On optimal infinite impulse response edge detection filters
Sarkar, S.
Boyer, K.L.
Dept. of Electr. Eng., Ohio State Univ., Columbus, OH;
This paper appears in: Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publication Date: Nov 1991
Volume: 13,
Issue: 11
On page(s): 1154-1171
ISSN: 0162-8828
References Cited: 41
CODEN: ITPIDJ
INSPEC Accession Number: 4093256
Digital Object Identifier: 10.1109/34.103275
Current Version Published: 2002-08-06
Abstract
The authors outline the design of an optimal, computationally
efficient, infinite impulse response edge detection filter. The optimal
filter is computed based on Canny's high signal to noise ratio, good
localization criteria, and a criterion on the spurious response of the
filter to noise. An expression for the width of the filter, which is
appropriate for infinite-length filters, is incorporated directly in the
expression for spurious responses. The three criteria are maximized
using the variational method and nonlinear constrained optimization. The
optimal filter parameters are tabulated for various values of the filter
performance criteria. A complete methodology for implementing the
optimal filter using approximating recursive digital filtering is
presented. The approximating recursive digital filter is separable into
two linear filters, operating in two orthogonal directions. The
implementation is very simple and computationally efficient. has a
constant time of execution for different sizes of the operator, and is
readily amenable to real-time hardware implementation
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