A novel blurring and sharpening techniques using different images based on heat equations

Abstract EN

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.