diff --git a/src/torchio/transforms/preprocessing/intensity/rescale.py b/src/torchio/transforms/preprocessing/intensity/rescale.py
index 86e8d720..012cf22e 100644
--- a/src/torchio/transforms/preprocessing/intensity/rescale.py
+++ b/src/torchio/transforms/preprocessing/intensity/rescale.py
@@ -5,7 +5,7 @@
 import torch
 
 from ....data.subject import Subject
-from ....typing import TypeRangeFloat
+from ....typing import TypeDoubleFloat
 from .normalization_transform import NormalizationTransform
 from .normalization_transform import TypeMaskingMethod
 
@@ -45,10 +45,10 @@ class RescaleIntensity(NormalizationTransform):
 
     def __init__(
         self,
-        out_min_max: TypeRangeFloat = (0, 1),
-        percentiles: TypeRangeFloat = (0, 100),
+        out_min_max: TypeDoubleFloat = (0, 1),
+        percentiles: TypeDoubleFloat = (0, 100),
         masking_method: TypeMaskingMethod = None,
-        in_min_max: Optional[TypeRangeFloat] = None,
+        in_min_max: Optional[TypeDoubleFloat] = None,
         **kwargs,
     ):
         super().__init__(masking_method=masking_method, **kwargs)
@@ -65,16 +65,11 @@ def __init__(
             max_constraint=100,
         )
 
-        self.in_min: Optional[float]
-        self.in_max: Optional[float]
         if self.in_min_max is not None:
-            self.in_min, self.in_max = self._parse_range(
+            self.in_min_max = self._parse_range(
                 self.in_min_max,
                 'in_min_max',
             )
-        else:
-            self.in_min = None
-            self.in_max = None
 
         self.args_names = [
             'out_min_max',
@@ -82,7 +77,6 @@ def __init__(
             'masking_method',
             'in_min_max',
         ]
-        self.invert_transform = False
 
     def apply_normalization(
         self,
@@ -109,18 +103,16 @@ def rescale(
             )
             warnings.warn(message, RuntimeWarning, stacklevel=2)
             return tensor
+
         values = array[mask]
         cutoff = np.percentile(values, self.percentiles)
         np.clip(array, *cutoff, out=array)  # type: ignore[call-overload]
+
         if self.in_min_max is None:
-            self.in_min_max = self._parse_range(
-                (array.min(), array.max()),
-                'in_min_max',
-            )
-            self.in_min, self.in_max = self.in_min_max
-        assert self.in_min is not None
-        assert self.in_max is not None
-        in_range = self.in_max - self.in_min
+            in_min, in_max = array.min(), array.max()
+        else:
+            in_min, in_max = self.in_min_max
+        in_range = in_max - in_min
         if in_range == 0:  # should this be compared using a tolerance?
             message = (
                 f'Rescaling image "{image_name}" not possible'
@@ -128,15 +120,11 @@ def rescale(
             )
             warnings.warn(message, RuntimeWarning, stacklevel=2)
             return tensor
+
         out_range = self.out_max - self.out_min
-        if self.invert_transform:
-            array -= self.out_min
-            array /= out_range
-            array *= in_range
-            array += self.in_min
-        else:
-            array -= self.in_min
-            array /= in_range
-            array *= out_range
-            array += self.out_min
+
+        array -= in_min
+        array /= in_range
+        array *= out_range
+        array += self.out_min
         return torch.as_tensor(array)
diff --git a/src/torchio/typing.py b/src/torchio/typing.py
index c1df6430..4a393db1 100644
--- a/src/torchio/typing.py
+++ b/src/torchio/typing.py
@@ -21,6 +21,7 @@
 TypeQuartetInt = Tuple[int, int, int, int]
 TypeSextetInt = Tuple[int, int, int, int, int, int]
 
+TypeDoubleFloat = Tuple[float, float]
 TypeTripletFloat = Tuple[float, float, float]
 TypeSextetFloat = Tuple[float, float, float, float, float, float]
 
diff --git a/tests/transforms/preprocessing/test_rescale.py b/tests/transforms/preprocessing/test_rescale.py
index 8cb00485..b9d205a8 100644
--- a/tests/transforms/preprocessing/test_rescale.py
+++ b/tests/transforms/preprocessing/test_rescale.py
@@ -109,17 +109,6 @@ def test_empty_mask(self):
         with pytest.warns(RuntimeWarning):
             rescale(subject)
 
-    def test_invert_rescaling(self):
-        torch.manual_seed(0)
-        transform = tio.RescaleIntensity(out_min_max=(0, 1))
-        data = torch.rand(1, 2, 3, 4).double()
-        subject = tio.Subject(t1=tio.ScalarImage(tensor=data))
-        transformed = transform(subject)
-        assert transformed.t1.data.min() == 0
-        assert transformed.t1.data.max() == 1
-        inverted = transformed.apply_inverse_transform()
-        self.assert_tensor_almost_equal(inverted.t1.data, data)
-
     def test_persistent_in_min_max(self):
         # see https://github.com/fepegar/torchio/issues/1115
         img1 = torch.tensor([[[[0, 1]]]])