A Systematic Design Procedure for Scalable Near-Circular Laplacian of Gaussian Operators

Research output: Chapter in Book/Report/Conference proceedingConference contribution

12 Citations (Scopus)

Abstract

In low-level image processing tasks, the circularity of an operator has been shown to be an important factor affecting its accuracy as circular differential edge operators are effective in minimising the angular error in the estimation of image gradient direction. We present a general approach to the computation of scalable near-circular low-level Laplacian image processing operators that is based on the finite element method. We use Gaussian basis functions, together with a virtual finite element mesh, to illustrate the design of operators that are scalable to near-circular neighbourhoods through the use of an explicit scale parameter. The general design technique may be applied to a range of operators. Here, we illustrate the approach by discussing the implementation of a Laplacian operator, and we evaluate our approach by presenting comparative results with the Laplacian of Gaussian operators.
LanguageEnglish
Title of host publicationUnknown Host Publication
Pages700-703
Number of pages4
Volume1
DOIs
Publication statusPublished - Aug 2004
Event17th IEEE International Conference on Pattern Recognition (ICPR 2004) - Cambridge
Duration: 1 Aug 2004 → …

Conference

Conference17th IEEE International Conference on Pattern Recognition (ICPR 2004)
Period1/08/04 → …

Fingerprint

Image processing
Mathematical operators
Finite element method

Keywords

  • feature extraction
  • Laplacian of Gaussian
  • near-circular operators
  • scalable operators

Cite this

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abstract = "In low-level image processing tasks, the circularity of an operator has been shown to be an important factor affecting its accuracy as circular differential edge operators are effective in minimising the angular error in the estimation of image gradient direction. We present a general approach to the computation of scalable near-circular low-level Laplacian image processing operators that is based on the finite element method. We use Gaussian basis functions, together with a virtual finite element mesh, to illustrate the design of operators that are scalable to near-circular neighbourhoods through the use of an explicit scale parameter. The general design technique may be applied to a range of operators. Here, we illustrate the approach by discussing the implementation of a Laplacian operator, and we evaluate our approach by presenting comparative results with the Laplacian of Gaussian operators.",
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Coleman, SA, Scotney, BW & Herron, MG 2004, A Systematic Design Procedure for Scalable Near-Circular Laplacian of Gaussian Operators. in Unknown Host Publication. vol. 1, pp. 700-703, 17th IEEE International Conference on Pattern Recognition (ICPR 2004), 1/08/04. https://doi.org/10.1109/ICPR.2004.1334275

A Systematic Design Procedure for Scalable Near-Circular Laplacian of Gaussian Operators. / Coleman, SA; Scotney, BW; Herron, MG.

Unknown Host Publication. Vol. 1 2004. p. 700-703.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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