© 2009

The Theory of the Moiré Phenomenon

Volume I: Periodic Layers

  • Isaac Amidror
  • Most comprehensive and methodical work on the theory of the moiré phenomenon

  • Provides a general purpose, application-independent exposition of the subject

  • Favours a pictorial, intuitive approach which is supported by mathematics

  • Expanded with the inclusion of additional topics, more figures, and new and revised problems, cross-referencing


Part of the Computational Imaging and Vision book series (CIVI, volume 38)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Isaac Amidror
    Pages 1-8
  3. Isaac Amidror
    Pages 9-58
  4. Isaac Amidror
    Pages 59-80
  5. Isaac Amidror
    Pages 165-190
  6. Isaac Amidror
    Pages 233-248
  7. Isaac Amidror
    Pages 353-374
  8. Back Matter
    Pages 375-529

About this book


This is a new, revised and updated edition of the original book by Isaac Amidror. It presents the most comprehensive and methodical work on the theory of the moiré phenomenon, providing a full general-purpose and application-independent exposition of this fascinating effect. Based on the Fourier theory, it leads the reader through the various phenomena which occur in the superposition of repetitive layers, both in the image and in the spectral domains. The first chapters of the book present the basic theory which covers the superposition of monochrome, periodic layers. In later chapters the theory is extended to the even more interesting cases of polychromatic moirés and moirés between repetitive, non-periodic layers. Throughout the whole text the book favours a pictorial, intuitive approach which is supported by mathematics, and the discussion is accompanied by a large number of figures and illustrative examples, some of which are visually attractive and even spectacular.

This book is intended for students, scientists, engineers and any readers who wish to widen their knowledge of the moiré effect. It also offers a beautiful demonstration of the Fourier theory and its relationship with other fields of mathematics and science. The prerequisite mathematical background is limited to an elementary familiarity with calculus and with the Fourier theory.


DEX Mathematica Volume algebra derivation form function functions layers macros mathematics moire phenomenon

Editors and affiliations

  • Isaac Amidror
    • 1
  1. 1.Department InformatiqueEcole Polytechnique Fédérale de LausanneLausanneSwitzerland

Bibliographic information