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chapters, has been a tremendous collaborator for the advancement of this book. All of those responsible for the chapters have seen that, Pauline has been my shadow over the past two years, to ensure that these two works could see the light of day in 2021. Thank you Pauline! To conclude, I would like to warmly thank all of the members of my family, and in particular Magali and our three children, Carla, Loriane and Julian, whom I love very much and who have constantly supported me.

      November 2021

      How to Reconstruct the History of a Digital Image, and of Its Alterations

       Quentin BAMMEY1, Miguel COLOM1, Thibaud EHRET1, Marina GARDELLA1, Rafael GROMPONE1, Jean-Michel MOREL1, Tina NIKOUKHAH1 and Denis PERRAUD2

       1 Centre Borelli, ENS Paris-Saclay, University of Paris-Saclay, CNRS, Gif-sur-Yvette, France

       2 Technical and Scientific Police, Central Directorate of the Judicial Police, Lyon, France

      Between its raw acquisition from a camera sensor and its storage, an image undergoes a series of operations: denoising, demosaicing, white balance, gamma correction and compression. These operations produce artifacts in the final image, often imperceptible to the naked eye but yet detectable. By analyzing those artifacts, it is possible to reconstruct the history of an image. Indeed, one can model the different operations that took place during the creation of the image, as well as their order and parameters.

      Information about the specific camera pipeline of an image is relevant by itself, in particular because it can guide the restoration of the image. More importantly, it provides an identifying signature of the image. A model of the pipeline that is inconsistent across the whole image is often a clue that the image has been tampered with.

      We will therefore review the operations undergone by the raw image, and describe the artifacts they leave in the final image. For each of these operations, we will discuss how to model them to detect the significant anomalies caused by a possible manipulation of the image.

      1.1.1. General context

      The Internet, digital media, new means of communication and social networks have accelerated the emergence of a connected world where perfect mastery over information becomes utopian. Images are ubiquitous and therefore have become an essential part of the news. Unfortunately, they have also become a tool of disinformation aimed at distracting the public from reality.

      Manipulation of images happens everywhere. Simply removing red eyes from family photos could already be called an image manipulation, whereas it is simply aimed at making an image taken with the flash on look more natural. Even amateur photographers can easily erase the electric cables from a vacation panorama and correct physical imperfections such as wrinkles on a face, not to mention the touch-ups done on models in magazines.

      Beyond these mostly benign examples, image manipulation can lead to falsified results in scientific publications, reports or journalistic articles. Altered images can imply an altered meaning, and can thus be used as fake evidence, for instance to use as defamation against someone or report a paranormal phenomenon. More frequently, falsified images are published and relayed on social media, in order to create and contribute to the spread of fake news.

      1.1.2. Criminal background

      These new possibilities of image manipulation have been exploited for a long time by governments, criminal organizations and offenders. Stalinist propaganda images can come to mind, in which certain characters who had become undesirable were removed from official photographs (Figure 1.1).

      Figure 1.1. An example showing how an image has been modified several times in a row, each person who had lost favor seeing their image removed from the photo. Only Joseph Stalin appears in all four photos

      1.1.3. Issues for law enforcement

      In the past, confessions, testimonies or photographs were enough to prove guilt. Technologies were not sufficiently developed to mislead investigators. Today, these methods are no longer sufficient and law enforcement authorities need innovative scientific tools to be able to present reliable evidence in court. As technology evolves rapidly, law enforcement agencies must continuously ensure scientific monitoring in order to keep up with the state-of-the-art technology, to anticipate and to have the most recent tools available to detect manipulation and other forms of cheating for malicious purposes. It is essential to maintain a high level of training for the experts responsible for authenticating the images. In fact, the role of the police, and in particular of the technical and scientific police, is to highlight any falsification in order to allow perpetrators to be sentenced, but also to exonerate the persons under judicial enquiry if they are innocent or if their crime cannot be proven. The role of the expert in image authentication is to detect any form of manipulation, rigging or editing aimed at distorting reality. They must be able to answer the following questions:

       – Is the image real?

       – Does it represent the real scene?

       – What is the history of the image and its possible manipulations?

       – What is the manipulated part?

       – Has the image come from the device that supposedly took it?

      In general, it is easier to conclude that an image is falsified than to say it is authentic. Detecting manipulation traces is getting harder over time, as new forgery methods are being developed. As a

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