Phase-shifting and logical moiré

Abstract

Logical moiré uses the logical operators (and, or, xor) to generate moiré fringes from two 1-bit binary gratings within the computer. Phase shifting of these moiré fringes is easily achieved by translating the computer-generated reference gratings in steps of one picture element (pixel). We analyze the phase-shift expressions based on three, four, and five shifted patterns by using logical moiré patterns. Both simulated and real moiré demonstrations are shown.