Fractional Fourier Transform and Fractional-Order Calculus-Based Image Edge Detection

Kumar, Sanjay; Saxena, Rajiv; Singh, Kulbir

doi:10.1007/s00034-016-0364-x

Cited by 53 publications

(19 citation statements)

References 41 publications

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“…the MSE defined as follows in Eq. (17) [19,20] [ [24][25][26][27][28][29][30]:: (17) to evaluate an encryption scheme and encryption quality Peak signal-to noise ratio (PSNR) can be used. PSNR is usually expressed in decibels.…”

Section: Histograms Analysis: One Of the Important Features In Data Smentioning

confidence: 99%

“…Mathematically, PSNR can be described in Eq. (18) [20] [24][25][26][27][28][29][30]:: (18) The experimental results that show the MSE and PSNR for an Image are shown in Table 4, and Table 5. The experimental results that show the MSE and PSNR for an Audio are shown in Table 6, and Table 7.…”

Section: Histograms Analysis: One Of the Important Features In Data Smentioning

confidence: 99%

“…D (i, j) is defined as in Eq. (20) [21] [24][25][26][27][28][29][30]:: (20) UACI Mathematically can define in Eq. (21) [21]: (21)…”

Section: Differential Analysismentioning

confidence: 99%

“…Mathematically correlation coefficient can be shown as in Eq. (22) [19,20] [ [24][25][26][27][28][29][30]:…”

Section: Correlation Coefficient Analysismentioning

confidence: 99%

See 3 more Smart Citations

Comparitive Study Bteween Des Algorithm, and FRFT for Data Encryption Using Fpga

Rabie¹,

Rashed²,

Shafie³

et al. 2019

Journal of Al-Azhar University Engineering Sector

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Cryptography techniques need some algorithms for encryption of data. Many of available encryption techniques are used for textual data, a few of encryption methods are used for multimedia data; however, this algorithms that are used for textual data may be inefficient for multimedia. The most popular symmetric key algorithms are Data Encryption Standard (DES). However, DES may not be suitable for multimedia because it consumes times. Encryption and decryption of these data require different methods. This paper proposes an encryption and decryption of data by using the nature of Fractional Fourier Transform (FrFT) in signals analysis, based on multi-order FrFT. A different indicators to evaluate the security of an encryption technique have been discussed. These indicators are: sensitivity proposed techniques for the key, the complexity of the processes, and statistical analysis. The key is formed by combination of order of FrFT. The encrypted data is obtained by the summation of different orders. Numerical simulation results are given to demonstrate this proposed method.

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Section: Histograms Analysis: One Of the Important Features In Data Smentioning

confidence: 99%

Section: Histograms Analysis: One Of the Important Features In Data Smentioning

confidence: 99%

See 2 more Smart Citations

Comparitive Study Bteween Des Algorithm, and FRFT for Data Encryption Using Fpga

Rabie¹,

Rashed²,

Shafie³

et al. 2019

Journal of Al-Azhar University Engineering Sector

View full text Add to dashboard Cite

show abstract

“…In the last decades, it has been frequently researched by many scientists to model real world problems. Therefore, it offered a decent way of implementation for plenty of models in miscellaneous areas of engineering and physics such as, electrical networks [9], fluid flow [11], image and signal processing [17], mathematical physics [30], viscoelasticity [25], biology [20], control [5] and see references therein [31][32][33][34][35][36][37][38][39][40][41][42][43][44].…”

Section: Introductionmentioning

confidence: 99%

Two Reliable Methods for The Solution of Fractional Coupled Burgers’ Equation Arising as a Model of Polydispersive Sedimentation

Kurt

Şenol

Taşbozan

et al. 2019

Applied Mathematics and Nonlinear Sciences

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In this article, we attain new analytical solution sets for nonlinear time-fractional coupled Burgers’ equations which arise in polydispersive sedimentation in shallow water waves using exp-function method. Then we apply a semi-analytical method namely perturbation-iteration algorithm (PIA) to obtain some approximate solutions. These results are compared with obtained exact solutions by tables and surface plots. The fractional derivatives are evaluated in the conformable sense. The findings reveal that both methods are very effective and dependable for solving partial fractional differential equations.

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Supervised CNN Strategies for Optical Image Segmentation and Classification in Interventional Medicine

Moccia

Romeo

Migliorelli

et al. 2020

Intelligent Systems Reference Library

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The analysis of interventional images is a topic of high interest for the medical-image analysis community. Such an analysis may provide interventionalmedicine professionals with both decision support and context awareness, with the final goal of improving patient safety. The aim of this chapter is to give an overview of some of the most recent approaches (up to 2018) in the field, with a focus on Convolutional Neural Networks (CNNs) for both segmentation and classification tasks. For each approach, summary tables are presented reporting the used dataset, involved anatomical region and achieved performance. Benefits and disadvantages of each approach are highlighted and discussed. Available datasets for algorithm training and testing and commonly used performance metrics are summarized to offer a source of information for researchers that are approaching the field of interventionalimage analysis. The advancements in deep learning for medical-image analysis are involving more and more the interventional-medicine field. However, these advancements are undeniably slower than in other fields (e.g. preoperative-image analysis) and considerable work still needs to be done in order to provide clinicians with all possible support during interventional-medicine procedures.

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Fractional Fourier Transform and Fractional-Order Calculus-Based Image Edge Detection

Cited by 53 publications

References 41 publications

Comparitive Study Bteween Des Algorithm, and FRFT for Data Encryption Using Fpga

Comparitive Study Bteween Des Algorithm, and FRFT for Data Encryption Using Fpga

Two Reliable Methods for The Solution of Fractional Coupled Burgers’ Equation Arising as a Model of Polydispersive Sedimentation

Supervised CNN Strategies for Optical Image Segmentation and Classification in Interventional Medicine

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