Variations of images to increase their visibility

TL;DR

This paper explores image variation techniques to enhance visibility, combining experimental visualization using Gimp with a proposed numerical model based on the calculus of variations and a visibility functional inspired by optical interference.

Contribution

It introduces an experimental approach with Gimp for visualizing image variations and proposes a new visibility functional within a calculus of variations framework.

Findings

Gimp tool effectively visualizes image variations

Proposed visibility functional enhances image visibility

Numerical model supports extremization of visibility actions

Abstract

The calculus of variations applied to the image processing requires some numerical models able to perform the variations of images and the extremization of appropriate actions. To produce the variations of images, there are several possibilities based on the brightness maps. Before a numerical model, I propose an experimental approach, based on a tool of Gimp, GNU Image Manipulation Program, in order to visualize how the image variations can be. After the discussion of this tool, which is able to strongly increase the visibility of images, the variations and a possible functional for the visibility are proposed in the framework of a numerical model. The visibility functional is analogous to the fringe visibility of the optical interference.