Radial basis function interpolation on a set of scattered data is constructed from the corresponding translates of a basis function, which is conditionally positive definite of order m ⩾ 0, with the possible addition of a polynomial term. In many applications, the translates of a basis function...
The improvement is achieved by using radial basis functions called osculatory radial basis functions. Such functions make use of the normal gradient at boundary to obtain improved interpolation. The efficacy of the method is demonstrated for some prototypical nonlinear Poisson problems and for multiple...
basis set convergence towards the numerical limit of the total hartree-fock (hf) energy is investigated for the hierarchical sequences of the xzp and cc-pv... PS Sagrillo,FE Jorge,PL Barbieri,... - 《Journal of the Brazilian Chemical Society》 被引量: 10发表: 2007年 AN ANALYTIC METHOD ...
In the 1990's exponential-type error bounds appeared in the theory of radial basis functions. This kind of error bounds is very powerful. However it only measures the difference between the approximant and approximand. Mathematicians and engineers often need to know the matching of the derivatives...
This paper focuses on the design of fast algorithms for rotating images and preserving high quality. The basis for the approach is a decomposition of a rot... M Unser,P Thevenaz,L Yaroslavsky - 《IEEE Transactions on Image Processing》 被引量: 391发表: 1995年 On optimal triangular meshes ...
Expressions allow you to dynamically construct SAF parameters and to select which SAFs to execute on a request-by-request basis. Expressions are constructed from literals, variables, functions, and operators. Use expressions in If and ElseIf tags (see If, ElseIf, and Else), in log format ...
K. Jetter and S. D. Riemenschneider, Cardinal interpolation, submodules, and the 4-direction mesh, Constr. Approx. 3 Z1987., 169᎐188.Riemenschneider, S.D., Sivakumar, N.: Gaussian radial-basis functions: cardinal interpolation of \(l^p\) and power-growth data. Adv. Comput. Math. ...
The proposed methods have achieved both low computational cost and minimal memory storage. In comparison with the compactly supported radial basis functions, the proposed fitting algorithms are highly accurate. The numerical examples have provided strong evidence that the two proposed algorithms are indeed...
Rusu, C. and Rusu, V. 2006. Radial Basis Functions Versus Geostatistics in Spatial Interpolations. In M. Bramer (ed.), IFIP International Federation for Information Processing. Springer, Boston, pp. 119-128.Rusu, C. and V. Rusu. 2006. Radial Basis Functions versus Geostatistics in spatial ...
Interpolation by Loop’s Subdivision Functions - Xu - 2005 () Citation Context ...s valid for control function values. 6. Linear independency. As a set of basis functions, {φi} m i=1 must be linearly independent. For Loop’s subdivision scheme, this fact is implied by a result from ...