Three dimensional solid modeling of geo-objects using non-uniform rational B-splines (NURBS)

Abstract

NURBS can describe all large complex surfaces and provide a single uniform and precise mathematical form capable of representing the common analytical shapes, primitive quadrics, and free-form curves and surfaces necessary to geologic modelling. A brief mathematical overview of 3-D curve and surface representation is given. To test the capabilities of a NURB-based system, it is applied to data from Noonen Ranch, a small oil producing field in the Denver basin of Colorado. -after Authors