Geometric moiré is a classical optical experimental technique used for full-field, non-contact measurement of displacements and strains. Geometric moiré has been overshadowed by finite element method over the past three decades. However, new developments and applications, such as low-cost dynamic double exposure moiré, moiré applications in stereolitography, etc., have revived the use of experimental geometric moiré. A number of new significant questions appear when time-average geometric moiré techniques are being applied for scientific and engineering problems. Digital image processing, mathematical and statistical analysis, special numerical methods and elements of chaos theory help to extend the limits of optical experimental time-average moiré techniques. Time-average stochastic moiré, time-average super-moiré, applicability of time-average geometric moiré for chaotic oscillations, new quadrature rules for the construction of time-averaged moiré fringes in real time mode are main results presented in this book. It will be useful for graduate students, researchers and scientists working in the areas of modeling and applications of geometric moiré.