skip to main content
research-article

Convex Partitioning of Large-Scale Sensor Networks in Complex Fields: Algorithms and Applications

Published:06 May 2014Publication History
Skip Abstract Section

Abstract

When a sensor network grows large, or when its topology becomes complex (e.g., containing many holes), network algorithms designed with a smaller or simpler setting in mind may be rendered rather inefficient. We propose to address this problem using a divide and conquer approach: the network is divided into convex pieces by a distributed convex partitioning protocol, using connectivity information only. A convex network partition exhibits some desirable properties that allow traditional algorithms to work to their full advantage. Based on this, we can achieve relatively high performance for an algorithm by combining algorithmic actions within individual partitions. We consider two important applications: virtual-coordinate-based geographic routing and connectivity-based localization. The former benefits from convex partition's friendliness to network embedding, which is crucial to generating accurate virtual coordinates for the nodes, while the latter leverages the fact that shortest paths are largely straight for node pairs within a convex partition. Experimental results show that the convex partition approach can significantly improve the performance of both applications in comparison with state-of-the-art solutions.

References

  1. N. Arad and Y. Shavitt. 2006. Minimizing recovery state in geographic ad-hoc routing. In Proceedings of ACM MobiHoc. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. A. Arora, R. Ramnath, and P. Sinha. 2005. Project exscal. In Proceedings of the 1st International IEEE Conference on Distributed Computing in Sensor Systems (DCOSS). Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. J. Bruck, J. Gao, and A. Jiang. 2005. MAP: Medial axis based geometric routing in sensor networks. In Proceedings of ACM MOBICOM. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. Q. Cao and T. Abdelzaher. 2004. A scalable logical coordinates framework for routing in wireless sensor networks. In Proceedings of IEEE Real-Time Systems Symposium (RTSS). Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. A. Caruso, A. Urpi, S. Chessa, and S. De. 2005. GPS free coordinate assignment and routing in wireless sensor networks. In Proceedings of IEEE INFOCOM.Google ScholarGoogle Scholar
  6. F. Dabek, R. Cox, F. Kaashoek, and R. Morris. 2004. Vivaldi: A decentralized network coordinate system. In Proceedings of ACM SIGCOMM. Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. Q. Fang, J. Gao, L. Guibas, V. de Silva, and L. Zhang. 2005. GLIDER: Gradient landmark-based distributed routing for sensor networks. In Proceedings of IEEE INFOCOM.Google ScholarGoogle Scholar
  8. S. P. Fekete, A. Kroeller, D. Pfisterer, S. Fischer, and C. Buschmann. 2004. Neighborhood-based topology recognition in sensor networks. In Proceedings of Algorithmic Aspects of Wireless Sensor Networks: First International Workshop (ALGOSENSOR).Google ScholarGoogle Scholar
  9. R. Fonseca, S. Ratnasamy, J. Zhao, C. T. Ee, D. Culler, S. Shenker, and I. Stoica. 2005. Beacon vector routing: Scalable point-to-point routing in wireless sensornets. In Proceedings of USENIX NSDI. Google ScholarGoogle ScholarDigital LibraryDigital Library
  10. S. Funke. 2005. Topological hole detection in wireless sensor networks and its applications. In Proceedings of the Joint Workshop on Foundations of Mobile Computing (DIALM-POMC). Google ScholarGoogle ScholarDigital LibraryDigital Library
  11. H. Jiang, T. Yu, C. Tian, G. Tan, and C. Wang. 2012. CONSEL: Connectivity-based segmentation in large-scale 2D/3D sensor networks. In Proceedings of IEEE INFOCOM.Google ScholarGoogle Scholar
  12. B. Karp and H. T. Kung. 2000. GPSR: Greedy perimeter stateless routing for wireless networks. In Proceedings of ACM MOBICOM. Google ScholarGoogle ScholarDigital LibraryDigital Library
  13. A. Kroller, S. Fekete, D. Pfisterer, and S. Fischer. 2006. Deterministic boundary recognition and topology extraction for large sensor networks. In Proceedings of ACM-SIAM SODA. Google ScholarGoogle ScholarDigital LibraryDigital Library
  14. F. Kuhn, R. Wattenhofer, Y. Zhang, and A. Zollinger. 2003. Geometric ad-hoc routing: Of theory and practice. In Proceedings of ACM PODC. Google ScholarGoogle ScholarDigital LibraryDigital Library
  15. F. Kuhn, R. Wattenhofer, and A. Zollinger. 2002. A asymptotically optimal geometric mobile ad hoc routing. In Proceedings of ACM DIALM-POMC Joint Workshop on Foundations of Mobile Computing. Google ScholarGoogle ScholarDigital LibraryDigital Library
  16. S. Lederer, Y. Wang, and J. Gao. 2008. Connectivity-based localization of large scale sensor networks with complex shape. In Proceedings of IEEE INFOCOM.Google ScholarGoogle Scholar
  17. B. Leong, B. Liskov, and R. Morris. 2007. Greedy virtual coordinates for geographic routing. In Proceedings of IEEE ICNP.Google ScholarGoogle Scholar
  18. Mo Li and Yunhao Liu. 2007. Rendered Path: Range-free localization in anisotropic sensor networks with holes. In Proceedings of ACM MOBICOM. Google ScholarGoogle ScholarDigital LibraryDigital Library
  19. J-M Lien and N. M. Amato. 2004. Approximate convex decomposition of polygons. In Proceedings of ACM Symposium on Computational Geometry (SoCG). Google ScholarGoogle ScholarDigital LibraryDigital Library
  20. A. Lingas. 1982. The power of non-rectilinear holes. In Proceedings of the 9th International Colloqnium Automata Languages Program. Google ScholarGoogle ScholarDigital LibraryDigital Library
  21. W. Liu, D. Wang, H. Jiang, W. Liu, and C. Wang. 2012. Approximate convex decomposition based localization in wireless sensor networks. In Proceedings of IEEE INFOCOM.Google ScholarGoogle Scholar
  22. Y. Lu, J.-M. Lien, M. Ghosh, and N. Amato. 2012. Alpha-decomposition of polygons. In Proceedings of Shape Modeling International.Google ScholarGoogle Scholar
  23. J. Newsome and D. Song. 2003. GEM: Graph embedding for routing and data-centric storage in sensor networks without geographic information. In Proceedings of ACM SENSYS. Google ScholarGoogle ScholarDigital LibraryDigital Library
  24. A. Nguyeny, N. Milosavljevic, Q Fang, J. Gao, and L. J. Guibas. 2008. Landmark selection and greedy landmark-descent routing for sensor networks. In Proceedings of IEEE INFOCOM.Google ScholarGoogle Scholar
  25. A. Rao, S. Ratnasamy, C. Papadimitriou, S. Shenker, and I. Stoica. 2003. Geographic routing without location information. In Proceedings of ACM MOBICOM. Google ScholarGoogle ScholarDigital LibraryDigital Library
  26. Z. Ren, J. Yuan, C. Li, and W. Liu. 2011. Minimum near-convex decomposition for robust shape representation. In Proceedings of ICCV. Google ScholarGoogle ScholarDigital LibraryDigital Library
  27. J.-R. Sack and J. Urrutia. 2000. Handbook of Computational Geometry. Elsevier Science Publishers, B. V. North-Holland, Amsterdam. Google ScholarGoogle ScholarDigital LibraryDigital Library
  28. Y. Shang and W. Ruml. 2004. Improved MDS-based localization. In Proceedings of IEEE INFOCOM.Google ScholarGoogle Scholar
  29. Y. Shang, W. Ruml, Y. Zhang, and M. P. J. Fromherz. 2003. Localization from mere connectivity. In Proceedings of ACM MOBIHOC. Google ScholarGoogle ScholarDigital LibraryDigital Library
  30. M. Tsai, H. Yang, and W. Huang. 2008. Axis-based virtual coordinate assignment protocol and delivery-guaranteed routing protocol in wireless sensor networks. In Proceedings of IEEE INFOCOM.Google ScholarGoogle Scholar
  31. Y. Wang, J. Gao, and J. S. B. Mitchell. 2006. Boundary recognition in sensor networks by topological methods. In Proceedings of ACM MOBICOM. Google ScholarGoogle ScholarDigital LibraryDigital Library
  32. Y. Wang, S. Lederer, and J. Gao. 2009. Connectivity-based sensor network localization with incremental delaunay refinement method. In Proceedings of IEEE INFOCOM.Google ScholarGoogle Scholar
  33. Y. Zhao, B. Li, Q. Zhang, Y. Chen, and W. Zhu. 2005. Hop ID based routing in mobile ad hoc networks. In Proceedings of IEEE ICNP. Google ScholarGoogle ScholarDigital LibraryDigital Library
  34. X. Zhu, R. Sarkar, and J. Gao. 2008. Shape segmentation and applications in sensor networks. In Proceedings of IEEE INFOCOM.Google ScholarGoogle Scholar

Index Terms

  1. Convex Partitioning of Large-Scale Sensor Networks in Complex Fields: Algorithms and Applications

    Recommendations

    Comments

    Login options

    Check if you have access through your login credentials or your institution to get full access on this article.

    Sign in

    Full Access

    • Published in

      cover image ACM Transactions on Sensor Networks
      ACM Transactions on Sensor Networks  Volume 10, Issue 3
      April 2014
      509 pages
      ISSN:1550-4859
      EISSN:1550-4867
      DOI:10.1145/2619982
      Issue’s Table of Contents

      Copyright © 2014 ACM

      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

      Publisher

      Association for Computing Machinery

      New York, NY, United States

      Publication History

      • Published: 6 May 2014
      • Accepted: 1 June 2013
      • Revised: 1 April 2013
      • Received: 1 June 2012
      Published in tosn Volume 10, Issue 3

      Permissions

      Request permissions about this article.

      Request Permissions

      Check for updates

      Qualifiers

      • research-article
      • Research
      • Refereed

    PDF Format

    View or Download as a PDF file.

    PDF

    eReader

    View online with eReader.

    eReader