Some new edge detecting techniques based on fractional derivatives with non-local and non-singular kernels
B Ghanbari, A Atangana - Advances in Difference Equations, 2020 - Springer
Computers and electronics play an enormous role in today's society, impacting everything
from communication and medicine to science. The development of computer-related …
from communication and medicine to science. The development of computer-related …
Fractional Fourier Transform based Riesz fractional derivative approach for edge detection and its application in image enhancement
Edge detection plays a key role in detecting the boundaries of an object in the image to
improve the quality of image edges. The edge detection techniques based on integer order …
improve the quality of image edges. The edge detection techniques based on integer order …
QRFODD: Quaternion Riesz fractional order directional derivative for color image edge detection
Edge detection is the prominent method to determine the discontinuities present in an
image. There exists an issue of loss of information and correlation during the extraction of …
image. There exists an issue of loss of information and correlation during the extraction of …
A new fractional-order mask for image edge detection based on Caputo–Fabrizio fractional-order derivative without singular kernel
JE Lavín-Delgado, JE Solís-Pérez… - Circuits, Systems, and …, 2020 - Springer
In this work, we consider the Caputo–Fabrizio fractional-order derivative to generalize the
first-order Sobel operator. The resulting fractional mask is used to carry out edge analysis of …
first-order Sobel operator. The resulting fractional mask is used to carry out edge analysis of …
Generalized framework for the design of adaptive fractional-order masks for image denoising
This paper proposes a generalized fractional differential (GFD) mask which incorporates
various fractional-order kernels such as power-law kernel, exponentional kernel, and Mittag …
various fractional-order kernels such as power-law kernel, exponentional kernel, and Mittag …
[PDF][PDF] About Edge Detection in Digital Images.
M Hagara, P Kubinec - Radioengineering, 2018 - radioeng.cz
Edge detection is one of the most commonly used procedures in digital image processing. In
the last 30–40 years, many methods and algorithms for edge detection have been proposed …
the last 30–40 years, many methods and algorithms for edge detection have been proposed …
An improved method for image denoising based on fractional-order integration
L Xu, G Huang, Q Chen, H Qin, T Men, Y Pu - Frontiers of Information …, 2020 - Springer
Given that the existing image denoising methods damage the texture details of an image, a
new method based on fractional integration is proposed. First, the fractional-order integral …
new method based on fractional integration is proposed. First, the fractional-order integral …
Computational fractional-order calculus and classical calculus AI for comparative differentiability prediction analyses of complex-systems-grounded paradigm
Modern science having embarked on the thorough and accurate interpretation of natural
and physical phenomena has proven to provide successful models for the analysis of …
and physical phenomena has proven to provide successful models for the analysis of …
Discrete Laplacian operator and its applications in signal processing
Fractional calculus has increased in popularity in recent years, as the number of its
applications in different fields has increased. Compared to the traditional operations in …
applications in different fields has increased. Compared to the traditional operations in …
Fractional derivatives for edge detection: application to road obstacles
R Abi Zeid Daou, F El Samarani, C Yaacoub… - … , cognition, & security, 2020 - Springer
Detecting road obstacles is a major challenge in autonomous vehicles for smart
transportation and safe cities. They have always been a major problem, as they increase car …
transportation and safe cities. They have always been a major problem, as they increase car …