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lines changed Original file line number Diff line number Diff line change @@ -35,12 +35,11 @@ class ErrorRelativeGlobalDimensionlessSynthesis(Metric):
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band of the result image. It is defined as:
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.. math::
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- ERGAS = 100 \cdot \ frac{h}{l } \cdot \sqrt{\frac{1}{N} \sum_{k=1}^{N} \frac{RMSE(B_k)^2}{\mu_k^2}}
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+ ERGAS = \ frac{100}{r } \cdot \sqrt{\frac{1}{N} \sum_{k=1}^{N} \frac{RMSE(B_k)^2}{\mu_k^2}}
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- where :math:`h` and :math:`l` denote the spatial resolution (pixel size) of the high and low resolution images,
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- often shorted to the ratio between them :math:`r=h/l`. :math:`N` is the number of spectral bands, :math:`RMSE(B_k)`
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- is the root mean square error of the k-th band between low and high resolution images, and :math:`\\mu_k` is the
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- mean value of the k-th band of the reference image.
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+ where :math:`r=h/l` denote the ratio in spatial resolution (pixel size) between the high and low resolution images.
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+ :math:`N` is the number of spectral bands, :math:`RMSE(B_k)` is the root mean square error of the k-th band between
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+ low and high resolution images, and :math:`\\mu_k` is the mean value of the k-th band of the reference image.
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As input to ``forward`` and ``update`` the metric accepts the following input
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