منابع مشابه
Error estimates for scattered data interpolation on spheres
We study Sobolev type estimates for the approximation order resulting from using strictly positive definite kernels to do interpolation on the n-sphere. The interpolation knots are scattered. Our approach partly follows the general theory of Golomb and Weinberger and related estimates. These error estimates are then based on series expansions of smooth functions in terms of spherical harmonics....
متن کاملA Note on Angular Representations for Scattered Waves
Differential-operator representations for the scattered field were given by Twersky [1], [3], [4], and Burke, Censor and Twersky [2], Essentially, from the data provided on a circle (in two dimensions) or a sphere (in three dimensions), the field may be reconstructed for arbitrary distances. Presently reconstruction of the field is considered from data provided in other regions of space, e.g., ...
متن کاملEnhanced angular resolution from multiply scattered waves
Multiply scattered waves are often neglected in imaging methods, largely because of the inability of standard algorithms to deal with the associated nonlinear models. This paper shows that by incorporating a known environment into the background model, we not only retain the benefits of imaging techniques based on linear models, but also obtain different views of the target scatterer. The net r...
متن کاملTime-lapse Monitoring with Multiply Scattered Waves
Previous formulations of coda wave interferometry make it possible to assess the average change of the medium, but they do not allow for the spatial localization of this change (Snieder et al., 2002; Snieder, 2002). We present an approach for localizing temporal changes in the medium using strongly scattered waves, and test it with numerical models for 2D scalar waves. Using an integral represe...
متن کاملImaging moving targets from scattered waves
We develop a linearized imaging theory that combines the spatial, temporal and spectral aspects of scattered waves. We consider the case of fixed sensors and a general distribution of objects, each undergoing linear motion; thus the theory deals with imaging distributions in phase space. We derive a model for the data that is appropriate for any waveform, and show how it specializes to familiar...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1998
ISSN: 0030-8730
DOI: 10.2140/pjm.1998.182.101