Previous work has gone towards using moiré patterns formed with lenticular lenses to perform pose estimation for short ranges. This thesis investigates existing theory of moiré patterns, most notably the Fourier and first harmonic approximation models. This theory has been drawn upon to create a generalised model of planar moiré patterns in 3D. For example, those generated from two patterns with fine grids separated in space. This improves on previous research that does not investigate this specific kind of 3D pattern as closely. This thesis also developed a framework that simulates moiré patterns using this model. Along with this, the proposed framework can also solve pose information about a moiré pattern given an image. Experiments varying camera lateral translation were accurate for the close-range testing, with about 10 mm accuracy from a distance of 160 mm. Results from varying camera distance where 0–130 mm accuracy varied from ranges 100–2000 mm. A y-tilt estimation experiment was performed using the solver from this framework. At 3.116 m it was able to estimate an angle with an error of 5° for angles as wide as 30° and was able to estimate angles with an error of 0.25° for angles less than 5°. This is better than similar existing methods such as the Metria Moiré Phase Tracking marker’s maximum absolute errors of up to 2.8 mm and 2.1°.