A systematic design procedure for scalable near-circular Gaussianoperators
Scotney, B.W.
Coleman, S.A.
Herron, M.G.
Ulster Univ., Coleraine;
This paper appears in: Image Processing, 2001. Proceedings. 2001 International Conference on
Publication Date: 2001
Volume: 3,
On page(s): 844-847 vol.3
Meeting Date: 10/07/2001 - 10/10/2001
Location: Thessaloniki, Greece
ISBN: 0-7803-6725-1
References Cited: 12
INSPEC Accession Number: 7230939
Digital Object Identifier: 10.1109/ICIP.2001.958252
Current Version Published: 2002-08-07
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
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