The Theory of the Moiré Phenomenon

1. Front Matter

   Pages i-xvii

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2. Introduction

   • Isaac Amidror

   Pages 1-8

3. Background and basic notions

   • Isaac Amidror

   Pages 9-58

4. Moiré minimization

   • Isaac Amidror

   Pages 59-80

5. The moiré profile form and intensity levels

   • Isaac Amidror

   Pages 81-108

6. The algebraic foundation of the spectrum properties

   • Isaac Amidror

   Pages 109-148

7. Fourier-based interpretation of the algebraic spectrum properties

   • Isaac Amidror

   Pages 149-164

8. The superposition phase

   • Isaac Amidror

   Pages 165-190

9. Macro- and microstructures in the superposition

   • Isaac Amidror

   Pages 191-232

10. Polychromatic moiré effects

    • Isaac Amidror

    Pages 233-248

11. Moirés between repetitive, non-periodic layers

    • Isaac Amidror

    Pages 249-352

12. Other possible approaches for moiré analysis

    • Isaac Amidror

    Pages 353-374

13. Back Matter

    Pages 375-474

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Who has not noticed, on one o~casion or another, those intriguing geometric patterns which appear at the intersection Of repetitive structures such as two far picket fences on a hill, the railings on both sides of a bridge, superposed layers of fabric, or folds of a nylon curtain? This fascinating phenomenon, known as the moire effect, has found useful applications in several fields of science and technology, such as metrology, strain analysis or even document authentication and anti-counterfeiting. However, in other situations moire patterns may have an unwanted, adverse effect. This is the case in the printing world, and, in particular, in the field of colour reproduction: moire patterns which may be caused by the dot-screens used for colour printing may severely deteriorate the image quality and tum into a real printer's nightmare. The starting point of the work on which this book is based was, indeed, in the research of moire phenomena in the context of the colour printing process. The initial aim of this research was to understand the nature and the causes of the superposition moire patterns between regular screens in order to find how to avoid, or at least minimize, their adverse effect on colour printing. This interesting research led us, after all, to a much more far­ reaching mathematical understanding of the moire phenomenon, whose interest stands in its own right, independently of any particular application.

• DEX
• Fourier transform
• Mathematica
• algebra
• form
• knowledge
• layers
• mathematics

• Peripheral Systems Laboratory, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

  Isaac Amidror

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