# `GRVI` (Generalized volume based Radar Vegetation Index)

This functionality computes the generalized volume based 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 : GRVI.bin

The formulation of GRVI is as follows:

\[\text{GRVI} = \left(1 - \text{GD}_{\text{GV}}\right)\Big(\frac{p}{q}\Big)^{2\,\text{GD}_{\text{GV}}}, \quad 0\le \text{GRVI} \le 1\]

where, \(\text{GD}_{\text{GV}}\) is the geodesic distance between Kennaugh \((\mathbf{K})\) matrices of the observed and the generalized volume scattering model, \(p,q\) are minimum and maximum value of distances between \(\mathbf{K}\) matrices of the observed and elementary targets respectively. A detailed explanation of GRVI is available in.