Investigation of dynamic displacements of lithographic press rubber roller by time average geometric moiré

Measurement of large amplitude plane vibrations of two dimensional structures

“…This paper continues the analysis of time averaged moiré techniques presented in [1]. Similar problems are analyzed in [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] and in a number of other similar papers.…”

Image hiding based on time-averaging moiré

“…Theoretically, the time of exposure should tend to infinity (we do not use stroboscopic illumination to single out one period of oscillations). In practice, it is enough that a large number of periods of oscillation would fit into the time of exposure [1,11]. As shown previously, the frequency of oscillations does not have any influence to the formation of the timeaveraged image (Eq.…”

Time Average Geometric Moiré—Back to the Basics

“…Moiré grating on the surface of a one-dimensional structure in the state of equilibrium can be interpreted as a periodic variation of black and white colors. Continuous harmonic moiré functions are well applicable for digital image processing in computational environments [5,13]:…”

“…In that case the relationship in equation (2.3) yields: x+a sin(wt+ 8 )=z. Thus, x=z−a sin (wt+ 8 ), and time averaged grayscale intensity can be expressed like [9,13]:…”

“…These classical results are represented in textbooks on experimental mechanics [4] and are exploited in numerous engineering applications involving time average projection, reflection, and geometric moiré [11][12][13]. But it appears that mathematical relationships governing the formation of time averaged fringes become much more complex than reported by Dai and Wang [8] and Liang et al [9] if the variation of the pitch of the moiré grating in time is assumed without any simplifications.…”