Proceedings of International Conference on Image Processing
DOI: 10.1109/icip.1997.638783
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Moment matrices for recognition of spatial pattern in noisy images

Abstract: We present a method for detection and classification of a spatial pattern in noise contaminated binary images which is based on performing subspace decomposition on a nonnegative definite matrix of higher order moments of the image. We introduce a method which uses normalized power moments or ascending factorial moments as descriptors. While the set of p t h order factorial moments are in one-to-one correspondence with the set of p t h order power moments, the computation of factorial moments is much more nume… Show more

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Cited by 7 publications
(9 citation statements)
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“…Hu"s seven moment invariants have been widely used in pattern recognition, and their performance has been evaluated under various deformation situation including blurring [10], spatial degradations [3], random noise [1], skew and perspective transformations [7]. As Hu"s seven moment invariants take every image pixel into account the computation cost will be much higher than boundary-based invariants.…”
Section: Related Development In This Areamentioning
confidence: 99%
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“…Hu"s seven moment invariants have been widely used in pattern recognition, and their performance has been evaluated under various deformation situation including blurring [10], spatial degradations [3], random noise [1], skew and perspective transformations [7]. As Hu"s seven moment invariants take every image pixel into account the computation cost will be much higher than boundary-based invariants.…”
Section: Related Development In This Areamentioning
confidence: 99%
“…Original Image Unit circle with fixed Computational range radius of 32 pixels (3) Fruits Zernike(1934) introduced a set of complex polynomials {Vnm( x, y )} which form a complete orthogonal set over the unit disk of x2+y2≤1 in polar coordinates [1]. The form of the polynomials is:…”
Section: Zernike Momentsmentioning
confidence: 99%
“…the citations in [4]. Recognition should rely on a method which is able to capture the essential features of a word while being invariant to deformations such as font, position and scale.…”
Section: Introductionmentioning
confidence: 99%
“…When word scale and position are known noise subspace processing of the matrix of spatial moments is a very effective way to obtain more reliable moment descriptions [4] which are robust to noise degradation. This is because the effect of binary bit-flip noise is approximately additive in the moment domain.…”
Section: Introductionmentioning
confidence: 99%
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