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Multiple Plane Detection Method from Range Data of Digital Imaging System for Moving Robot Applications

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Visual Computing

Part of the book series: Augmented Vision and Reality ((Augment Vis Real,volume 4))

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Abstract

Imaging system using CCD sensors for automatic navigation of intelligent robot is a central element to recognize and interact with the surrounding environment. Specifically, finding a planar surface on 3D space is very important for efficient and safe operation of a mobile robot. In this chapter, a noise rejection filter is introduced for defining planar surfaces to reduce the voting of noisy data. We test the normal directions of two arbitrary planes in a small region, which are determined by three vertexes of a triangle and its rotation. If the angle of two normal directions is lower than a given threshold, it is voted into the Hough parameter space. This method is similar to a noise rejection filter to verify the planarity of local planes. We can get accurate parameters of the plane in RHT because most noises and nonplanar data cannot vote into the Hough parameter space. We use a scan window to vote locally. The scan window explores all regions by changing the window size. The window operation improves the accuracy of plane detection because the plane is locally consistent and increases the search speed for finding planes. Finally, the performance of the algorithm for real range data obtained from a stereo imaging system has been verified.

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Abbreviations

CHT:

Combinatorial Hough transform

DGHT:

Dynamic generalized Hough transform

HT:

Hough transform

IRHT:

Iteractive randomized Hough transform

KIAT:

Korea Institute for Advancement of Technology

LUT:

Look up table

MEST:

Ministry of Education, Science Technology

NRF:

National Research Foundation of Korea

PDC:

Plane detection cell

RHT:

Randomized Hough transform

References

  1. Okada, K., Kagami, S., Inaba, J., Inoue, H.: Plane segment finder: algorithm, implementation and applications. In: IEEE International Conference Robotics Automation, pp. 2051–2058 (2001)

    Google Scholar 

  2. Illingworth, J., Kittler, J.: A survey of the Hough transform. Comput. Vision Graphics Image Process. 44 (1), 87–116 (1988)

    Google Scholar 

  3. Ben-Tzvi, D., Sandler, M.B.: A combinatorial Hough transform. Pattern Recogn. Lett. 11, 167–174 (1990)

    Article  MATH  Google Scholar 

  4. Xu, L., Oja, E.: Randomized Hough transform (RHT): basic mechanisms, algorithms, and computational complexities. CVGIP: Image Underst. 57, 131–154 (1993)

    Article  Google Scholar 

  5. Xu, L., Oja, E., Kultanen, P.: A new curve detection method: randomized Hough transform (RHT). Pattern Recogn. Lett. 11, 331–338 (1990)

    Article  MATH  Google Scholar 

  6. Kiryati, N., Eldar, Y., Bruckstein, A.M.: Probabilistic Hough transform. Pattern Recogn. Lett. 24, 303–316 (1991)

    Article  MathSciNet  Google Scholar 

  7. Leavers, V.F.: The dynamic generalized Hough transform: its relationship to the probabilistic Hough transforms and an application to the concurrent detection of circles and ellipses. CVGIP: Image Underst. 56, 381–398 (1992)

    Article  MATH  Google Scholar 

  8. Kang, D.J., Lim, S.J., Ha, J.E., Jeong, M.H.: A detection cell using multiple points of a rotating triangle to find local planar regions from stereo depth data. Pattern Recog. Lett. 30, 486–493 (2009)

    Article  Google Scholar 

  9. Kälviäinen, H., Hirvonen, P., Xu, L., Oja, E.: Comparisons of probabilistic and non-probabilistic Hough transforms. In: Proceedings 3rd European Conference on Computer Vision, pp. 351–360 (1990)

    Google Scholar 

  10. Viola, P., Jones, M.: Rapid object detection using a boosted cascade of simple features. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (2001)

    Google Scholar 

  11. Lu, W., Tan, J.: Detection of incomplete ellipse in images with strong noise by iterative randomized Hough transform (IRHT). Pattern Recogn. 41, 1268–1279 (2008)

    Article  MATH  Google Scholar 

  12. Point Grey company page. http://www.ptgrey.com

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Acknowledgment

This work was partly supported by the Ministry of Education, Science Technology (MEST) and Korea Institute for Advancement of Technology (KIAT) through the Human Resource Training Project for Regional Innovation, and Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2010-0027990) and the IT R&D program of MSIP/KEIT [Industry convergence original technology development projects, Development of context awareness monitoring and search system based on high definition multi-video].

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Correspondence to Dong-Joong Kang .

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Kim, JH., Teng, Z., Kang, DJ., Ha, JE. (2014). Multiple Plane Detection Method from Range Data of Digital Imaging System for Moving Robot Applications. In: Rodrigues Leta, F. (eds) Visual Computing. Augmented Vision and Reality, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55131-4_11

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  • DOI: https://doi.org/10.1007/978-3-642-55131-4_11

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-55130-7

  • Online ISBN: 978-3-642-55131-4

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