According to the wide spread use of satellitebased positioning techniques, especially Global Navigation
Satellite Systems (GNSS), a greater attention has been paid
to the precise determination of geoid models. As it is
known, leveling measurements require high cost and long
time in observation process that make it not convenient for
the practical geodetic purposes. Thus obtaining the orthometric heights by GNSS is the most conventional way of
determining these heights. Verifying this goal was the main
objective behind the current research. The current research
introduces a numerical solution of geoid modeling by
applying a surface fitting for a few sparse data points of
geoid undulation using minimum curvature surface (MCS).
The MCS is presented for deriving a system of linear
equations from boundary integral equations. To emphasize
the precise applicability of the MCS as a tool for modeling the
geoid in an area using GPS/leveling data, a comparison study
between EGM2008 and MCS geoid models, is performed.
The obtained results showed that MCS technique is a precise
tool for determining the geoid in Egypt either on regional and/
or local scale with law distortion at check points.