2021
DOI: 10.1088/1742-6596/1999/1/012080
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The Effectiveness of the Finite Differences Method on Physical and Medical Images Based on a Heat Diffusion Equation

Abstract: In this paper, we study the influence of applying the well-known finite differences method on medical and physical images. These images will be used as coefficients in the steps of the solution after the images being imported and converted to arrays. The aim of the study is to show and analyze the changes that could happen to images for the sake of an enhancement. Experiments of one dimension and two dimensions will be illustrated by applying the explicit and the implicit methods using MATLAB to explain the wa… Show more

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Cited by 28 publications
(13 citation statements)
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“…The HED algorithm-based image processing captures all the four parameters accurately namely, the area of rupture sites, centroid of rupture sites, the spatial movement of rupture sites, and the percentage overlap between successive rupture areas. The projected-area diameter is determined using an in-house developed deep learning-based holistically nested edge detection (HED) algorithm, as reported previously [ 33 , 34 , 35 , 36 ]. HED enables automated learning of multiscale and multilevel features in a droplet image and reconstructs a continuous droplet.…”
Section: Methodsmentioning
confidence: 99%
“…The HED algorithm-based image processing captures all the four parameters accurately namely, the area of rupture sites, centroid of rupture sites, the spatial movement of rupture sites, and the percentage overlap between successive rupture areas. The projected-area diameter is determined using an in-house developed deep learning-based holistically nested edge detection (HED) algorithm, as reported previously [ 33 , 34 , 35 , 36 ]. HED enables automated learning of multiscale and multilevel features in a droplet image and reconstructs a continuous droplet.…”
Section: Methodsmentioning
confidence: 99%
“…Karras et al [19] describe an unique training strategy which can generate images from low resolution to high resolution gradually. Image generation can be used in image processing [20,21], and also can be used for data augmentation in computer vision tasks.…”
Section: Image Generationmentioning
confidence: 99%
“…Within a not so long time, many research activities have emerged which are concerned with studying the oscillatory and asymptotic properties of third-order neutral differential equations, where some results can be followed up on in [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]. For the equations on time scales, see [30][31][32] and the references therein.…”
Section: Introductionmentioning
confidence: 99%