Question:

Transformed Vegetation Index is expressed as

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Vegetation indices:
- NDVI: \(\frac{\mathrm{NIR} - \mathrm{RED}}{\mathrm{NIR} + \mathrm{RED}}\).
- TVI: \(\sqrt{\mathrm{NDVI}}\).
- GVI: Green Vegetation Index.
  • \(\sqrt{\mathrm{NDVI}}\)
  • (NDVI)$^2$
  • \(\sqrt{\mathrm{GVI}}\)
  • \(\sqrt{0.5 + \mathrm{NDVI}}\)
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The Correct Option is A

Solution and Explanation

Step 1: Understanding the Question:
This question tests knowledge of vegetation indices used in remote sensing.

Step 2: Detailed Explanation:

The Transformed Vegetation Index (TVI) is expressed as \(\sqrt{\mathrm{NDVI}}\).
The Normalized Difference Vegetation Index (NDVI) is calculated as:
\[ \mathrm{NDVI} = \frac{\mathrm{NIR} - \mathrm{RED}}{\mathrm{NIR} + \mathrm{RED}} \] TVI is a transformation of NDVI that reduces the effect of soil background and enhances the correlation with vegetation cover.
Other options:
- (NDVI)$^2$ (B): Not TVI.
- \(\sqrt{\mathrm{GVI}}\) (C): Green Vegetation Index (not TVI).
- \(\sqrt{0.5 + \mathrm{NDVI}}\) (D): Not TVI.
Thus, TVI is \(\sqrt{\mathrm{NDVI}}\).

Step 3: Final Answer:

Thus, the Transformed Vegetation Index is \(\sqrt{\mathrm{NDVI}}\), which corresponds to option (A).
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