Litcius/Paper detail

A Novel Blurring and Sharpening Techniques Using Different Images Based on Heat Equations

Ali Hasan Ali, Mohammed Rasheed, Suha SHIHAB, Taha Rashid, Saad Hussein Abed Hamed

2021Journal of Al-Qadisiyah for Computer Science and Mathematics34 citationsDOIOpen Access PDF

Abstract

This paper is dedicated to show the practical part of the heat equation and its influence on images from real-life. Examples of one dimension and two dimensions are given in this paper to show how applying the forward and backward time steps on an image that is inserted as a pixel matrix in the well-known heat equation with certain parameters can make the blurring, noising, and sharpening effects. In addition, we are going to make a model for a heat diffusion in two directions x and y and assemble letters from components in matrices to apply our experiment on some medical and colorful images. Finally, we conclude that undesired details in an image can be removed by using the proposed equation.

Topics & Concepts

SharpeningHeat equationDimension (graph theory)Image (mathematics)Matrix (chemical analysis)Diffusion equationComputer sciencePixelArtificial intelligenceComputer visionMathematicsMathematical analysisEngineeringMaterials sciencePure mathematicsMetric (unit)Composite materialOperations managementAdvanced Image Fusion TechniquesImage and Signal Denoising MethodsAdvanced Image Processing Techniques