini. Stylobates cancrisocia, originally described as Isadamsia cancrisocia, occurs off east Africa with P. trispinosus. p...
In this Article, proposes an approximation for the solution of the Riccati equation based on the use of exponential spline functions. Then the exponential spline equations are obtained and the differential equation of the fractional Riccati is discretized. The effect of performing this mathematical operation is obtained from an algebraic system of equations. To illustrate the benefits of the me...
This paper presents a novel method for converting any unstructured quadrilateral or hexahedral mesh to a generalized T-spline surface or solid T-spline, based on the rational T-spline basis functions. Our conversion algorithm consists of two stages: the topology stage and the geometry stage. In the topology stage, the input quadrilateral or hexahedral mesh is taken as the initial T-mesh. To con...
Henrik Østergaard,1 Jais R. Bjelke,2 Lene Hansen,3 Lars Christian Petersen,1 Anette A. Pedersen,2 Torben Elm,3 Flemming Møller,3 Mette B. Hermit,3 Pernille K. Holm,1 Thomas N. Krogh,2 Jørn M. Petersen,2 Mirella Ezban,3 Brit B. Sørensen,1 Mette D. Andersen,2 Henrik Agersø,3 Haleh Ahmadian,2 Kristoffer W. Balling,1 Marie Louise S. Christiansen,1 Karin Knobe,4 Timothy C. Nichols,5 Søren E. Bjørn,1...
This paper is devoted to the shape control of B-spline curves achieved by the modification of one of its knot values. At first those curves are described along which the points of a B-spline curve move under the modification of a knot value. Then we show that the one-parameter family of k order B-spline curves obtained by modifying a knot value has an envelope which is also a B-spline curve of ...
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