Thinning, insertion, and swapping algorithms for generating well-distributed hierarchical subsets of scattered data in a given domain in IR are proposed. It is found that thinning and insertion yield approximately similar results but that swapping is in general inferior.

Given scattered data in IR, interpolation from a dilated box spline space SM (2 ·) is always possible for a fine enough scaling. For example, for the Lagrange function of a point θ one could take any shifted dilate M(2 · −j) which is nonzero at θ and zero at the other interpolation points. However, the resulting interpolant, though smooth (and local), will consist of a set of “bumps”, and so by...

Moment tensors derived from seismic measurements during earthquakes are related to stress tensors and keep important information about surface displacement in the earth’s mantle. We present methods facilitating an interactive visualization of scattered moment data to support earthquake and displacement analysis. For this goal, we combine and link visualizations of spatial location and orientati...

Radial basis functions are traditional and powerful tools for multivariate interpolation from scattered data. This self-contained talk surveys both theoretical and practical aspects of scattered data fitting by radial basis functions. To this end, basic features of the radial basis function interpolation scheme are first reviewed, such as well-posedness, numerical stability and approximation or...

Abstract We discuss a pointwise numerical differentiation formula on multivariate scattered data, based the coefficients of local polynomial interpolation at Discrete Leja Points, written in Taylor’s monomial basis. Error bounds for approximation partial derivatives any order compatible with function regularity are provided, as well sensitivity estimates to functional perturbations, terms inver...

introduction: scatter radiation is one of the major sources of error in nuclear medicine data processing. different methods of scatter correction have been introduced in order to improve the quality of data. however the best method is to avoid recording of scatter photons in acquisition. the only difference between scattered and non-scattered photons is the energy. pulse height analyzer is the ...