## Publications

### Gravity field of polyhedral bodies

Optimum expression for computation of the gravity field of a polyhedral body
with linearly increasing density.
Original manuscript.

Geophysical Prospecting 46, 1998, 391-404.

Derivatives of the gravity field of a homogeneous polyhedral body.

Manuscript, 2001, 1-3.

### Inverse problem of gravimetry

#### General case

Solution of the inverse problem of gravimetry for a spherical planetary
body using the decomposition of the interior potential into a series of
polyharmonic functions.
Original manuscript.

Studia Geoph. et Geod. 41, 1997, 1-14.

Method for the solution of the inverse problem of gravimetry for a planetary
body of arbitrary shape.

Contrib. Geophys. Inst. Slov. Acad. Sci. 27, 1997, 50-58.

#### Planar case

Formula for the characteristic solution of the inverse problem of gravimetry
in the case of a planar surface.

Contrib. Geoph. Geod. 28, 1998, 9-14.

Application of the harmonic inversion method to the Kolárovo gravity
anomaly.

Contrib. Geoph. Geod. 31, 2001, 603-620.

Application of the two-step method for the solution of the inverse gravity problem for the Kolárovo anomaly.

Power Point presentation, 2001.

The harmonic inversion method: calculation of the multi-domain density.

Contrib. Geoph. Geod. 33, 2003, 247-266.

Testing of the harmonic inversion method on the territory of the eastern part of Slovakia.

Power Point presentation and Video (zipped), 2003.

Testing of two variants of the harmonic inversion method on the territory of the eastern part of Slovakia.

Power Point presentation and Video (zipped), 2003.

#### Rotational ellipsoid

Solution of the Dirichlet and Neumann boundary problems for the Laplace
equation for the rotational ellipsoid by the integral equation method.

Contrib. Geophys. Inst. Slov. Acad. Sci. 25, 1995, 55-72.

Diagonality of certain functions with respect to spherical functions.

Contrib. Geophys. Inst. Slov. Acad. Sci. 26, 1996, 37-54.

A solution of the inverse problem of gravimetry for an ellipsoidal planetary
body.

Contrib. Geoph. Geod. 29, 1999, 165-192.

### Interpolation

Universal interpolation method for many-dimensional spaces.

Manuscript, 2005, 1-23.

### Viewing of data

Viewing of 2-dimensional data.

Contrib. Geoph. Geod. 35, 2005, 409-416.

### Triangular net on the sphere

The maximally regular net on the sphere.

Contrib. Geoph. Geod. 36, 2006, 115-152.

Calculation of the maximally regular net on the sphere.

Contrib. Geoph. Geod. 37, 2007, 359-376.

Maximally regular net for the rotational ellipsoid.

Contrib. Geophys. Geod. 38, 2008, 421-428.

### Rotating bodies

Gravitational field of the homogeneous rotational ellipsoidal body: a simple
derivation and applications.

Contrib. Geophys. Geod. 41, 2011, 117-157.