Quasi-moire patterns: their generation and geometry

This paper deals with the observation of quasi-moire patterns generated when an original 2D transparency is superimposed onto a copy of itself, and coplanarly rotated. Patterns are also observed if one of the transparency is the scaled-up or -down replica of the original. Also, patterns are observed if different scaling coefficients are applied in different directions. Besides, the quasi-moire patterns are observed when one of the transparencies is skewed. Quasi-moire patterns are generated by autocorrelation between the pair of transparencies: circular, elliptical, parabolic, hyperbolical, radial lines, and logarithmic spirals quasi-moire patterns are generated and that can be associated with generalized conics curves.