Skip to main content

Boundary Estimation in Sensor Networks: Theory and Methods

  • Conference paper
  • First Online:
Information Processing in Sensor Networks (IPSN 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2634))

Included in the following conference series:

Abstract

Sensor networks have emerged as a fundamentally new tool for monitoring spatially distributed phenomena. This paper investigates a strategy by which sensor nodes detect and estimate non-localized phenomena such as “boundaries” and “edges” (e.g., temperature gradients, variations in illumination or contamination levels). A general class of boundaries, with mild regularity assumptions, is considered, and theoretical bounds on the achievable performance of sensor network based boundary estimation are established. A hierarchical boundary estimation algorithm is proposed that achieves a near-optimal balance between mean-squared error and energy consumption.

Supported by the National Science Foundation, grant nos. MIP-9701692 and ANI-0099148, the Office of Naval Research, grant no. N00014-00-1-0390, and the Army Research Office, grant no. DAAD19-99-1-0290.

Supported by the Texas Instruments Visiting Professorship.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. L. Breiman, J. Friedman, R. Olshen, and C. J. Stone. Classification and Regression Trees. Wadsworth, Belmont, CA, 1983.

    Google Scholar 

  2. K. Chintalapudi and R. Govindan. Localized edge detection in sensor fields. University of Southern California, Computer Science Department, Technical Report, 02-773, 2002. available at http://www.cs.usc.edu/tech-reports/technical-reports.html.

  3. D. Donoho. Wedgelets: Nearly minimax estimation of edges. Ann. Statist., 27:859–897, 1999.

    Article  MATH  MathSciNet  Google Scholar 

  4. D. Ganesan, D. Estrin, and J. Heideman. DIMENSIONS: Why do we need a new data handling architecture for sensor networks? In Proceedings of IEEE/ACM HotNets-I, Princeton, NJ, October 2002.

    Google Scholar 

  5. E. Kolaczyk and R. Nowak. Multiscale likelihood analysis and complexity penalized estimation. Annals of Statistics (tentatively accepted for publication). Also available at http://www.ece.rice.edu/~nowak/pubs.html, 2002.

  6. A. P. Korostelev and A. B. Tsybakov. Minimax theory of image reconstruction. Springer-Verlag, New York, 1993.

    MATH  Google Scholar 

  7. B. Laurent and P. Massart. Adaptive estimation of a quadratic functional by model selection. The Annals of Statistics, (5), October 2000.

    Google Scholar 

  8. Q. Li and A. Barron. Mixture density estimation. In S.A. Solla, T.K. Leen, and K.-R. Müller, editors, Advances in Neural Information Processing Systems 12. MIT Press, 2000.

    Google Scholar 

  9. C. Scott and R. Nowak. Dyadic classification trees via structural risk minimization. In Proc. Neural Information Processing Systems (NIPS), Vancouver, CA, Dec. 2002.

    Google Scholar 

  10. R. Willett and R. Nowak. Platelets: A multiscale approach to recovering edges and surfaces in photon-limited imaging. IEEE Trans. Med. Imaging, to appear in the Special Issue on Wavelets in Medical Imaging, 2003.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Nowak, R., Mitra, U. (2003). Boundary Estimation in Sensor Networks: Theory and Methods. In: Zhao, F., Guibas, L. (eds) Information Processing in Sensor Networks. IPSN 2003. Lecture Notes in Computer Science, vol 2634. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36978-3_6

Download citation

  • DOI: https://doi.org/10.1007/3-540-36978-3_6

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-02111-7

  • Online ISBN: 978-3-540-36978-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics