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Image Splicing Detection Using Generalized whittaker function Descriptor

Computers, Materials & Continua 2023年第5期75卷 3465-3477页

作者： Dumitru Baleanu Ahmad Sami Al-Shamayleh Rabha W.Ibrahim Department of Mathematics Cankaya UniversityAnkara06530Turkey Institute of Space Sciences Magurele-BucharestR76900Romania Department of Medical Research China Medical University40402Taiwan Department of Networks&Cybersecurity Faculty of Information TechnologyAl-Ahliyya Amman UniversityAl-SaltAmman19328Jordan Near East University Mathematics Research CenterDepartment of MathematicsNear East BoulevardPC:99138Nicosia/Mersin 10–Turkey

Image forgery is a crucial part of the transmission of misinformation,which may be illegal in some *** powerful image editing software has made it nearly impossible to detect altered images with the naked *** must be protected against attempts to manipulate *** authentication methods have gained popularity because of their use in multimedia and multimedia networking *** were made to address the consequences of image forgeries by creating algorithms for identifying altered *** image tampering detection targets processing techniques such as object removal or addition,identifying altered images remains a major challenge in *** this study,a novel image texture feature extraction model based on the generalized k-symbolwhittaker function(GKSWF)is proposed for better image forgery *** proposed method is divided into two *** first stage involves feature extraction using the proposed GKSWF model,followed by classification using the“support vector machine”(SVM)to distinguish between authentic and manipulated *** extracted feature from an input image is saved in the features database for use in image splicing *** proposed GKSWF as a feature extraction model is intended to extract clues of tampering texture details based on the probability of image *** tested on publicly available image dataset“CASIA”v2.0(ChineseAcademy of Sciences,Institute of Automation),the proposed model had a 98.60%accuracy rate on the YCbCr(luminance(Y),chroma blue(Cb)and chroma red(Cr))color spaces in image block size of 8×8 *** proposed image authentication model shows great accuracy with a relatively modest dimension feature size,supporting the benefit of utilizing the k-symbol whittaker function in image authentication algorithms.

关键词： Image forgery image authentication fractional calculus k-symbol whittaker function texture features SVM

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Some Transformation of a Multiple Hypergeometric Series of Lauricella function of n Variables

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Journal of Physical Science and Application 2015年第1期5卷 82-86页

作者： Nabiullah Khan T. Kashmin Department of Applied Mathematics Faculty of Engineering and Technology Aligarh Muslim University Aligarh 202002 India

This paper deals with an integral transformation involving whittaker function Mk,m（X） into a multiple hypergeometric series of Lauricella function FA（n） of n variables. A number of known and new transformation and reduction formulae for a hypergeometric function 2F1, Appell function F2, Lauricella function FA（3） and a hypergeometric function of four variables Fp（4） are derived as special cases.

关键词： whittaker function Lauricella function Laplace transform.

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