nach oben

Erschienen in:

2018 | OriginalPaper | Buchkapitel

A-Contrario Horizon-First Vanishing Point Detection Using Second-Order Grouping Laws

verfasst von : Gilles Simon, Antoine Fond, Marie-Odile Berger

Erschienen in: Computer Vision – ECCV 2018

Verlag: Springer International Publishing

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

We show that, in images of man-made environments, the horizon line can usually be hypothesized based on a-contrario detections of second-order grouping events. This allows constraining the extraction of the horizontal vanishing points on that line, thus reducing false detections. Experiments made on three datasets show that our method, not only achieves state-of-the-art performance w.r.t. horizon line detection on two datasets, but also yields much less spurious vanishing points than the previous top-ranked methods.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Vorheriges Kapitel Action Anticipation with RBF Kernelized Feature Mapping RNN

Nächstes Kapitel RT-GENE: Real-Time Eye Gaze Estimation in Natural Environments

Let L be the number of bins of the histogram, M the number of data, r(a, b) the density of data with values in a bin between [a, b], and p(a, b) the prior probability for a data to have its value in a bin between [a, b]. An interval [a, b] is said to be a Meaningful Interval MI (resp. a Meaningful Gap MG) in the large deviation sense if \(r(a,b)>p(a,b)\) (resp. \(r(a,b)<p(a,b)\)) and its relative entropy H([a, b]) is greater than \(\frac{1}{M}\log \frac{L(L+1)}{2}\). It is said to be a Meaningful Mode (MM) if it is a MI and if it does not contain any MG. Finally, an interval I is a Maximal Meaningful Mode if it is a MM and if for all MMs \(J \subset I, H(J) \le H(I)\) and for all MMs \(J \supsetneq I, H(J) < H(I)\).

The external cover \(C_e\) is the boundary of the convex hull of \(K_1\cup K_2\). It may be intuitively interpreted as a closed elastic string drawn about \(K_1\) and \(K_2\). The internal cover \(C_i\) can also be considered realized by a close elastic string drawn about \(K_1\) and \(K_2\) and crossing over at a point between \(K_1\) and \(K_2\). See [11] for details.

\(BD=FD-FB=CF-FB=CE+EF-FB=AE-AC+EF-FB=EB-AC+EF-FB \iff AC+BD=EB+EF-FB=EF+EF=2EF\).

As the angle \(\theta \) between the optical axis and a vanishing direction is arc-tangential in the distance d between the VP and the PP, the propagated error \(\partial \theta /\partial d\) is inversely proportional to \(d^2\).

Almansa, A., Desolneux, A., Vamech, S.: Vanishing point detection without any a priori information. IEEE Trans. Pattern Anal. Mach. Intell. 25(4), 502–507 (2003)CrossRef

Denis, P., Elder, J.H., Estrada, F.J.: Efficient edge-based methods for estimating Manhattan frames in urban imagery. In: Forsyth, D., Torr, P., Zisserman, A. (eds.) ECCV 2008. LNCS, vol. 5303, pp. 197–210. Springer, Heidelberg (2008). https://doi.org/10.1007/978-3-540-88688-4_15CrossRef

Desolneux, A., Moisan, L., Morel, J.M.: From Gestalt Theory to Image Analysis: A Probabilistic Approach, 1st edn. Springer, New York (2007). https://doi.org/10.1007/978-0-387-74378-3CrossRef

Fond, A., Berger, M.O., Simon, G.: Facade proposals for urban augmented reality. In: IEEE International Symposium on Mixed and Augmented Reality (ISMAR) (2017)

Grompone von Gioi, R., Jakubowicz, J., Morel, J.M., Randall, G.: LSD: a line segment detector. Image Process. Line 2, 35–55 (2012). https://doi.org/10.5201/ipol.2012.gjmr-lsdCrossRef

Košecká, J., Zhang, W.: Video compass. In: Heyden, A., Sparr, G., Nielsen, M., Johansen, P. (eds.) ECCV 2002. LNCS, vol. 2353, pp. 476–490. Springer, Heidelberg (2002). https://doi.org/10.1007/3-540-47979-1_32CrossRef

Lee, D.C., Hebert, M., Kanade, T.: Geometric reasoning for single image structure recovery. In: IEEE Conference on Computer Vision and Pattern Recognition (CVPR) (2009)

Lezama, J., Grompone von Gioi, R., Randall, G., Morel, J.M.: Finding vanishing points via point alignments in image primal and dual domains. In: IEEE Conference on Computer Vision and Pattern Recognition (CVPR) (2014)

Lezama, J., Morel, J.M., Randall, G., Grompone von Gioi, R.: A contrario 2D point alignment detection. IEEE Trans. Pattern Anal. Mach. Intell. 37(3), 499–512 (2015). https://doi.org/10.1109/TPAMI.2014.2345389CrossRef

10.

Lu, Y., Song, D., Xu, Y., Perera, A.G.A., Oh, S.: Automatic building exterior mapping using multilayer feature graphs. In: IEEE International Conference on Automation Science and Engineering (CASE) (2013)

11.

Santalò, L.: Integral Geometry and Geometric Probability. Cambridge University Press, Cambridge (2004)CrossRef

12.

Simon, G., Fond, A., Berger, M.O.: A simple and effective method to detect orthogonal vanishing points in uncalibrated images of man-made environments. In: EUROGRAPHICS (2016)

13.

Tardif, J.P.: Non-iterative approach for fast and accurate vanishing point detection. In: IEEE International Conference on Computer Vision (ICCV) (2009)

14.

Tretyak, E., Barinova, O., Kohli, P., Lempitsky, V.: Geometric image parsing in man-made environments. Int. J. Comput. Vis. (IJCV) 97(3), 305–321 (2012)CrossRef

15.

Vedaldi, A., Zisserman, A.: Self-similar sketch. In: Fitzgibbon, A., Lazebnik, S., Perona, P., Sato, Y., Schmid, C. (eds.) ECCV 2012. LNCS, pp. 87–100. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-33709-3_7CrossRef

16.

Wildenauer, H., Hanbury, A.: Robust camera self-calibration from monocular images of Manhattan worlds. In: IEEE Conference on Computer Vision and Pattern Recognition (CVPR) (2012)

17.

Xu, Y., Oh, S., Hoogs, A.: A minimum error vanishing point detection approach for uncalibrated monocular images of man-made environments. In: IEEE Conference on Computer Vision and Pattern Recognition (CVPR) (2013)

18.

Zhai, M., Workman, S., Jacobs, N.: Detecting vanishing points using global image context in a non-manhattan world. In: IEEE Conference on Computer Vision and Pattern Recognition (CVPR) (2016)

Titel: A-Contrario Horizon-First Vanishing Point Detection Using Second-Order Grouping Laws
verfasst von: Gilles Simon
Antoine Fond
Marie-Odile Berger
Verlag: Springer International Publishing
Buch: Computer Vision – ECCV 2018
Print ISBN: 978-3-030-01248-9

Electronic ISBN: 978-3-030-01249-6

Copyright-Jahr: 2018
DOI: https://doi.org/10.1007/978-3-030-01249-6_20

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"

Premium Partner