Analysis of Shift and Deformation of Planar Surfaces Using the Least Squares Plane

Hrvoje Matijević, Miljenko Lapaine, Zdravko Kapović


Modern methods of measurement developed on the basis of advanced reflectorless distance measurement have paved the way for easier detection and analysis of shift and deformation. A large quantity of collected data points will often require a mathematical model of the surface that fits best into these. Although this can be a complex task, in the case of planar surfaces it is easily done, enabling further processing and analysis of measurement results. The paper describes the fitting of a plane to a set of collected points using the least squares distance, with previously excluded outliers via the RANSAC algorithm. Based on that, a method for analysis of the deformation and shift of planar surfaces is also described.


laser scanning; plane fitting; analysis of deformation; detection of shift

Full Text:

PDF PDF (Hrvatski)

Copyright (c) 2013 Hrvoje Matijević, Miljenko Lapaine, Zdravko Kapović

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

The Kartografija i Geoinformacije (Cartography and Geoinformation) journal publishes scientific and professional papers from cartography and other fields (geography, geodesy, geology, forestry, agronomy, history, architecture, pedagogy ...) if they are related to cartography and geoinformation.
We invite authors of papers or contributions to submit text in English (and Croatian if possible) using this site.

The Croatian Cartographic Society (CCS) does not necessarily endorse any opinions or recommendations made in article, review or extract contained in this journal nor do they necessarily represent CCS policy.
© CCS, Journal content is published under CC BY-SA licence.