The triangulation of images has become an active research area in recent years for its compressive representation and ease of image processing and visualization. However, little work has been done on how to faithfully recover image intensities from a triangulated mesh of an image, a process also known as image restoration or decoding from meshes. The existing methods such as linear interpolatio...

The triangulation of images has become an active research area in recent years for its compressive representation and ease of image processing and visualization. However, little work has been done on how to faithfully recover image intensities from a triangulated mesh of an image, a process also known as image restoration or decoding from meshes. The existing methods such as linear interpolatio...

in this research, the spatial distribution of fe, cu, zn and mn on agricultural lands of golestan province were evaluated using different interpolation methods such as, kriging, inverse distance weighted, local polynomial, inverse multiquadric and radial basis function. thus, 505 soil samples were provided from fields during 2008 and micronutrients rates were measured for each sample. the perfo...

Radial Basis Functions (RBF) interpolation theory is briefly introduced at the “application level” including some basic principles and computational issues. The RBF interpolation is convenient for un-ordered data sets in n-dimensional space, in general. This approach is convenient especially for a higher dimension N 2 conversion to ordered data set, e.g. using tessellation, is computationally v...

It is shown that a theorem of E. Rakotch for locally contractive mappings can be deduced from Banach's contraction mapping theorem, and a counterexample to an assertion of R. D. Holmes concerning local radial contractions is given. Let (X, d) be a metric space, k G (0, 1), and g a mapping of X into X. If for each x G X there exists a neighborhood A^(x) of x such that for each u, v G N(x), d(g(u...

The design of bone scaffold involves the analysis stress shielding, which can occur when Young’s modulus implant is higher than it replacing, leading to decay in surrounding tissue. It therefore very important that material adequately designed match properties tissue, allowing an appropriate load transfer. While some approaches exist literature exploring functional gradients density, there are ...

One of the significant advantages of particle methods is their capability of computing large material deformation without the difficulty of mesh distortion. Often the large deformation of a material is caused by shock loading, therefore accurate calculation of shock waves is important for particle methods. In this work we study the numerical properties of four major versions of the material poi...

A novel Hermite radial basis function-based differential quadrature (H-RBF-DQ) method is presented in this paper based on 2D variable order time fractional advection–diffusion equations with Neumann boundary conditions. The proposed designed to treat accurately for derivative conditions, which considerably improve the approximation results and extend range of applicability RBF-DQ. advantage pre...

In this paper, a robust autopilot is proposed using stable interpolation based on Youla parameterization. The most important condition of stable interpolation between local controllers is the preservation of stability so that each local controller can ensure stability for an open neighborhood around a nominal point. The proposed design used fixed-order robust controller with parameter-dependent...

Approximation and Interpolation Employing Divergence–free Radial Basis Functions with Applications. (May 2002) Svenja Lowitzsch, Dipl., Georg-August University, Göttingen Co–Chairs of Advisory Committee: Dr. Francis J. Narcowich Dr. Joseph D. Ward Approximation and interpolation employing radial basis functions has found important applications since the early 1980’s in areas such as signal proc...