A new construction of an image edge detection mask based on Caputo–Fabrizio fractional derivative

2020 ◽  
Author(s):  
N. Aboutabit
Keyword(s):  
Edge Detection ◽  
Fractional Derivative ◽  
Image Edge Detection ◽  
New Construction ◽  
Image Edge

A Fractional-Order Laplacian Operator for Image Edge Detection

2014 ◽  
Vol 536-537 ◽  
pp. 55-58 ◽  
Author(s):  
Dan Tian ◽  
Jing Fei Wu ◽  
Ya Jie Yang
Keyword(s):  
Edge Detection ◽  
Fractional Derivative ◽  
Fractional Order ◽  
Second Order ◽  
Laplacian Operator ◽  
Order Operator ◽  
Visual Effects ◽  
Image Edge Detection ◽  
Edge Points ◽  
Image Edge

This paper proposes a novel fractional-order Laplacian operator for image edge detection. The proposed operator can be seen as generalization of the second-order Laplacian operator. The goal is to utilize the global characteristic of the fractional derivative for extracting more edge details. A thresholding is set based on the average fractional-order gradient for marking the edge points, and then the image edge can be extracted. Experiments show that the proposed fractional-order operator yields good visual effects.

scholarly journals Enhancing Ant-Based Algorithms for Medical Image Edge Detection by Admissible Perturbations of Demicontractive Mappings

Symmetry ◽  
2021 ◽  
Vol 13 (5) ◽  
pp. 885
Author(s):  
Vasile Berinde ◽  
Cristina Ţicală
Keyword(s):  
Edge Detection ◽  
Medical Image ◽  
Test Functions ◽  
Head Ct ◽  
X Ray ◽  
Numerical Tests ◽  
Image Edge Detection ◽  
Evaluation Of Parameters ◽  
Image Edge ◽  
Demicontractive Mappings

The aim of this paper is to show analytically and empirically how ant-based algorithms for medical image edge detection can be enhanced by using an admissible perturbation of demicontractive operators. We thus complement the results reported in a recent paper by the second author and her collaborators, where they used admissible perturbations of demicontractive mappings as test functions. To illustrate this fact, we first consider some typical properties of demicontractive mappings and of their admissible perturbations and then present some appropriate numerical tests to illustrate the improvement brought by the admissible perturbations of demicontractive mappings when they are taken as test functions in ant-based algorithms for medical image edge detection. The edge detection process reported in our study considers both symmetric (Head CT and Brain CT) and asymmetric (Hand X-ray) medical images. The performance of the algorithm was tested visually with various images and empirically with evaluation of parameters.

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