Chapter 1 of High Dynamic Range Video by Frédéric Dufaux, Patrick Le Callet, Rafal Mantiuk, Marta Mrak

HDR video, the first chapter of the book sets forth the foundation of HDR which is comparametric equations, and also includes an important link between comparametric equations and quantum field theory. Chapter 1, comparametric equations, pages 1 to 88. CHAPTER OUTLINE 1.1 Introduction to High Dynamic Range Imaging..................................................................... 1.1.1 The Fundamental Concept of HDR Sensing and Metasensing................................ 1.1.2 The Fundamental Principle of HDR: Dynamic Range and Dynamage Range ............... 1.1.3 HDR Imaging Techniques .......................................................................... 1.1.4 HDR From Multiple Exposures .................................................................... 1.2 Historical Motivation for HDR Imaging ............................................................................. 1.3 Theory of HDR Imaging................................................................................................ 1.3.1 The Wyckoff Principle and the Range of Light .................................................. 1.3.2 What’s Good for the Domain Is Good for the Range ............................................ 1.3.3 Extending Dynamic Range and Improvement of Range Resolution by Combining Differently Exposed Pictures of the Same Subject Matter .................................... 1.3.4 The Photoquantity, q ................................................................................ 1.3.5 The Camera as an Array of Light Meters ......................................................... 1.3.6 The Accidentally Discovered Compander ........................................................ 1.3.7 Why Stockham Was Wrong ......................................................................... 1.3.8 The Value of Doing the Exact Opposite of What Stockham Advocated ...................... 1.3.9 Using Differently Exposed Pictures of the Same Subject Matter to Get a Better Estimate of q .................................................................................................... 1.3.10 Exposure Interpolation and Extrapolation........................................................ 1.4 Comparametric Image Processing: Comparing Differently Exposed Images of the Same Subject Matter 1.4.1 Misconceptions About Gamma Correction ....................................................... 1.4.2 Comparametric Plots and Comparametric Equations .......................................... 1.4.3 Zeta Correction of Images .......................................................................... 1.4.4 The Affine Comparametric Equation and Affine Correction of Images....................... 1.4.5 The Preferred Correction of Images............................................................... 1.4.6 Some Solutions to Some Comparametric Equations That Are Particularly Illustrative or Useful .............................................................................................. 1.4.7 Properties of Comparametric Equations ......................................................... High Dynamic Range Video. http://dx.doi.org/10.1016/B978-0-08-100412-8.00001-2 © 2016 Elsevier Ltd. All rights reserved. 2 2 4 5 5 5 6 7 8 8 9 9 10 12 13 14 18 18 18 20 21 22 24 25 25

At the time of rapid technological progress and uptake of High Dynamic Range (HDR) video content in numerous sectors, this book provides an overview of the key supporting technologies, discusses the effectiveness of various techniques, reviews the initial standardization efforts and explores new research directions in all aspects involved in HDR video systems.

Topics addressed include content acquisition and production, tone mapping and inverse tone mapping operators, coding, quality of experience, and display technologies. This book also explores a number of applications using HDR video technologies in the automotive industry, medical imaging, spacecraft imaging, driving simulation and watermarking.

By covering general to advanced topics, along with a broad and deep analysis, this book is suitable for both the researcher new or familiar to the area.

With this book the reader will:

• Gain a broad understanding of all the elements in the HDR video processing chain
• Learn the most recent results of ongoing research
• Understand the challenges and perspectives for HDR video technologies

• Covers a broad range of topics encompassing the whole processing chain in HDR video systems, from acquisition to display
• Provides a comprehensive overview of this fast emerging topic
• Presents upcoming applications taking advantages of HDR

At the time of rapid technological progress and uptake of High Dynamic Range (HDR) video content in numerous sectors, this book provides an overview of the key supporting technologies, discusses the effectiveness of various techniques, reviews the initial standardization efforts and explores new research directions in all aspects involved in HDR video systems. Topics addressed include content acquisition and production, tone mapping and inverse tone mapping operators, coding, quality of experience, and display technologies. This book also explores a number of applications using HDR video technologies in the automotive industry, medical imaging, spacecraft imaging, driving simulation and watermarking. By covering general to advanced topics, along with a broad and deep analysis, this book is suitable for both the researcher new or familiar to the area. With this book the reader will: Gain a broad understanding of all the elements in the HDR video processing chain Learn the most recent results of ongoing research Understand the challenges and perspectives for HDR video technologies Covers a broad range of topics encompassing the whole processing chain in HDR video systems, from acquisition to display Provides a comprehensive overview of this fast emerging topic Presents upcoming applications taking advantages of HDR "This book provides an overview of the key technologies for high dynamic range (HDR) video and discusses the effectiveness of various techniques, while also reviewing relevant standardization efforts and exploring new research directions in all aspects involved in HDR video systems." --back cover