The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences
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Articles | Volume XLII-2/W4
Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci., XLII-2/W4, 135–140, 2017
https://doi.org/10.5194/isprs-archives-XLII-2-W4-135-2017
Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci., XLII-2/W4, 135–140, 2017
https://doi.org/10.5194/isprs-archives-XLII-2-W4-135-2017

  10 May 2017

10 May 2017

FITTING A POINT CLOUD TO A 3D POLYHEDRAL SURFACE

E. V. Popov and S. I. Rotkov E. V. Popov and S. I. Rotkov
  • Engineering Geometry and Computer Graphics Chair Nizhegorodsky State Architectural and Civil Engineering University, 603950, 65, Ilyinskaya Street, Nizhny Novgorod, Russia

Keywords: Contactless measurement, point clouds fitting, Stretched Grid method, Principal Component Analysis

Abstract. The ability to measure parameters of large-scale objects in a contactless fashion has a tremendous potential in a number of industrial applications. However, this problem is usually associated with an ambiguous task to compare two data sets specified in two different co-ordinate systems. This paper deals with the study of fitting a set of unorganized points to a polyhedral surface. The developed approach uses Principal Component Analysis (PCA) and Stretched grid method (SGM) to substitute a non-linear problem solution with several linear steps. The squared distance (SD) is a general criterion to control the process of convergence of a set of points to a target surface. The described numerical experiment concerns the remote measurement of a large-scale aerial in the form of a frame with a parabolic shape. The experiment shows that the fitting process of a point cloud to a target surface converges in several linear steps. The method is applicable to the geometry remote measurement of large-scale objects in a contactless fashion.