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Infinite families of minimal binary codes via Krawtchouk polynomials
Linear codes play a crucial role in various fields of engineering and mathematics, including data storage, communication, cryptography, and...
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Accurate image reconstruction by separable krawtchouk-charlier moments with automatic parameter selection using artificial bee colony optimization
The feature extraction process involves identifying and extracting relevant features from specific data. However, in most cases, this data can be a...
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New color image encryption using hybrid optimization algorithm and Krawtchouk fractional transformations
This paper proposes a new method for encryption of RGB color images by combining two encryption approaches: the spatial approach and the...
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Real-time Computation of Krawtchouk Moments on Gray Images Using Block Representation
In the field of image analysis, the discrete orthogonal moments have better image representation capability than the continuous orthogonal moments...
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Color image analysis of quaternion discrete radial Krawtchouk moments
In this work, we suggest a new set of quaternion discrete radial Krawtchouk moments (QDRKMs) for color image reconstruction and classification. These...
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Fast chaotic encryption scheme based on separable moments and parallel computing
In this paper, we propose three novel image encryption algorithms. Separable moments and parallel computing are combined in order to enhance the...
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New algorithm for control optimal filter design of 3D systems described by the Fornasini-Marchesini Second Model and hybrid descriptor
The issue of noise filtering for 3D systems is extremely important in voluminous data transmission. The challenge of this method is to regenerate...
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Unique optima of the Delsarte linear program
The Delsarte linear program is used to bound the size of codes given their block length n and minimal distance d by taking a linear relaxation from...
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Fast and stable computation of higher-order Hahn polynomials and Hahn moment invariants for signal and image analysis
This article presents, on the one hand, new algorithms for the fast and stable computation of discrete orthogonal Hahn polynomials of high order...
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Fast and efficient recursive algorithm of Meixner polynomials
Meixner polynomials (MNPs) and their moments are considered significant feature extraction tools because of their salient representation in signal...
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Moment Transform-Based Compressive Sensing in Image Processing
Over the last decades, images have become an important source of information in many domains, thus their high quality has become necessary to acquire...
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Sum-of-Squares Hierarchies for Binary Polynomial Optimization
We consider the sum-of-squares hierarchy of approximations for the problem of minimizing a polynomial f over the boolean hypercube...
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A New Hybrid form of Krawtchouk and Tchebichef Polynomials: Design and Application
In the past decades, orthogonal moments (OMs) have received a significant attention and have widely been applied in various applications. OMs are...
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Application of Orthogonal Polynomials and Special Matrices to Orthogonal Arrays
Special matrices are explored in many areas of science and technology. Krawtchouk matrix is such a matrix that plays important role in coding theory...
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Optimal reconstruction and compression of signals and images by Hahn moments and artificial bee Colony (ABC) algorithm
In this paper, we present an efficient and optimal method for optimization of Hahn parameters a and b using the Artificial Bee Colony algorithm (ABC)...
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Image recognition using new set of separable three-dimensional discrete orthogonal moment invariants
In this paper, we propose new sets of 3D separable discrete orthogonal moment invariants, named Racah-Tchebichef-Krawtchouk Moment Invariants...
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Medical Image Watermarking with Separable Moments
In order to contribute to medical image watermarking methods, we evaluate the performance of several moment families and separable moments. We have...
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Fingerprint and Iris liveness detection using invariant feature-set
Presentation attacks that make the biometric systems vulnerable has become a growing concern in recent years kee** in view its widespread...
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Weightwise Perfectly Balanced Functions and Nonlinearity
In this article we realize a general study on the nonlinearity of weightwise perfectly balanced (WPB) functions. First, we derive upper and lower...
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