Journal ArticleDOI
Explicit Krawtchouk moment invariants for invariant image recognition
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TLDR
Experimental results show that the proposed direct method to derive RST invariants from Krawtchouk moment invariants can significantly improve the performance in terms of recognition accuracy and noise robustness.Abstract:
The existing Krawtchouk moment invariants are derived by a linear combination of geometric moment invariants. This indirect method cannot achieve perfect performance in rotation, scale, and translation (RST) invariant image recognition since the derivation of these invariants are not built on Krawtchouk polynomials. A direct method to derive RST invariants from Krawtchouk moments, named explicit Krawtchouk moment invariants, is proposed. The proposed method drives Krawtchouk moment invariants by algebraically eliminating the distorted (i.e., rotated, scaled, and translated) factor contained in the Krawtchouk moments of distorted image. Experimental results show that, compared with the indirect methods, the proposed approach can significantly improve the performance in terms of recognition accuracy and noise robustness.read more
Citations
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Journal ArticleDOI
Fractional discrete Tchebyshev moments and their applications in image encryption and watermarking
TL;DR: A novel framework for deriving fractional order DTMs (FrDTMs) by the eigen-decomposition of kernel matrices is proposed in this paper, and some properties of the proposed FrDTMs are analyzed.
Journal ArticleDOI
Fractional-order orthogonal Chebyshev Moments and Moment Invariants for image representation and pattern recognition
TL;DR: The theoretical framework is provided to construct the Fractional-order Chebyshev Moment Invariants (FCMI), which are invariants with respect to rotation, scaling and translation transforms and demonstrate the efficiency and the superiority of the proposed method.
Journal ArticleDOI
Tchebichef and Adaptive Steerable-Based Total Variation Model for Image Denoising
TL;DR: An adaptive steerable total variation regularizer (ASTV) based on geometric moments is introduced, which is a combination of the Tchebichef moment and ASTV-based regularizers and demonstrates the competitiveness of the proposed method compared with the existing ones in terms of both the objective and subjective image qualities.
Journal ArticleDOI
A New Hybrid form of Krawtchouk and Tchebichef Polynomials: Design and Application
Sadiq H. Abdulhussain,Sadiq H. Abdulhussain,Abd Rahman Ramli,Basheera M. Mahmmod,Basheera M. Mahmmod,M. Iqbal Saripan,Syed Abdul Rahman Al-Haddad,Wissam A. Jassim +7 more
TL;DR: A new hybrid set of orthogonal polynomials (OPs) is presented, termed as squared Krawtchouk–Tchebichef polynomial (SKTP), which is formed based on two existing hybrid OPs which are originated from K Rawtchouk and Tchebicf poynomials.
Journal ArticleDOI
Fast and accurate computation of Racah moment invariants for image classification
TL;DR: The presented theoretical and experimental results, clearly show that the proposed Racah Moment Invariants can be extremely useful in the fields of image classification.
References
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Journal ArticleDOI
Visual pattern recognition by moment invariants
TL;DR: It is shown that recognition of geometrical patterns and alphabetical characters independently of position, size and orientation can be accomplished and it is indicated that generalization is possible to include invariance with parallel projection.
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Image analysis by Tchebichef moments
TL;DR: A new set of orthogonal moment functions based on the discrete Tchebichef polynomials is introduced, superior to the conventional Orthogonal moments such as Legendre moments and Zernike moments, in terms of preserving the analytical properties needed to ensure information redundancy in a moment set.
Book
Special Functions : An Introduction to the Classical Functions of Mathematical Physics
TL;DR: In this paper, Bernoulli, Euler, Stirling and Stirling Numbers, the Gamma Function, the Bessel Function, and the Legendre Function are discussed. But they do not discuss the relation between these functions.
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Image analysis by Krawtchouk moments
TL;DR: It is shown that the Krawtchouk moments can be employed to extract local features of an image, unlike other orthogonal moments, which generally capture the global features.
Journal ArticleDOI
Two-Dimensional Polar Harmonic Transforms for Invariant Image Representation
TL;DR: A set of 2D transforms, based on a set of orthogonal projection bases, to generate aSet of features which are invariant to rotation, called Polar Harmonic Transforms (PHTs), which encompass the orthogonality and invariance advantages of Zernike and pseudo-Zernike moments, but are free from their inherent limitations.