Gauss-Midpoint | $NDVI(t)=a+b\times {{\text{e}}^{-{{(({{x}_{t}}-c)/d)}^{2}}}}$ | \[NDV{{I}_{\text{ratio}}}(t)=\frac{NDV{{I}_{t}}-NDV{{I}_{\min }}}{NDV{{I}_{\max }}-NDV{{I}_{\min }}}\] |
Spline-Midpoint | $NDVI(t)={{a}_{t}}{{t}^{3}}+{{b}_{t}}{{t}^{2}}+{{c}_{t}}t+{{d}_{t}}$ | \[NDV{{I}_{\text{ratio}}}(t)=\frac{NDV{{I}_{t}}-NDV{{I}_{\min }}}{NDV{{I}_{\max }}-NDV{{I}_{\min }}}\] |
HANTS-Maximum | $NDVI(t)={{a}_{0}}+\underset{i=1}{\overset{n}{\mathop \sum }}\,{{a}_{i}}\cos ({{\omega }_{i}}t-{{\varphi }_{i}})$ | \[NDV{{I}_{\text{ratio}}}(t)=\frac{NDVI(t+1)-NDVI(t)}{NDVI(t)}\] |
Polyfit-Maximum | $NDVI(t)={{a}_{0}}+{{a}_{1}}t+{{a}_{2}}{{t}^{2}}+{{a}_{3}}{{t}^{3}}+\cdots {{a}_{n}}{{t}^{n}}$ | \[NDV{{I}_{\text{ratio}}}(t)=\frac{NDVI(t+1)-NDVI(t)}{NDVI(t)}\] |
Timesat-SG | $NDVI(t)=\frac{\sum\limits_{i=-m}^{i=m}{{{C}_{i}}NDV{{I}_{j+i}}}}{N}$ | \[\text{Threshold}=20%\times (NDV{{I}_{\max }}-NDV{{I}_{\min }})\] |