The positional accuracy of the land cadastral index map (a graphical presentation termed `ZKP'), as one of the basic elements of spatial database quality, isotopic of on-going interest in the Republic of Slovenia. Mainly due to the pressures of institutional and other users of these data, the Surveying and Mapping Authority of the Republic of Slovenia has decided to implement improvements. At the Department of Geodesy, Faculty of Civil and Geodetic Engineering, University of Ljubljana, a working group was established in order to analyse and test in particular the so-called membrane method for this purpose. At the beginning, we started to develop our own program for the finite element method of geodetic adjustments, and then we continued to test the commercial solution of German provider. The membrane method, together with additional measurements, provides the possibility for an effective improvement of the heterogeneity of land cadastral graphical presentation (ZKP), where the basic principles of geodesy must be strongly respected (methods of the coordinate geometry topology, adjustments, error propagation law, etc.). This article is meant to introduce existing and possible solutions for the improvements of the positional accuracy of the ZKP and not to present the results of our first research.