Article

Approximate isocontours and spatial summaries for sensor networks

Authors:

John Hershberger,

Subhash SuriAuthors Info & Claims

IPSN '07: Proceedings of the 6th international conference on Information processing in sensor networks

Pages 400 - 409

https://doi.org/10.1145/1236360.1236411

Published: 25 April 2007 Publication History

Abstract

We consider the problem of approximating a family of isocontours in a sensor fleld with a topologically-equivalent family of simple polygons. Our algorithm is simple and distributed, it gracefully adapts to any user-specified representation size k, and it delivers a worst-case guarantee for the quality of approximation. In particular, we prove that the topology-respecting Hausdorff error in our k -vertex approximation is within a small constant factor of the optimal error possible with Θ(k/log m) vertices, where m is the number of contours. Evaluation of the algorithm on real data suggests that the size increase factor in practice is a constant near 2 .6, and shows no error increase. Our simulation results using a variety of synthetic and real data show that the algorithm smoothly handles complex isocontours, even for representation sizes as small as 32 or 48. Because isocontours are widely used to represent and communicate bi-variate signals, our technique is broadly applicable to innetwork aggregation and summarization of spatial data in sensor networks.

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Cited By

Alasti H(2021)Communication-Efficient Tracking of Unknown, Spatially Correlated Signals in Ad-Hoc Wireless Sensor Networks: Two Machine Learning ApproachesSensors10.3390/s2115517521:15(5175)Online publication date: 30-Jul-2021
https://doi.org/10.3390/s21155175
Alasti H(2021)Efficient tracking of spatially correlated signals in wireless sensor fields: A weighted stochastic gradient approachIET Wireless Sensor Systems10.1049/wss2.1201211:2(78-90)Online publication date: 22-Feb-2021
https://doi.org/10.1049/wss2.12012
Alasti H(2020)An Efficient Accelerated Learning Algorithm For Tracking Of Unknown, Spatially Correlated Signals In Ad-Hoc Wireless Sensor Networks2020 11th IEEE Annual Ubiquitous Computing, Electronics & Mobile Communication Conference (UEMCON)10.1109/UEMCON51285.2020.9298182(0813-0819)Online publication date: 28-Oct-2020
https://doi.org/10.1109/UEMCON51285.2020.9298182
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Index Terms

Approximate isocontours and spatial summaries for sensor networks
1. Mathematics of computing
  1. Mathematical analysis
    1. Functional analysis
      1. Approximation
2. Theory of computation
  1. Design and analysis of algorithms
    1. Approximation algorithms analysis

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cover image ACM Conferences

IPSN '07: Proceedings of the 6th international conference on Information processing in sensor networks

April 2007

592 pages

ISBN:9781595936387

DOI:10.1145/1236360

General Chair:
Tarek Abdelzaher
University of Illinois at Urbana-Champaign
,
Program Chairs:
Leo Guibas
Stanford University
,
Matt Welsh
Harvard University

Copyright © 2007 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]

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Publication History

Published: 25 April 2007

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IPSN07

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IPSN07: The 6th International Conference on Information Processing in Sensor Networks

April 25 - 27, 2007

Massachusetts, Cambridge, USA

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Overall Acceptance Rate 143 of 593 submissions, 24%

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Cited By

Alasti H(2021)Communication-Efficient Tracking of Unknown, Spatially Correlated Signals in Ad-Hoc Wireless Sensor Networks: Two Machine Learning ApproachesSensors10.3390/s2115517521:15(5175)Online publication date: 30-Jul-2021
https://doi.org/10.3390/s21155175
Alasti H(2021)Efficient tracking of spatially correlated signals in wireless sensor fields: A weighted stochastic gradient approachIET Wireless Sensor Systems10.1049/wss2.1201211:2(78-90)Online publication date: 22-Feb-2021
https://doi.org/10.1049/wss2.12012
Alasti H(2020)An Efficient Accelerated Learning Algorithm For Tracking Of Unknown, Spatially Correlated Signals In Ad-Hoc Wireless Sensor Networks2020 11th IEEE Annual Ubiquitous Computing, Electronics & Mobile Communication Conference (UEMCON)10.1109/UEMCON51285.2020.9298182(0813-0819)Online publication date: 28-Oct-2020
https://doi.org/10.1109/UEMCON51285.2020.9298182
Alasti H(2017)An on-demand compressed sensing approach for spatial monitoring of correlated big data using multi-contours in dense wireless sensor network2017 IEEE International Conference on Wireless for Space and Extreme Environments (WiSEE)10.1109/WiSEE.2017.8124898(86-91)Online publication date: Oct-2017
https://doi.org/10.1109/WiSEE.2017.8124898
Avci BZhang BHussain MTrajcevski GLédecz ÁDutta PLu C(2014)Evolving shapes in wireless sensor networksProceedings of the 12th ACM Conference on Embedded Network Sensor Systems10.1145/2668332.2668376(320-321)Online publication date: 3-Nov-2014
https://dl.acm.org/doi/10.1145/2668332.2668376
Avci BTrajcevski GScheuermann P(2014)Managing evolving shapes in sensor networksProceedings of the 26th International Conference on Scientific and Statistical Database Management10.1145/2618243.2618264(1-12)Online publication date: 30-Jun-2014
https://dl.acm.org/doi/10.1145/2618243.2618264
Serna MBermudez ACasado R(2013)Circle-based approximation to forest fires with distributed wireless sensor networks2013 IEEE Wireless Communications and Networking Conference (WCNC)10.1109/WCNC.2013.6555274(4329-4334)Online publication date: Apr-2013
https://doi.org/10.1109/WCNC.2013.6555274
Serna MBermudez ACasado R(2013)Hull-based approximation to forest fires with distributed wireless sensor networks2013 IEEE Eighth International Conference on Intelligent Sensors, Sensor Networks and Information Processing10.1109/ISSNIP.2013.6529800(265-270)Online publication date: Apr-2013
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Hubbell NHan Q(2012)DRAGONIEEE Transactions on Parallel and Distributed Systems10.1109/TPDS.2011.26423:7(1193-1204)Online publication date: 1-Jul-2012
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Peng SXing GLi SJia WPeng Y(2012)Fast Release/Capture Sampling in Large-Scale Sensor NetworksIEEE Transactions on Mobile Computing10.1109/TMC.2011.15211:8(1274-1286)Online publication date: 1-Aug-2012
https://dl.acm.org/doi/10.1109/TMC.2011.152
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