Modeling of regional magnetic field applying spherical functions: practical aspect

Regional gravity modeling in terms of spherical base functions

This article provides a survey on modern methods of regional gravity field modeling on the sphere. Starting with the classical theory of spherical harmonics,weoutline the transition towards space-localizing methods such as spherical splines and wavelets. Special emphasis is given to the relations among these methods, which all involve radial base functions. Moreover, we provide extensive applic...

Integral Properties of Zonal Spherical Functions, Hypergeometric Functions and Invariant

Some integral properties of zonal spherical functions, hypergeometric functions and invariant polynomials are studied for real normed division algebras.

The Choice of the Spherical Radial Basis Functions in Local Gravity Field Modeling

The choice of the optimal spherical radial basis function (SRBF) in local gravity field modelling from terrestrial gravity data is investigated. Various types of SRBFs are considered: the point-mass kernel, radial multipoles, Poisson wavelets, and the Poisson kernel. The analytical expressions for the Poisson kernel, the point-mass kernel and the radial multipoles are well known, while for the ...

On Padé Approximation of Some Practical Functions

Eight Practical Considerations in Applying Feature Modeling for Product Lines

Feature modeling has enjoyed success as a widely used variability modeling method in companies utilizing product lines. A number of different feature modeling methods have been proposed with expanded notational concepts and ability to model various dependencies among features. Despite popular usage and relatively simple concepts, different feature modeling methods tend not to explicate their pu...