In this talk, I will talk about the reconstruction problem of the holomorphic tangent bundle $$extract_itex$$T_{mathbb{P}^2}$$/extract_itex$$ of the complex projective plane $$extract_itex$$mathbb{P}^2$$/extract_itex$$. I will introduce the notion of tropical Lagrangian multi-section and cook up one from a family of Hermitian metrics defined on $$extract_itex$$T_{mathbb{P}^2}$$/extract_itex$$. Then I perform the reconstruction of $$extract_itex$$T_{mathbb{P}^2}$$/extract_itex$$ from this tropical Lagrangian multi-section. If time allows, I will talk about how this reconstruction process can be applied to obtain some indecomposable rank 2 bundles on polarized K3 surfaces.