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## 1. Overview
The inverse method analysis provides a quantitative estimation of the force network inside a granular media made in a photoelastic material. With such analysis, the contact force's magnitude and orientation can be determined under some assumptions. The main idea of the inverse method is to generate a numerical photoelastic picture that matches the experimental one like illustrated below (the experimental picture comes from [the Matlab implementation of the method](https://github.com/jekollmer/PEGS)).
![img](uploads/7e9d15a3fc844774cb987ea3fb530f0e/Force_measurement.svg){width=800}
![img](uploads/7e9d15a3fc844774cb987ea3fb530f0e/Force_measurement.svg){: style="width:800"}
To achieve a good matching an optimization procedure is used, this procedure required a numerical computation of the photoelastic signal in the granular media. For cylindrical particles, such an analytical expression of this signal can be obtained using the theory of elasticity and the theory of photoelasticity.
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