A Systematic Design Procedure for Scalable Near-Circular Gaussian Operators

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

6 Citations (Scopus)

Abstract

In image filtering, the 'circularity' of an operator is an important factor affecting its accuracy. For example, 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 circular low-level image processing operators that is based on the finite element method. We show that the use of Gaussian basis functions within the finite element method provides a framework for a systematic and efficient design procedure for 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 evaluate the approach for the design of an image gradient operator, and we present comparative results with other gradient approximation methods.
LanguageEnglish
Title of host publicationUnknown Host Publication
Pages844-847
Number of pages4
Volume3
DOIs
Publication statusPublished - Oct 2001
EventIEEE International Conference on Image Processing (ICIP 2001) - Thessaloniki, Greece
Duration: 1 Oct 2001 → …

Conference

ConferenceIEEE International Conference on Image Processing (ICIP 2001)
Period1/10/01 → …

Fingerprint

Finite element method
Mathematical operators
Image processing

Keywords

  • Image derivative operators
  • circularity
  • angular error
  • near-circular operators
  • low-level feature extraction

Cite this

Scotney, BW ; Coleman, SA ; Herron, MG. / A Systematic Design Procedure for Scalable Near-Circular Gaussian Operators. Unknown Host Publication. Vol. 3 2001. pp. 844-847
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Scotney, BW, Coleman, SA & Herron, MG 2001, A Systematic Design Procedure for Scalable Near-Circular Gaussian Operators. in Unknown Host Publication. vol. 3, pp. 844-847, IEEE International Conference on Image Processing (ICIP 2001), 1/10/01. https://doi.org/10.1109/ICIP.2001.958252

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

Unknown Host Publication. Vol. 3 2001. p. 844-847.

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

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N2 - In image filtering, the 'circularity' of an operator is an important factor affecting its accuracy. For example, 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 circular low-level image processing operators that is based on the finite element method. We show that the use of Gaussian basis functions within the finite element method provides a framework for a systematic and efficient design procedure for 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 evaluate the approach for the design of an image gradient operator, and we present comparative results with other gradient approximation methods.

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