FIG Peer Review Journal


A New Mathematical Approach to Cadastral Documents Processing for Parcel Boundaries Restoration (2904)

Michael Klebanov and Yerach Doytsher (Israel)
Mr. Michael Klebanov
Technion – Israel Institute of Technology
Department of Transportation and
Geo-Information Engineering
Technion City, Haifa
Corresponding author Mr. Michael Klebanov (email: klebanov[at];mk1166[at], tel.: +972-3-6231936)

[ abstract ] [ handouts ] [ handouts ]

Published on the web 2008-03-21
Received 2008-01-31 / Accepted 2008-03-14
This paper is one of selection of papers published for the FIG Working Week 2008 in Stockholm, Sweden and has undergone the FIG Peer Review Process.

FIG Working Week 2008
ISBN 978-87-90907-67-9 ISSN 2307-4086


One of the most important tasks in cadastral activity is restoration of parcels boundaries that were measured and determined in the past. The restoration process is based on processing cadastral documents - field books and field sheets that include details of ground surveying of the parcels turning points. Generally, an observational redundancy occurs that gives rise to ambiguity in boundaries restoration. For the time being, some computational techniques enable obtaining turning points planar coordinates by applying straightforward calculations. The main drawback of these techniques is their inability to consider fully and optimally the information included in the field books and the field sheets. Furthermore, often certain additional information exists regarding positional constraints of the turning points, determined either in an explicit or implicit manner, which is presently not taken into consideration despite the fact that it may significantly affect the computational results. The paper introduces a new mathematical approach aimed at defining an optimal way of calculating the position of parcels boundary turning points by considering all available information recorded in cadastral documents. The documents processing is executed based on the classic Least Squares Adjustment Method that enables both optimal adjustment of redundant observations and application of functional constraints. The initial results of this new computational technique are very encouraging. The obtained results indicate a significant decrease of system noise originating in the inevitable errors that occur during ground surveying. Moreover, the proposed technique enables solving one of the critical problems of cadastral process – keeping adjusted observations and pre-defined conditions maximally close to their legal values (registered parcels fronts and areas, declared width of roads). The latter quality is of great importance for implementing the proposed technique for establishing a digital cadastre based on legal coordinates.
Keywords: Geoinformation/GI; Digital cadastre; Cadastre; cadastral document processing; boundaries restoration; least squares adjustment; constrained adjustment