  We are addressing the optical speedup of movements of layers in moire
patterns. We introduce a set of equations for computing curved patterns, where
the formulas of optical speedup and moire periods are kept in their simplest
form. We consider linear movements and rotations. In the presented notation,
all periods are relative to the axis of movements of layers and moire bands.
  KEYWORDS: moire patterns, line moire, superposition images, optical speedup,
moire speedup, moire magnification, periodic moire
