Approximating scattered data with discontinuities. (English) Zbl 0823.65014

The aim of this paper is to present a method for approximating scattered data by a function defined on a regular two-dimensional grid. The method requires three phases: regularization, local approximation, and extrapolation. Two examples from seismic data are presented.
The method is interesting for other areas: computer aided design, terrain modelling in the mapping, industrial shape estimations in molecular modelling, and modelling of geological surfaces in oil reservoir engineering.
Reviewer: M. Gaşpar (Iaşi)


65D10 Numerical smoothing, curve fitting
65D17 Computer-aided design (modeling of curves and surfaces)
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