Moiré is an interference pattern caused by the superposition of multiple periodic patterns. Although it is generally treated as an object to be removed by printing, it has been used in architectural design and art because of its visual interest. Recently, several methods have been proposed to apply moiré as an animation technique. However, existing moiré animation methods can only represent linear and beating motions, which limits the motion of the moiré. In this study, we propose a generalized method of moiré animation, which realizes motion along an arbitrary curved path and counterintuitive motion where the moiré moves back and forth despite the fact that the grating is moving only in one direction. In this study, we focus on moiré animation, which is generated by superposition of a moving grating composed by defining a moving waveform and repeating it regularly, and a fixed grating defined by a fixed waveform, phase shift, and intensity. A fixed waveform can be designed freely, and the brightness of moiré appears to move by continuously changing the phase shift in the region where moiré occurs. The proposed method allows for a wider range of expression than existing methods. Therefore, it is expected to be applied to eye-catching architectural designs and advertising applications.
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