Abstract
This work reviews the anisotropic row-scaling variant of the Procrustes analysis algorithms applied to develop new analytical tools for solving classical photogrammetric Computer Vision problems. In Garro et al. (Solving the pnp problem with anisotropic orthogonal procrustes analysis, 2012) the anisotropic row-scaling Procrustes analysis was first applied to perform the exterior orientation of one image. Moreover Fusiello and Crosilla (ISPRS J Photogrammetry and Remote Sens 102:209–221, 2015) provided a Procrustean formulation of the photogrammetric bundle block adjustment problem. Procrustean methods do not require any linearization nor approximated values of the unknown parameters and the results obtained are comparable in terms of accuracy with those given by the state-of-the-art methods.
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Notes
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The vec operator transforms a matrix into a vector by stacking its columns.
References
Akca D (2003) Generalized procrustes analysis and its applications in photogrammetry. Internal Technical Report at the Institute of Geodesy and Photogrammetry—ETH, Zurich
Bennani Dosse M, Ten Berge J (2010) Anisotropic orthogonal procrustes analysis. J Classif 27(1):111–128
Commandeur JJF (1991) Matching configurations. DSWO Press
Crosilla F (1999) Procrustes analysis and geodetic sciences. In: Quo vadis geodesia?, vol 1. Department of Geodesy and GeoInformatics, University of Stuttgart, pp 69–78
Crosilla F, Beinat A (2002) Use of generalised procrustes analysis for the photogrammetric block adjustment by independent models. ISPRS J Photogramm Remote Sens 56(3):195–209
Fusiello A, Crosilla F (2015) Solving bundle block adjustment by generalized anisotropic procrustes analysis. ISPRS J Photogrammetry and Remote Sens 102:209–221. doi:10.1016/j.isprsjprs.2015.02.002
Fusiello A, Crosilla F (2016) Fast and resistant procrustean bundle adjustment. ISPRS Ann Photogramm Remote Sens Spat Inf Sci III-3:35–41. doi:10.5194/isprs-annals-III-3-35-2016
Fusiello A, Maset E, Crosilla F (2013) Reliable exterior orientation by a robust anisotropic orthogonal procrustes algorithm. In: Proceedings of the ISPRS workshop 3D-ARCH 2013: 3D virtual reconstruction and visualization of complex architectures, ISPRS Archives, vol XL-5/W1, pp 81–86
Fusiello A, Crosilla F, Malapelle F (2015) Procrustean point-line registration and the NPnP problem. In: International conference on 3D vision (3DV), 2015, IEEE, pp 250–255
Garro V, Crosilla F, Fusiello A (2012) Solving the pnp problem with anisotropic orthogonal procrustes analysis. In: Second Joint 3DIM/3DPVT conference: 3D imaging, modeling, processing, visualization and transmission
Gower J (1975) Generalized procrustes analysis. Psychometrika 40(1):33–51
Schönemann P, Carroll R (1970) Fitting one matrix to another under choice of a central dilation and a rigid motion. Psychometrika 35(2):245–255
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Crosilla, F., Maset, E., Fusiello, A. (2018). Procrustean Photogrammetry: From Exterior Orientation to Bundle Adjustment. In: Cefalo, R., Zieliński, J., Barbarella, M. (eds) New Advanced GNSS and 3D Spatial Techniques. Lecture Notes in Geoinformation and Cartography. Springer, Cham. https://doi.org/10.1007/978-3-319-56218-6_12
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DOI: https://doi.org/10.1007/978-3-319-56218-6_12
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