Consistent gradient operators

We propose optimal gradient operators based on a newly derived consistency criterion. This criterion is based on an orthogonal decomposition of the difference between a continuous gradient and discrete gradients into the intrinsic smoothing effect and the self-inconsistency involved in the operator....

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Vydáno v:IEEE transactions on pattern analysis and machine intelligence Ročník 22; číslo 3; s. 252 - 265
Hlavní autor: Ando, S.
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York IEEE 01.03.2000
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:
Algorithm design and analysis
Bandwidth
Consistency
Criteria
Detectors
Image analysis
Image edge detection
Image sensors
Information analysis
Intelligence
Isotropy
Iterative algorithms
Operators
Optimization
Sensor systems
Smoothing methods
ISSN:0162-8828, 1939-3539
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Shrnutí:We propose optimal gradient operators based on a newly derived consistency criterion. This criterion is based on an orthogonal decomposition of the difference between a continuous gradient and discrete gradients into the intrinsic smoothing effect and the self-inconsistency involved in the operator. We show that consistency assures the exactness of gradient direction of a locally 1D pattern in spite of its orientation, spectral composition, and sub-pixel translation. Stressing that inconsistency reduction is of primary importance, we derive an iterative algorithm which leads to accurate gradient operators of arbitrary size. We compute the optimum 3/spl times/3, 4/spl times/4, and 5/spl times/5 operators, compare them with conventional operators and examine the performance for one synthetic and several real images. The results indicate that the proposed operators are superior with respect to accuracy, bandwidth and isotropy.
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ISSN:0162-8828
1939-3539
DOI:10.1109/34.841757