piecewise polynomial functionsspherical triangulationSobolev spaceseminormapproximation orderBounds are provided on how well functions in Sobolev spaces on the sphere can be approximated by spherical splines, where a spherical spline of degree d is a C r function whose pieces are the restrictions of ...
3.(Building) a thin narrow strip made of wood, metal, or plastic fitted into a groove in the edge of a board, tile, etc, to connect it to another vb (Building) (tr) to provide (a shaft, part, etc) with splines [C18: East Anglian dialect; perhaps related to Old Englishsplinspindl...
For the piecewise linear interpolant, dk = δk−1 or δk, but this is not necessarily true for higher order interpolants. Consider the following function on the interval xk ≤ x ≤ xk+1, expressed in terms of local variables s = x − xk and h = hk: 3hs2 − 2s3 h3 − ...
Vector-Valued Piecewise Polynomials A pp can also be vector-valued, to describe a curve, in 2-space or 3-space. In that case, each local polynomial coefficient is a vector rather than a number, but nothing else about the ppform changes. There is one additional part of the ppform to reco...
projector onto the piecewise polynomial tensors and the usual stabilizer depending on the degrees of freedom of the virtual element subspace approximatingσ. ... GN Gatica,FA Sequeira - 《Mathematical Models & Methods in Applied Sciences》 被引量: 0发表: 2021年 加载更多来源...
We analyze the space of bivariate functions that are piecewise polynomial of bi-degree and of smoothness along the interior edges of a planar T-mesh . We g... B Mourrain - 《Mathematics of Computation》 被引量: 64发表: 2013年 Dimension of spline spaces with highest order smoothness over ...
Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree. Adv. Comput. Math. 1995, 4, 389–396. [Google Scholar] [CrossRef] Robinson, M. Turbulence and Viscous Mixing Using Smoothed Particle Hydrodynamics. Ph.D. Thesis, Monash University, Clayton, ...
The basis elements were recursively generated using piecewise smooth polynomials, and were roughly localized to certain regions of the exposure variable in the data. Most of the time, quadratic or cubic polynomials were used, often with linear tails in the presence of sparse data. This approach ...
As an alternative, this relationship is presented as a set of coefficients and piecewise polynomials of degree q (basis functions) that are entirely calculated from the data X,y. The MARS model is built by fitting basis functions to different intervals of the input variables [19], [28]. ...
For each of these time points we removed the adjacent five samples on each side and interpolated using a piecewise cubic Hermite interpolating polynomial82,83. From each 30-second clip we extracted the 5-second window with the fewest number of time points that had to be interpolated. Therefore...