# `PRVI` (Polarimetric Radar Vegetation Index)

This functionality computes the polarimetric radar vegetation index for dual polarimetric (HH | HV), (VV | VH) SAR data. The required input and the computed output are as follows:

    input : input_c2_folder, window_size
    output: PRVI_dp.bin

The formulation of PRVI is as follows:

\[\text{PRVI}_{dp}=\Big(1-\sqrt{1-\frac{4\times\text{det([C2])}}{\text{(Trace[C2])}^2}}\Big)\sigma^\circ_{\text{XY}}\]

where, \(\text{[C2]}\) is co-variance matrix and \(\sigma^\circ_{\text{XY}}\) is corss-pol backscatter intensity.