In recent years, micro-robotic membranes have attracted increasing interest due to their unique properties and potential applications in various fields. The optical properties of these membranes have been playing a crucial role in the design and development of optical devices such as reflective displays with customizable colors. The primary challenge to understanding the mechanical-spectral interaction is the limitation of conventional microscopic techniques. The AFM cannot be employed when voltage is applied. Conversely, hyperspectral imaging offers insights into the spectral response but lacks the capacity to infer topological characteristics directly. In this research, I build an optical model that stands on the theoretical foundation laid by Maxwell’s equations, Fresnel equations, and the Transfer Matrix Method (TMM). By feeding the hyperspectral imaging, the model can reconstruct the 3D topologies of buckling membranes. This is achieved through least-square regressions to accurately predict height data across various points. Through this methodology, this research offers a novel framework for understanding the complex interplay between mechanical deformation and optical phenomena.