diff --git a/mizani/transforms.py b/mizani/transforms.py
index eaa7724..1907556 100644
--- a/mizani/transforms.py
+++ b/mizani/transforms.py
@@ -56,7 +56,7 @@
 )
 
 if TYPE_CHECKING:
-    from typing import Any, Callable, Sequence, Type
+    from typing import Any, Sequence, Type
 
     from mizani.typing import (
         BreaksFunction,
@@ -101,6 +101,7 @@
 ]
 
 UTC = ZoneInfo("UTC")
+REGISTRY: dict[str, Type[trans]] = {}
 
 
 @dataclass(kw_only=True)
@@ -122,6 +123,11 @@ class trans(ABC):
     minor_breaks_func: MinorBreaksFunction | None = None
     "Callable to calculate minor breaks"
 
+    def __init_subclass__(cls, *args, **kwargs):
+        # Register all subclasses
+        super().__init_subclass__(*args, **kwargs)
+        REGISTRY[cls.__name__] = cls
+
     # Use type variables for trans.transform and trans.inverse
     # to help upstream packages avoid type mismatches. e.g.
     # transform(tuple[float, float]) -> tuple[float, float]
@@ -907,15 +913,13 @@ def inverse(self, x: FloatArrayLike) -> NDArrayFloat:
         return np.sign(x) * (np.exp(np.abs(x)) - 1)  # type: ignore
 
 
-def gettrans(
-    t: str | Callable[[], Type[trans]] | Type[trans] | trans | None = None,
-):
+def gettrans(t: str | Type[trans] | trans | None = None):
     """
     Return a trans object
 
     Parameters
     ----------
-    t : str | callable | type | trans
+    t : str | type | trans
         Name of transformation function. If None, returns an
         identity transform.
 
@@ -923,20 +927,16 @@ def gettrans(
     -------
     out : trans
     """
-    obj = t
-    # Make sure trans object is instantiated
-    if t is None:
+    if isinstance(t, str):
+        names = (f"{t}_trans", t)
+        for name in names:
+            if t := REGISTRY.get(name):
+                return t()
+    elif isinstance(t, trans):
+        return t
+    elif isinstance(t, type) and issubclass(t, trans):
+        return t()
+    elif t is None:
         return identity_trans()
 
-    if isinstance(obj, str):
-        name = "{}_trans".format(obj)
-        obj = globals()[name]()
-    if callable(obj):
-        obj = obj()
-    if isinstance(obj, type):
-        obj = obj()
-
-    if not isinstance(obj, trans):
-        raise ValueError("Could not get transform object.")
-
-    return obj
+    raise ValueError(f"Could not get transform object. {t}")
diff --git a/tests/test_transforms.py b/tests/test_transforms.py
index c8ca878..e4a19d8 100644
--- a/tests/test_transforms.py
+++ b/tests/test_transforms.py
@@ -20,9 +20,11 @@
     log2_trans,
     log10_trans,
     log_trans,
+    logit_trans,
     modulus_trans,
     pd_timedelta_trans,
     probability_trans,
+    probit_trans,
     pseudo_log_trans,
     reciprocal_trans,
     reverse_trans,
@@ -46,7 +48,9 @@ def test_gettrans():
     t2 = gettrans(identity_trans)
     t3 = gettrans("identity")
     t4 = gettrans()
-    assert all(isinstance(x, identity_trans) for x in (t0, t1, t2, t3, t4))
+    assert all(
+        x.__class__.__name__ == "identity_trans" for x in (t0, t1, t2, t3, t4)
+    )
 
     with pytest.raises(ValueError):
         gettrans(object)
@@ -197,6 +201,10 @@ def test_probability_trans():
     npt.assert_allclose(xt[:3], 1 - xt[-3:][::-1])
     npt.assert_allclose(x, x2)
 
+    # Cover the paths these create as well
+    logit_trans()
+    probit_trans()
+
 
 def test_datetime_trans():
     UTC = ZoneInfo("UTC")