Applied geostatistics series. Geomodeling / Серия прикладной геостатистики. Геомоделирование

This introductory chapter presents a discrete approach specially designed for modeling the geometry and the properties of natural objects such as those encountered in biology and geology. Contrary to classical Computer-Aided Design methods based on continuous (polynomial) functions, the proposed approach is based on a discretization of the objects close to the finite element techniques used for solving partial differential equations. Each object is modeled as a set of interconnected nodes having both the geometry and the physical properties of the objects, and the Discrete Smooth Interpolation method is used for fitting the geometry and the properties to complex data. Each datum is turned into a linear constraint and some constraints related to typical information encountered in numerical geology are presented. <...>