Parametric 3D geological modeling facilitates the efficient updating of geological models. A
comprehensive review of existing geological modeling methods reveals that two critical …

Meshfree approximation methods are a relatively new area of research, and there are only a
few books covering it at present. Whereas other works focus almost entirely on theoretical …

In an attempt to introduce application scientists and graduate students to the exciting topic of
positive definite kernels and radial basis functions, this book presents modern theoretical …

Within kernel-based interpolation and its many applications, the handling of the scaling or
the shape parameter is a well-documented but unsolved problem. We consider native …

This article proposes a method of gravity inversion based on an adaptive mesh-free
approach by using a modified radial basis function (RBF). We parametrize the density …

Background: Implicit surface is a kind of surface modeling tool, which is widely used in point
cloud reconstruction, deformation and fusion due to its advantages of good smoothness and …

To dynamically update the shape of orebody according to the knowledge of a structural
geologist's insight, an approach of orebody implicit modeling from raw drillhole data using …

A common issue in multiphysics analysis regards a reliable way for loose couplings,
because the same object is modeled using different mesh refinements, each one suited for a …

Digital image correlation methods allow the determination of the displacement (and thus the
strain) field of a target by picture comparisons, without the application of strain gauges or …

Geological domains contain non-stationary features that cannot be described by a single
direction of continuity. Non-stationary estimation frameworks generate more realistic …