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A Linear Time Algorithm of Computing Hausdorff Distance for Content-based Image Analysis

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Abstract

The Hausdorff distance is a very important metric for various image applications in computer vision including image matching, moving-object detection, tracking and recognition, shape retrieval and content-based image analysis. However, no efficient algorithm has been reported that computes the exact Hausdorff distance in linear time for comparing two images. Very few methods have been proposed to compute the approximate Hausdorff distance with higher approximation error. In this paper, we propose a linear time algorithm for computing the approximated Hausdorff distance with lower approximation error. The proposed method is effective to reduce the processing time, while minimizing the error rate in content-based image processing and analysis.

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Authors and Affiliations

  1. Centre for Image Processing and Analysis, Dublin City University, Glasnevin, Dublin 9, Ireland

    M. Julius Hossain

  2. Department of Electrical and Computer Engineering, Concordia University, Montreal, Quebec, H3G 1M8, Canada

    M. Ali Akber Dewan

  3. Department of Computer Engineering, Kyung Hee University, Seochun ri, Kihung eup, Yongin si, Kyonggi do, 449-701, South Korea

    Kiok Ahn & Oksam Chae

Authors
  1. M. Julius Hossain
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  2. M. Ali Akber Dewan
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  3. Kiok Ahn
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  4. Oksam Chae
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Correspondence to Oksam Chae.

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Hossain, M.J., Dewan, M.A.A., Ahn, K. et al. A Linear Time Algorithm of Computing Hausdorff Distance for Content-based Image Analysis. Circuits Syst Signal Process 31, 389–399 (2012). https://doi.org/10.1007/s00034-011-9284-y

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  • DOI: https://doi.org/10.1007/s00034-011-9284-y

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