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Bayesian Radial Basis Function Interpolation
1992Interpolation using radial basis functions in one or more dimensions has become a subject of much research (e.g. Buhmann and Powell [1], Foley [2]). It is an example of inference problems involving incomplete and/or noisy data. All such inference problems ought to be analysed with ordinary (Bayesian) probability calculus, which is the only method of ...
John Skilling, Sibusiso Sibisi
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Analysis of radial basis function interpolation approach
Applied Geophysics, 2013The radial basis function (RBF) interpolation approach proposed by Freedman is used to solve inverse problems encountered in well-logging and other petrophysical issues. The approach is to predict petrophysical properties in the laboratory on the basis of physical rock datasets, which include the formation factor, viscosity, permeability, and molecular
You-Long Zou +4 more
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Referenceless thermometry using radial basis function interpolation
2014 World Symposium on Computer Applications & Research (WSCAR), 2014The Proton Resonance Frequency (PRF) shift provide a method for temperature change measurements during thermotherapy. Conventional PRF thermometry works subtracting one or multiple baseline images. The method leads to artifacts caused by tissue motion and frequency drift.
Agnello Luca +3 more
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Multivariate interpolation using radial basis function networks
International Journal of Data Mining, Modelling and Management, 2009There is, hitherto, no efficient method to interpolate multivariate functions, for especially dynamic problems in which new training data are often added in real-time. In order to construct an efficient method, this paper considers local interpolation RBF networks, where artificial neural network approach and instance-based learning are combined.
Dang Thi Thu Hien +2 more
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Radial Basis Function Interpolation for Referenceless Thermometry Enhancement
2015MRgFUS (Magnetic Resonance guided Focused UltraSound) is a new and non-invasive technique to treat different diseases in the oncology field, which uses Focused Ultrasound (FUS) to induce necrosis in the lesion. Temperature change measurements during ultrasound thermo-therapies can be performed through magnetic resonance monitoring by using Proton ...
Agnello L +3 more
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Interpolation by Polynomials and Radial Basis Functions on Spheres
Constructive Approximation, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
von Golitschek, M., Light, W. A.
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Surface interpolation with radial basis functions for medical imaging
IEEE Transactions on Medical Imaging, 1997Radial basis functions are presented as a practical solution to the problem of interpolating incomplete surfaces derived from three-dimensional (3-D) medical graphics. The specific application considered is the design of cranial implants for the repair of defects, usually holes, in the skull.
J C, Carr, W R, Fright, R K, Beatson
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Almost Interpolation and Radial Basis Functions
2003After a review of some basic facts for Radial Basis Interpolation, we introduce the idea of almost interpolation for RBF, and show that in this setting it is possible to enlarge quite a lot the set of basic radial functions that can be used as basis. Our main result provides a Schoenberg-Whitney type condition for almost interpolation sets.
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Stability of Spherical Hermite Interpolation Using Radial Basis Function
Journal of Computational Analysis and Applications, 2000Summary: We give a lower bound for the least eigenvalue of the interpolation matrix arising from Hermite interpolation by a positive definite kernel on the sphere \(S^{d-1}\), determining the main factor for the stability of the interpolation.
Luo, Z., Levesley, J.
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Lebesgue function for multivariate interpolation by radial basis functions
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehri, Bahman, Jokar, Sadegh
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