Skip to main content

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 345))

  • 193 Accesses

Abstract

Beamlet [1.] is an efficient tool for multiscale image analysis. A fast algorithm for discrete beamlet transform [2.] is proposed. It greatly reduces the complexity for computing the coordinates of pixels on beamlets, and concentrates the beamlet transform on summation of the pixel grayscale values. This paper also improves Donoho’s method of using complexity-penalized energy [1.] to extract multiscale linear features. It establishes the two-scale relationship of the maximal beamlet energy in the dyadic square, and presents a threshold-processed maximal beamlet energy algorithm which can avoid the problem of selecting penalty factor. Experimental results prove the efficiency of the method proposed.

This project is sponsored by SRF for ROCS, SEM (2004.176.4) and NSF SD Province (Z2004G01) of China.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
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. David L.D., Huo X.M.: Beamlets and Multiscale Image Analysis, in In Multiscale and Multiresolution Methods, Lecture Notes in Computational Science and Engineering, 20 (2001)

    Google Scholar 

  2. Huo X.M., Chen J.H.: JBEAM: Multiscale Curve Coding via Beamlets. IEEE Transaction on Image Processing, 14 (2005)

    Google Scholar 

  3. Shi Q.F., and Zhang Y.N.: Adaptive Linear Feature Detection Based on Beamlet, Processings of the Third International Conference on Machine Learning and Cybernetics, Shanghai, (2004) 26–29

    Google Scholar 

  4. David L. D., Huo X.M.: Beamlet Pyramids: A New Form of Multiresolution Analysis, suited for Extracting Lines, Curves, and Objects from Very Noisy Image Data, SPIE2000, (2000)

    Google Scholar 

  5. David L.D., Huo X.M.: Near-Optimal Detection of Geometric Objects by Fast Multiscale Methods. IEEE Transactions on Information Theory, 51(7) (2005)

    Google Scholar 

  6. Bresenham J.E.: Algorithm for Computer Control of a Digital Plotter. IBM Systems Journal, 4(1) (1965) 25–30

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Yang, M., Peng, Y., Zhou, X. (2006). Multiscale Linear Feature Extraction Based on Beamlet Transform. In: Huang, DS., Li, K., Irwin, G.W. (eds) Intelligent Computing in Signal Processing and Pattern Recognition. Lecture Notes in Control and Information Sciences, vol 345. Springer, Berlin, Heidelberg . https://doi.org/10.1007/978-3-540-37258-5_36

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-37258-5_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37257-8

  • Online ISBN: 978-3-540-37258-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics