# `PRVI` (Polarimetric Radar Vegetation Index)

This functionality computes the polarimetric Radar vegetation index for full polarimetric SAR data. The required input and the computed output are as follows:

    input : input_T3/C3_folder, window_size
    output: PRVI_FP.bin

The formlation of PRVI interms of degree of polarization and cross-pol backscatter intensity can be expressed as follows:

\[\text{PRVI}_{fp}=(1-\text{DOP}_{fp})\sigma^\circ_{\text{XY}}\]

where, \(\text{DOP}_{fp}\) 3D Barakt degree of polarization and can be expressed as shown below. Further details on the PRVI can be found in [[1]](#1)

\[\text{DOP}_{fp}=\sqrt{1-\frac{27\times\text{det([T3])}}{\text{(Trace[T3])}^3}}\]