Decomposição em valores singulares aplicado a reconstrução e compressão de imagens

Abstract

At first glance decomposing a matrix does not seem to be so interesting but deepening the studies we observe how much it is present in our daily tasks, mainly of those who deal with the computational tools. Seeing an image or a drawing on a computer or cell phone, we do not even realize how much mathematics there is behind these exhibits. We will show that an image can be stored in a smaller amount of space without losing the characteristic of the original image, for that we will use mathematics, or matrix composition, that basically works with matrix, it will help us in decomposing and rebuilding the image with less information.