Optics communications, ISSN 0030-4018, 2015, Volume 343, pp. 10 - 21

Most of the existing image encryption techniques bear security risks for taking linear transform or suffer encryption data expansion for adopting nonlinear transformation directly...

Image encryption | Fractional Mellin transform | Compressive sensing | Logistic map | [formula omitted] algorithm | NSL | Fractional | Mellin transform | algorithm | GYRATOR TRANSFORM | ALGORITHM | QUANTITATIVE CRYPTANALYSIS | ONLY MULTIMEDIA CIPHERS | NSL0 algorithm | FOURIER-TRANSFORM | PLAINTEXT ATTACKS | CRYPTOSYSTEM | RESISTANCE | INTERFERENCE | OPTICS | DOMAINS | Data compression | Algorithms

Image encryption | Fractional Mellin transform | Compressive sensing | Logistic map | [formula omitted] algorithm | NSL | Fractional | Mellin transform | algorithm | GYRATOR TRANSFORM | ALGORITHM | QUANTITATIVE CRYPTANALYSIS | ONLY MULTIMEDIA CIPHERS | NSL0 algorithm | FOURIER-TRANSFORM | PLAINTEXT ATTACKS | CRYPTOSYSTEM | RESISTANCE | INTERFERENCE | OPTICS | DOMAINS | Data compression | Algorithms

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 5/2018, Volume 2018, Issue 5, pp. 1 - 29

... ABJM quantum spectral curve and Mellin transform R.N. Leea and A.I. Onishchenkob,c,d aBudker Institute of Nuclear Physics, Novosibirsk, Russia bBogoliubov...

Integrable Field Theories | Supersymmetric Gauge Theory | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Chern-Simons Theories | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | BFKL EQUATION | YANG-MILLS | N=4 | FIELD-THEORIES | CHERN-SIMONS | ADS/CFT INTEGRABILITY | GAUGE-THEORY | Y-SYSTEM | HARMONIC SUMS | ANOMALOUS DIMENSIONS | PHYSICS, PARTICLES & FIELDS | Analysis | Nuclear physics | Spectra | Quantum numbers | Mellin transforms | Mathematical analysis | Sums | High Energy Physics - Phenomenology | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory

Integrable Field Theories | Supersymmetric Gauge Theory | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Chern-Simons Theories | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | BFKL EQUATION | YANG-MILLS | N=4 | FIELD-THEORIES | CHERN-SIMONS | ADS/CFT INTEGRABILITY | GAUGE-THEORY | Y-SYSTEM | HARMONIC SUMS | ANOMALOUS DIMENSIONS | PHYSICS, PARTICLES & FIELDS | Analysis | Nuclear physics | Spectra | Quantum numbers | Mellin transforms | Mathematical analysis | Sums | High Energy Physics - Phenomenology | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory

Journal Article

Nonlinear dynamics, ISSN 1573-269X, 2015, Volume 84, Issue 1, pp. 189 - 202

.... We introduce analytical Fourier–Mellin transform (AFMT) and focus on its discretization...

Engineering | Vibration, Dynamical Systems, Control | Copy–move forgery | Discrete analytical Fourier–Mellin transform | Mechanics | Automotive Engineering | Mechanical Engineering | Post-processed forgery operations | Geometric distortions | A disk template | MECHANICS | Discrete analytical Fourier-Mellin transform | ENGINEERING, MECHANICAL | Copy-move forgery | Graphics software | Usage | Forgery | Image processing | Electric properties | Computer programs | Random noise | Hardware reviews | Coordinates | Distortion | Image detection | Digital imaging | Mellin transforms | Mathematical analysis | Polar coordinates | Image manipulation | Cartesian coordinates | Nonlinear dynamics | Discretization | Transforms | Images

Engineering | Vibration, Dynamical Systems, Control | Copy–move forgery | Discrete analytical Fourier–Mellin transform | Mechanics | Automotive Engineering | Mechanical Engineering | Post-processed forgery operations | Geometric distortions | A disk template | MECHANICS | Discrete analytical Fourier-Mellin transform | ENGINEERING, MECHANICAL | Copy-move forgery | Graphics software | Usage | Forgery | Image processing | Electric properties | Computer programs | Random noise | Hardware reviews | Coordinates | Distortion | Image detection | Digital imaging | Mellin transforms | Mathematical analysis | Polar coordinates | Image manipulation | Cartesian coordinates | Nonlinear dynamics | Discretization | Transforms | Images

Journal Article

2012, Annals of mathematics studies, ISBN 0691153310, Volume 180, vi, 203

Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin transforms--from a new, categorical point of view...

Sequences (Mathematics) | Convolutions (Mathematics) | Mellin transform | Mathematics | Statistics

Sequences (Mathematics) | Convolutions (Mathematics) | Mellin transform | Mathematics | Statistics

Book

Multimedia Tools and Applications, ISSN 1380-7501, 1/2017, Volume 76, Issue 2, pp. 2933 - 2953

A new multi-image encryption scheme with an optical implementation based on the nonlinear fractional Mellin transform is proposed, which could avoid the vulnerability of the linear encryption systems...

Data Structures, Cryptology and Information Theory | Special Purpose and Application-Based Systems | Computer Science | Fractional Mellin transform | Multimedia Information Systems | Computer Communication Networks | Multi-image encryption | Discrete cosine transform | DOMAIN | HOLOGRAPHY | ALGORITHM | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENCODING TECHNIQUE | ENGINEERING, ELECTRICAL & ELECTRONIC | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MULTIPLE-IMAGE ENCRYPTION | MAPS | FOURIER-TRANSFORM | OPERATION | COMPUTER SCIENCE, THEORY & METHODS | RANDOM-PHASE ENCRYPTION | Data encryption chips | Data encryption | Mellin transforms | Coding | Images | Encryption | Phase transitions | Multimedia | Nonlinearity | Encoding | Spectra

Data Structures, Cryptology and Information Theory | Special Purpose and Application-Based Systems | Computer Science | Fractional Mellin transform | Multimedia Information Systems | Computer Communication Networks | Multi-image encryption | Discrete cosine transform | DOMAIN | HOLOGRAPHY | ALGORITHM | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENCODING TECHNIQUE | ENGINEERING, ELECTRICAL & ELECTRONIC | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MULTIPLE-IMAGE ENCRYPTION | MAPS | FOURIER-TRANSFORM | OPERATION | COMPUTER SCIENCE, THEORY & METHODS | RANDOM-PHASE ENCRYPTION | Data encryption chips | Data encryption | Mellin transforms | Coding | Images | Encryption | Phase transitions | Multimedia | Nonlinearity | Encoding | Spectra

Journal Article

2002, 3rd ed., Texts in applied mathematics, ISBN 9780387953144, Volume 41, xvii, 367

Book

Applied mathematics and computation, ISSN 0096-3003, 2010, Volume 216, Issue 9, pp. 2740 - 2748

Convolution theorem for Poisson transform on compactly supported distributions is obtained...

Poisson transform | Boehmian | Mellin type convolution | DISTRIBUTIONS | MATHEMATICS, APPLIED | STIELTJES TRANSFORM | Theorems | Mathematical models | Convolution | Computation | Transforms

Poisson transform | Boehmian | Mellin type convolution | DISTRIBUTIONS | MATHEMATICS, APPLIED | STIELTJES TRANSFORM | Theorems | Mathematical models | Convolution | Computation | Transforms

Journal Article

Applied mathematics and computation, ISSN 0096-3003, 2015, Volume 257, pp. 566 - 580

We obtain the Mellin transforms of the generalized fractional integrals and derivatives that generalize the Riemann...

Stirling numbers of the 2nd kind | Riemann–Liouville derivative | Hadamard derivative | Generalized fractional derivative | Recurrence relations | Mellin transform | Riemann-Liouville derivative | Erdélyi-Kober operators | Hidden Pascal triangles | MATHEMATICS, APPLIED | INEQUALITIES | CALCULUS | Erdelyi-Kober operators | Operators | Mellin transforms | Computation | Integrals | Mathematical models | Polynomials | Derivatives | Combinatorial analysis

Stirling numbers of the 2nd kind | Riemann–Liouville derivative | Hadamard derivative | Generalized fractional derivative | Recurrence relations | Mellin transform | Riemann-Liouville derivative | Erdélyi-Kober operators | Hidden Pascal triangles | MATHEMATICS, APPLIED | INEQUALITIES | CALCULUS | Erdelyi-Kober operators | Operators | Mellin transforms | Computation | Integrals | Mathematical models | Polynomials | Derivatives | Combinatorial analysis

Journal Article

1992, Monographs and textbooks in pure and applied mathematics, ISBN 0824782526, Volume 162, xv, 825

Book

Optics and lasers in engineering, ISSN 0143-8166, 2017, Volume 89, pp. 72 - 79

An encryption algorithm is proposed by using the properties of deduced gyrator transform (GT...

Asymmetric color image encryption | Deduced Gyrator transform | Real-valued | OPTICAL ENCRYPTION | FRACTIONAL FOURIER-TRANSFORM | RETRIEVAL ALGORITHM | PLAINTEXT ATTACK | COSINE TRANSFORM | MELLIN TRANSFORM | FRESNEL DOMAIN | CRYPTOSYSTEM | CHAOS PERMUTATION | OPTICS | HARTLEY TRANSFORM | Analysis | Methods | Algorithms

Asymmetric color image encryption | Deduced Gyrator transform | Real-valued | OPTICAL ENCRYPTION | FRACTIONAL FOURIER-TRANSFORM | RETRIEVAL ALGORITHM | PLAINTEXT ATTACK | COSINE TRANSFORM | MELLIN TRANSFORM | FRESNEL DOMAIN | CRYPTOSYSTEM | CHAOS PERMUTATION | OPTICS | HARTLEY TRANSFORM | Analysis | Methods | Algorithms

Journal Article

Fractional Calculus and Applied Analysis, ISSN 1311-0454, 6/2013, Volume 16, Issue 2, pp. 405 - 430

In Fractional Calculus (FC), the Laplace and the Fourier integral transforms are traditionally employed for solving different problems...

fractional calculus | Primary 26A33 | completely monotone functions | Fourier transform | Mathematics | Secondary 44A20, 33C60, 33E3012, 44A10 | Wright function | Integral Transforms, Operational Calculus | Erdélyi-Kober derivatives and integrals | Abstract Harmonic Analysis | Functional Analysis | Analysis | Mittag-Leffler function | H -function | Post-Widder formula | Leibniz rules for FC operators | Laplace transform | Mellin transform | H-function | Erd́elyi-Kober derivatives and integrals | MATHEMATICS, APPLIED | MATHEMATICS | Erdelyi-Kober derivatives and integrals | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

fractional calculus | Primary 26A33 | completely monotone functions | Fourier transform | Mathematics | Secondary 44A20, 33C60, 33E3012, 44A10 | Wright function | Integral Transforms, Operational Calculus | Erdélyi-Kober derivatives and integrals | Abstract Harmonic Analysis | Functional Analysis | Analysis | Mittag-Leffler function | H -function | Post-Widder formula | Leibniz rules for FC operators | Laplace transform | Mellin transform | H-function | Erd́elyi-Kober derivatives and integrals | MATHEMATICS, APPLIED | MATHEMATICS | Erdelyi-Kober derivatives and integrals | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal Article

SeMA Journal, ISSN 2254-3902, 6/2019, Volume 76, Issue 2, pp. 203 - 215

.... In the present work, first some new theorems related to the Mellin transform and the conformable fractional operator are established, and then a few conformable fractional equations such as wave...

New theorems | Wave equation | Heat equation | 45A99 | 45D99 | Mathematics, general | 45P99 | Mathematics | Applications of Mathematics | Conformable fractional operator | Mellin transform

New theorems | Wave equation | Heat equation | 45A99 | 45D99 | Mathematics, general | 45P99 | Mathematics | Applications of Mathematics | Conformable fractional operator | Mellin transform

Journal Article

Physical chemistry chemical physics : PCCP, ISSN 1463-9076, 01/2017, Volume 19, Issue 48, pp. 32381 - 32388

.... The approach is based on analytical solutions of the Fredholm integral equations of the first kind using integral Mellin transforms to provide the distance distribution function directly...

Inverse problems | Transformations (mathematics) | Mellin transforms | Integral equations | Distribution functions

Inverse problems | Transformations (mathematics) | Mellin transforms | Integral equations | Distribution functions

Journal Article

Forensic science international, ISSN 0379-0738, 2017, Volume 275, pp. 102 - 109

Highlights • Query images vary in media, transfer mechanism, enhancement technique and substrate. • Automated retrieval methods were compared using CMC and ROC...

Pathology | RANSAC | Fourier–Mellin transform | SIFT | Phase only correlation | Footwear | ROTATION | AUTOMATIC CLASSIFICATION | SHOEPRINTS | RECOGNITION | MEDICINE, LEGAL | Fourier-Mellin transform | FORENSIC-SCIENCE | Humans | Shoes | Blood | Forensic Sciences - methods | Gentian Violet | Dust | Algorithms | Fourier Analysis | Image Processing, Computer-Assisted | Surface Properties | Pattern Recognition, Automated | Fluorescent Dyes | Databases, Factual | Criminal investigation | Usage | Research | Scaling laws (Statistical physics) | Methods | Soles (Footwear) | Fourier transforms | Transformation | Physical training | Image processing | Noise | Decomposition | Security | Data bases | Information dissemination | Matching | Literature reviews | Visual system | Robustness (mathematics) | Technology | Registration | Classification | International conferences | Computer vision | Forensic science | Image retrieval | Clothing | Radon | Media | Fourier analysis | Pattern recognition | Electrostatic properties | Substrates | Artifacts | Tiles | Corrosion | Vision | Crime | Computer applications | Information processing | Signal processing | Biometrics | Mean square values | Correlation | Conferences | Distortion | Mathematics | Accuracy | Databases | Evidence | Manufacturing | Multimedia | Automation | Euclidean geometry | Statistical analysis | Criminal investigations | Data processing | Ceramics | Imagery | Computer programs | Television | Neural networks

Pathology | RANSAC | Fourier–Mellin transform | SIFT | Phase only correlation | Footwear | ROTATION | AUTOMATIC CLASSIFICATION | SHOEPRINTS | RECOGNITION | MEDICINE, LEGAL | Fourier-Mellin transform | FORENSIC-SCIENCE | Humans | Shoes | Blood | Forensic Sciences - methods | Gentian Violet | Dust | Algorithms | Fourier Analysis | Image Processing, Computer-Assisted | Surface Properties | Pattern Recognition, Automated | Fluorescent Dyes | Databases, Factual | Criminal investigation | Usage | Research | Scaling laws (Statistical physics) | Methods | Soles (Footwear) | Fourier transforms | Transformation | Physical training | Image processing | Noise | Decomposition | Security | Data bases | Information dissemination | Matching | Literature reviews | Visual system | Robustness (mathematics) | Technology | Registration | Classification | International conferences | Computer vision | Forensic science | Image retrieval | Clothing | Radon | Media | Fourier analysis | Pattern recognition | Electrostatic properties | Substrates | Artifacts | Tiles | Corrosion | Vision | Crime | Computer applications | Information processing | Signal processing | Biometrics | Mean square values | Correlation | Conferences | Distortion | Mathematics | Accuracy | Databases | Evidence | Manufacturing | Multimedia | Automation | Euclidean geometry | Statistical analysis | Criminal investigations | Data processing | Ceramics | Imagery | Computer programs | Television | Neural networks

Journal Article

Multimedia tools and applications, ISSN 1573-7721, 2016, Volume 76, Issue 7, pp. 10097 - 10117

.... An image compression-encryption scheme with simple operation is presented based on 2D compressive sensing and discrete fractional random transform (DFrRT...

Image encryption | Data Structures, Cryptology and Information Theory | Compressive sensing | Logistic chaos map | Special Purpose and Application-Based Systems | Computer Science | Discrete fractional random transform | Multimedia Information Systems | NSL 0 algorithm | Computer Communication Networks | NSL | algorithm | DOMAIN | ALGORITHM | COMPUTER SCIENCE, INFORMATION SYSTEMS | PLAINTEXT ATTACK | ENGINEERING, ELECTRICAL & ELECTRONIC | COMPUTER SCIENCE, SOFTWARE ENGINEERING | CHAOS | NSL0 algorithm | MELLIN TRANSFORM | OPERATION | INTERFERENCE | COMPUTER SCIENCE, THEORY & METHODS | Data compression | Algorithms | Biomedical engineering | Studies | Cryptography | Analysis | Image processing systems | Matrices (mathematics) | Mathematical analysis | Transforms | Images | Encryption | Detection | Matrix methods

Image encryption | Data Structures, Cryptology and Information Theory | Compressive sensing | Logistic chaos map | Special Purpose and Application-Based Systems | Computer Science | Discrete fractional random transform | Multimedia Information Systems | NSL 0 algorithm | Computer Communication Networks | NSL | algorithm | DOMAIN | ALGORITHM | COMPUTER SCIENCE, INFORMATION SYSTEMS | PLAINTEXT ATTACK | ENGINEERING, ELECTRICAL & ELECTRONIC | COMPUTER SCIENCE, SOFTWARE ENGINEERING | CHAOS | NSL0 algorithm | MELLIN TRANSFORM | OPERATION | INTERFERENCE | COMPUTER SCIENCE, THEORY & METHODS | Data compression | Algorithms | Biomedical engineering | Studies | Cryptography | Analysis | Image processing systems | Matrices (mathematics) | Mathematical analysis | Transforms | Images | Encryption | Detection | Matrix methods

Journal Article

17.
Full Text
Goodness-of-Fit Tests for Multilook Polarimetric Radar Data Based on the Mellin Transform

IEEE Transactions on Geoscience and Remote Sensing, ISSN 0196-2892, 07/2011, Volume 49, Issue 7, pp. 2764 - 2781

.... These are derived from a novel characteristic function for positive definite Hermitian random matrices, defined in terms of a matrix-variate Mellin transform instead of the conventional...

matrix-variate statistics | Scattering | probability density functions (PDFs) | Radar polarimetry | Covariance matrix | Mellin transform (MT) | Goodness of fit | log statistics | synthetic aperture radar (SAR) | Radar imaging | parameter estimation | Data models | Synthetic aperture radar | radar polarimetry | LOCATION | CLASSIFICATION | IMAGING SCIENCE & PHOTOGRAPHIC TECHNOLOGY | MODEL | ENGINEERING, ELECTRICAL & ELECTRONIC | GEOCHEMISTRY & GEOPHYSICS | REMOTE SENSING | MINIMUM DISTANCE | Goodness-of-fit tests | Parameter estimation | Usage | Models | Methods | Polariscope

matrix-variate statistics | Scattering | probability density functions (PDFs) | Radar polarimetry | Covariance matrix | Mellin transform (MT) | Goodness of fit | log statistics | synthetic aperture radar (SAR) | Radar imaging | parameter estimation | Data models | Synthetic aperture radar | radar polarimetry | LOCATION | CLASSIFICATION | IMAGING SCIENCE & PHOTOGRAPHIC TECHNOLOGY | MODEL | ENGINEERING, ELECTRICAL & ELECTRONIC | GEOCHEMISTRY & GEOPHYSICS | REMOTE SENSING | MINIMUM DISTANCE | Goodness-of-fit tests | Parameter estimation | Usage | Models | Methods | Polariscope

Journal Article

SpringerPlus, ISSN 2193-1801, 12/2016, Volume 5, Issue 1, pp. 1 - 8

In this article, we define the fractional Mellin transform by using Riemann–Liouville fractional integral operator and Caputo fractional derivative of order
$$\alpha \ge 0$$
α...

Science | Riemann–Liouville fractional integral and derivative | Caputo fractional derivative | Fractional calculus | Science, general | Mellin transform | MULTIDISCIPLINARY SCIENCES | Riemann-Liouville fractional integral and derivative

Science | Riemann–Liouville fractional integral and derivative | Caputo fractional derivative | Fractional calculus | Science, general | Mellin transform | MULTIDISCIPLINARY SCIENCES | Riemann-Liouville fractional integral and derivative

Journal Article

Signal, Image and Video Processing, ISSN 1863-1703, 11/2018, Volume 12, Issue 8, pp. 1587 - 1594

.... The paper examines the core characteristics of the Fourier Mellin transform (FMT) when applied to this task in the automotive environment...

Frequency domain | Image registration | Spatial domain | Signal,Image and Speech Processing | Feature detection | Fourier Mellin transform | Computer Science | Image Processing and Computer Vision | Computer Imaging, Vision, Pattern Recognition and Graphics | Multimedia Information Systems | ROBUST | IMAGING SCIENCE & PHOTOGRAPHIC TECHNOLOGY | ENGINEERING, ELECTRICAL & ELECTRONIC

Frequency domain | Image registration | Spatial domain | Signal,Image and Speech Processing | Feature detection | Fourier Mellin transform | Computer Science | Image Processing and Computer Vision | Computer Imaging, Vision, Pattern Recognition and Graphics | Multimedia Information Systems | ROBUST | IMAGING SCIENCE & PHOTOGRAPHIC TECHNOLOGY | ENGINEERING, ELECTRICAL & ELECTRONIC

Journal Article