diff --git a/Project.toml b/Project.toml
index d02f6b4..2f7a05d 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,7 +1,7 @@
 name = "StridedViews"
 uuid = "4db3bf67-4bd7-4b4e-b153-31dc3fb37143"
 authors = ["Lukas Devos <lukas.devos@ugent.be>", "Jutho Haegeman <jutho.haegeman@ugent.be>"]
-version = "0.3.2"
+version = "0.3.3"
 
 [deps]
 CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
diff --git a/src/auxiliary.jl b/src/auxiliary.jl
index 78a5be4..ccc95b3 100644
--- a/src/auxiliary.jl
+++ b/src/auxiliary.jl
@@ -45,6 +45,10 @@ function _normalizestrides(size::Dims{N}, strides::Dims{N}) where {N}
     return strides
 end
 
+# 'Normalize' the layout of a DenseArray, in order to reduce the number of required
+# specializations in functions.
+@inline _normalizeparent(A::DenseArray) = reshape(A, length(A))
+
 # Auxiliary methods for `sview`
 #------------------------------
 # Compute the new dimensions of a strided view given the original size and the view slicing
diff --git a/src/stridedview.jl b/src/stridedview.jl
index 03e2abc..2a5c3e5 100644
--- a/src/stridedview.jl
+++ b/src/stridedview.jl
@@ -34,13 +34,15 @@ end
 
 # Constructors
 #--------------
-function StridedView(parent::A,
+function StridedView(parent::DenseArray,
                      size::NTuple{N,Int}=size(parent),
                      strides::NTuple{N,Int}=strides(parent),
                      offset::Int=0,
-                     op::F=identity) where {A<:DenseArray,N,F}
+                     op::F=identity) where {N,F}
     T = Base.promote_op(op, eltype(parent))
-    return StridedView{T,N,A,F}(parent, size, _normalizestrides(size, strides), offset, op)
+    parent′ = _normalizeparent(parent)
+    strides′ = _normalizestrides(size, strides)
+    return StridedView{T,N,typeof(parent′),F}(parent′, size, strides′, offset, op)
 end
 
 StridedView(a::StridedView) = a
diff --git a/test/runtests.jl b/test/runtests.jl
index 5f3d284..c8d7791 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -13,7 +13,7 @@ Random.seed!(1234)
         @test isstrided(A1)
         @test isstrided(B1)
         @test C1 === B1
-        @test parent(B1) === A1
+        @test parent(B1) == reshape(A1, :)
         @test Base.elsize(B1) == Base.elsize(A1)
         for op1 in (identity, conj, transpose, adjoint)
             if op1 == transpose || op1 == adjoint