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| import torch |
| from torch import Tensor |
| from typing_extensions import Literal |
|
|
| from torchmetrics.utilities.checks import _check_same_shape |
| from torchmetrics.utilities.distributed import reduce |
|
|
|
|
| def _ergas_update(preds: Tensor, target: Tensor) -> tuple[Tensor, Tensor]: |
| """Update and returns variables required to compute Erreur Relative Globale Adimensionnelle de Synthèse. |
| |
| Args: |
| preds: Predicted tensor |
| target: Ground truth tensor |
| |
| """ |
| if preds.dtype != target.dtype: |
| raise TypeError( |
| "Expected `preds` and `target` to have the same data type." |
| f" Got preds: {preds.dtype} and target: {target.dtype}." |
| ) |
| _check_same_shape(preds, target) |
| if len(preds.shape) != 4: |
| raise ValueError( |
| f"Expected `preds` and `target` to have BxCxHxW shape. Got preds: {preds.shape} and target: {target.shape}." |
| ) |
| return preds, target |
|
|
|
|
| def _ergas_compute( |
| preds: Tensor, |
| target: Tensor, |
| ratio: float = 4, |
| reduction: Literal["elementwise_mean", "sum", "none", None] = "elementwise_mean", |
| ) -> Tensor: |
| """Erreur Relative Globale Adimensionnelle de Synthèse. |
| |
| Args: |
| preds: estimated image |
| target: ground truth image |
| ratio: ratio of high resolution to low resolution |
| reduction: a method to reduce metric score over labels. |
| |
| - ``'elementwise_mean'``: takes the mean (default) |
| - ``'sum'``: takes the sum |
| - ``'none'`` or ``None``: no reduction will be applied |
| |
| Example: |
| >>> from torch import rand |
| >>> preds = rand([16, 1, 16, 16]) |
| >>> target = preds * 0.75 |
| >>> preds, target = _ergas_update(preds, target) |
| >>> torch.round(_ergas_compute(preds, target)) |
| tensor(10.) |
| |
| """ |
| b, c, h, w = preds.shape |
| preds = preds.reshape(b, c, h * w) |
| target = target.reshape(b, c, h * w) |
|
|
| diff = preds - target |
| sum_squared_error = torch.sum(diff * diff, dim=2) |
| rmse_per_band = torch.sqrt(sum_squared_error / (h * w)) |
| mean_target = torch.mean(target, dim=2) |
|
|
| ergas_score = 100 / ratio * torch.sqrt(torch.sum((rmse_per_band / mean_target) ** 2, dim=1) / c) |
| return reduce(ergas_score, reduction) |
|
|
|
|
| def error_relative_global_dimensionless_synthesis( |
| preds: Tensor, |
| target: Tensor, |
| ratio: float = 4, |
| reduction: Literal["elementwise_mean", "sum", "none", None] = "elementwise_mean", |
| ) -> Tensor: |
| """Calculates `Error relative global dimensionless synthesis`_ (ERGAS) metric. |
| |
| Args: |
| preds: estimated image |
| target: ground truth image |
| ratio: ratio of high resolution to low resolution |
| reduction: a method to reduce metric score over labels. |
| |
| - ``'elementwise_mean'``: takes the mean (default) |
| - ``'sum'``: takes the sum |
| - ``'none'`` or ``None``: no reduction will be applied |
| |
| Return: |
| Tensor with RelativeG score |
| |
| Raises: |
| TypeError: |
| If ``preds`` and ``target`` don't have the same data type. |
| ValueError: |
| If ``preds`` and ``target`` don't have ``BxCxHxW shape``. |
| |
| Example: |
| >>> from torch import rand |
| >>> from torchmetrics.functional.image import error_relative_global_dimensionless_synthesis |
| >>> preds = rand([16, 1, 16, 16]) |
| >>> target = preds * 0.75 |
| >>> error_relative_global_dimensionless_synthesis(preds, target) |
| tensor(9.6193) |
| |
| """ |
| preds, target = _ergas_update(preds, target) |
| return _ergas_compute(preds, target, ratio, reduction) |
|
|