Geodetic Boundary Value Problems in View of the One Centimeter Geoid

The precise determination of the figure of the Earth and its exterior gravitational field requires the solution of the geodetic boundary value problem (GBVP). Recently, a whole series of new measurement techniques has became available, in particular air- and spaceborne methods. They will make its solution much more complete and accurate and will contribute to a better understanding of ocean circulation and of the earth's interior. The text covers all aspects of the solution of the GBVP, from a mathematical basis via geodetic modelling to its relationship with advanced measurements. It provides three foundations to determine the geoid at a one centimetre precision level.