Advanced search
Publication Cover
The Imaging Science Journal Volume 61, 2013 - Issue 2
Submit an article Journal homepage
122
Views
1
CrossRef citations to date
0
Altmetric
Original Article

An overview of LULU operators and discrete pulse transform for image analysis

R Rahmat Center for Intelligent Signal and Imaging ResearchDepartment of Electrical and Electronic Engineering, Universiti Teknologi PETRONAS, Perak, Malaysia
,
A S Malik Center for Intelligent Signal and Imaging ResearchDepartment of Electrical and Electronic Engineering, Universiti Teknologi PETRONAS, Perak, MalaysiaCorrespondence[email protected]
,
I Faye Department of Fundamental and Applied ScienceUniversiti Teknologi PETRONAS, Perak, Malaysia
,
N Kamel Center for Intelligent Signal and Imaging ResearchDepartment of Electrical and Electronic Engineering, Universiti Teknologi PETRONAS, Perak, Malaysia
&
H NisarDepartment of Electronic Engineering, Faculty of Engineering and Green Technology, Universiti Tunku Abdul Rahman, Kampar, Malaysia
Pages 146-159 | Accepted 09 Jun 2011, Published online: 12 Nov 2013

REFERENCES

  • Conradie WJ, Wet TD, Jankowitz M. Exact and asymptotic distributions of LULU smoothers. J. Comput. Appl. Math., 2006, 186, 253–267.
  • Rohwer CH, Laurie DP. The discrete pulse transform. SIAM J. Math. Anal., 2007, 38, 1–28.
  • Jankowitz MD. ‘Some statistical aspects of LULU smoothers’, Master thesis, University of Stellenbosch, Stellenbosch, South Africa, 2007.
  • Anguelov R, Fabris-Rotelli I. Properties of the discrete pulse transform for multi-dimensional arrays. IEEE Trans. Image Process., 2010, 19, 3012–3023.
  • Heller PN, Wells RO. The Spectral Theory of Multiresolution Operators and Applications, 1994, pp. 13–31 (Academic Press, San Diego, CA).
  • Anguelov R, Fabris-Rotelli I. LULU operators and discrete pulse transform for multi-dimensional arrays. IEEE Trans. Image Process., 2010, 19, 1–13.
  • Du Toit JP. ‘The discrete pulse transform and applications’, University of Stellenbosch, Stellenbosch, South Africa, 2007.
  • Anguelov R, Fabris-Rotelli IN. Discrete pulse transform of images. Lect. Notes Comput. Sci., 2008, 5099/2008, 1–9.
  • Marogos P, Schafer RW. Morphological systems for multidimensional signal processing. Proc. IEEE, 1990, 78, 690–710.
  • Anguelov B. Discrete pulse transform of images: algorithm and applications, Proc. 19th Int. Conf. on Pattern recognition: ICPR 2008, Tampa, FL, USA, December 2008, IEEE, pp. 1–4.
  • Chambolle A, Lions P. Image recovery via total variation minimization and related problems. Numer. Math., 1997, 76, 167–188.
  • Leonid I, Osher S, Fatemi E. Nonlinear total variation based noise removal algorithms. Physica D, 1992, 60, 259–268.
  • Morales A, Acharya R, Ko S. Morphological pyramids with alternating sequential filters. IEEE Trans. Image Process., 1995, 4, 965–977.
  • Pei S, Lai C, Shih F. An efficient class of alternating sequential filters in morphology. Graph. Models Image Process., 1997, 59, 109–116.
  • Acton ST, Mukherjee DP. Scale space classification using area morphology. IEEE Trans. Image Process., 2000, 9, 623–635.
  • Fabris-Rotelli I, Walt SJ. The discrete pulse transform in two dimensions, Proc. 20th Annual Symp. of the Pattern Recognition Association of South Africa, Stellenbosch, South Africa, December 2009, Pattern Recognition Association of South Africa.
  • de Wet T, Conradie W. Smoothing sequences of data by extreme selectors, Proc. 7th Int. Conf. on Teaching statistics: ICOTS-7, Salvador, Bahia, Brazil, July 2006, IASE, pp. 1–5.
  • Serra J. In Mathematical Morphology and Its Applications to Image and Signal Processing, 1996, pp. 81–96 (Kluwer Academic Publishers, Boston, MA).
  • Serra J. A lattice approach to image segmentation. J. Math. Imag. Vision, 2006, 24, 83–130.
  • Anguelov R. In Constructive Theory of Functions, 2006, pp. 22–34 (Marin Drinov Academic Publishing House, Sofia).
  • Conradie WJ, de Wet T. ‘LULU smoothers and their statistical properties’, Technical report 03/01, University of Stellenbosch, Stellenbosch, South Africa, 2005, pp. 1–37.
  • Kao O. Modification of the LULU operators for preservation of critical image details, Proc. Int. Conf. on Imaging science, systems and technology: CISST 2001, Las Vegas, NV, USA, June 2001, CSREA Press.
  • Anguelov R, Plaskitt I. A class of LULU operators on multi-dimensional arrays’, Technical report UPWT2007/22, University of Pretoria, Pretoria, South Africa, 2008.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.