Abstract
We introduce the concept of \((\alpha ,\delta )\)-sleeves as a variation on the well-known \(\alpha \)-shapes. The concept is used to develop a simple algorithm for constructing a rectilinear polygon inside a plane; such an algorithm can be used to delineate a building facet inside a single plane in 3D from a set of points obtained from LiDAR scanning. We explain the algorithm, analyse different parameter settings on artificial data, and show some results on LiDAR data.
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References
Brenner C (2005) Building reconstruction from images and laser scanning. Int J Appl Earth Obs 6(3–4):187–198
Buchin K, Meulemans W, Speckmann B (2011) A new method for subdivision simplification with applications to urban-area generalization. In: Proceedings SIGSPATIAL, pp 261–270
Carlberg M, Andrews J, Gao P, Zakhor A (2009) Fast surface reconstruction and segmentation with ground-based and airborne lidar range data. Technical Report ADA538860, University of California at Berkeley
de Berg M, Cheong O, van Kreveld M, Overmars M (2008) Computational geometry-algorithms and aplications. Springer, Berlin
Edelsbrunner H, Kirkpatrick DG, Seidel R (1983) On the shape of a set of points in the plane. IEEE Trans on Inf Theory 29(4):551–559
Furukawa Y, Curless B, Seitz SM, Szeliski R (2009) Manhattan-world stereo. In: IEEE Computer Society, pp 1422–1429
Hershberger J, Snoeyink J (1994) Computing minimum length paths of a given homotopy class. Comp Geom 4:63–97
John Chance Land Surveys, Fugro (2009) Fli-map specifications. http://www.flimap.com/site47.php
Marton ZC, Rusu RB, Beetz M (2009) On fast surface reconstruction methods for large and noisy point clouds. In: Proceedings ICRA, pp 2829–2834
Mayer H (2005) Scale-spaces for generalization of 3D buildings. Int J Geogr Inf Sci 19:975–997
Regnauld N, Edwardes A, Barrault M (1999) Strategies in building generalisation: modelling the sequence, constraining the choice. In: Proceedings ICA
Rottensteiner F (2003) Automatic generation of high-quality building models from lidar data. IEEE Comput Graphics Appl 23(6):42–50
Ruas A (1999) Modèle de généralisation de données géographiques à base de contraintes et d’autonomie. PhD thesis, Université de Marne la Vallée
Schnabel R, Wahl R, Klein R (2007) Efficient RANSAC for point-cloud shape detection. Comput Graphics Forum 26(2):214–226
Schwalbe E, Maas HG, Seidel F (2005) 3D building model generation from airborne laser scanner data using 2D GIS data and orthogonal point cloud projections. In: Proceedings ISPRS, pp 12–14
Seitz S, Curless B, Diebel J, Scharstein D, Szeliski R (2006) A comparison and evaluation of multi-view stereo reconstruction algorithms. In: Proceedings CVPR, vol 1, pp 519–528
Swan J, Anand S, Ware M, Jackson M (2007) Automated schematization for web service applications. In: Web and Wireless GISystems. LNCS 4857:216–226
Tseng YH, Tang KP, Chou FC (2007) Surface reconstruction from LiDAR data with extended snake theory. In: Proceedings EMMCVPR, pp 479–492
van Lankveld T, van Kreveld M, Veltkamp RC (2011) Identifying rectangles in laser range data for urban scene reconstruction. Comput Graph 35(3):719–725
Wolff A (2007) Drawing subway maps: a survey. Inform Forsch Entwickl 22(1):23–44
Yap CK (1987) An \({O} (n \log n)\) algorithm for the Voronoi diagram of a set of simple curve segments. Discrete Comput Geom 2:365–393
You S, Hu J, Neumann U, Fox P (2003) Urban site modeling from LiDAR. In: Proceedings ICCSA. LNCS, vol 2669, pp 579–588
Zhou QY, Neumann U (2008) Fast and extensible building modeling from airborne LiDAR data. In: Proceedings SIGSPATIAL, pp 1–8
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This research has been supported by the GATE project, funded by the Netherlands Organization for Scientific Research (NWO) and the Netherlands ICT Research and Innovation Authority (ICT Regie).
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van Kreveld, M., van Lankveld, T., de Rie, M. (2013). (α, δ)-Sleeves for Reconstruction of Rectilinear Building Facets. In: Pouliot, J., Daniel, S., Hubert, F., Zamyadi, A. (eds) Progress and New Trends in 3D Geoinformation Sciences. Lecture Notes in Geoinformation and Cartography. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29793-9_13
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DOI: https://doi.org/10.1007/978-3-642-29793-9_13
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