diff --git a/src/layouting/boundingbox.jl b/src/layouting/boundingbox.jl
index 221d48e9b..29cf91828 100644
--- a/src/layouting/boundingbox.jl
+++ b/src/layouting/boundingbox.jl
@@ -67,8 +67,8 @@ function raw_boundingbox(plots::Vector)
         plot_idx = iterate(plots, idx)
         # isvisible(plot) || continue
         bb2 = boundingbox(plot)
-        isfinite(bb) || (bb = bb2)
-        isfinite(bb2) || continue
+        isfinite_rect(bb) || (bb = bb2)
+        isfinite_rect(bb2) || continue
         bb = union(bb, bb2)
     end
     return bb
@@ -192,7 +192,7 @@ function boundingbox(
                 # bb = rectdiv(bb, 1.5)
                 shifted_bb = FRect3D(rotated_bb) + position[i]
                 bboxc = bbox[]
-                if !isfinite(bboxc)
+                if !isfinite_rect(bboxc)
                     bbox[] = shifted_bb
                 else
                     bbox[] = union(bboxc, shifted_bb)
diff --git a/src/layouting/data_limits.jl b/src/layouting/data_limits.jl
index c442fa7b6..41e07ad98 100644
--- a/src/layouting/data_limits.jl
+++ b/src/layouting/data_limits.jl
@@ -57,7 +57,7 @@ function extrema_nan(itr)
 end
 
 function xyz_boundingbox(transform_func, mesh::GeometryBasics.Mesh)
-    xyz_boundingbox(transform_func, coordinates(mesh))
+    xyz_boundingbox(transform_func, decompose(Point, mesh))
 end
 
 function xyz_boundingbox(transform_func, xyz)
@@ -121,7 +121,7 @@ function data_limits(x::Annotations)
     return inv(modelmatrix(x)) * bb
 end
 
-Base.isfinite(x::Rect) = all(isfinite.(minimum(x))) &&  all(isfinite.(maximum(x)))
+isfinite_rect(x::Rect) = all(isfinite.(minimum(x))) &&  all(isfinite.(maximum(x)))
 
 function data_limits(plots::Vector)
     isempty(plots) && return
@@ -133,8 +133,8 @@ function data_limits(plots::Vector)
         # axis shouldn't be part of the data limit
         isaxis(plot) && continue
         bb2 = data_limits(plot)::FRect3D
-        isfinite(bb) || (bb = bb2)
-        isfinite(bb2) || continue
+        isfinite_rect(bb) || (bb = bb2)
+        isfinite_rect(bb2) || continue
         bb = union(bb, bb2)
     end
     bb
diff --git a/src/layouting/transformation.jl b/src/layouting/transformation.jl
index e02488084..dc670123c 100644
--- a/src/layouting/transformation.jl
+++ b/src/layouting/transformation.jl
@@ -214,6 +214,30 @@ apply_transform(f::typeof(identity), positions::AbstractArray) = positions
 apply_transform(f::typeof(identity), positions::AbstractVector) = positions
 apply_transform(f::typeof(identity), position::VecTypes) = position
 
+struct PointTrans{N, F}
+    f::F
+end
+
+PointTrans{N}(func::F) where {N, F} = PointTrans{N, F}(func)
+Base.broadcastable(x::PointTrans) = (x,)
+
+function apply_transform(f::PointTrans{N}, point::Point{N}) where N
+    return f.f(point)
+end
+
+function apply_transform(f::PointTrans{N1}, point::Point{N2}) where {N1, N2}
+    p_dim = to_ndim(Point{N1, Float32}, point, 0.0)
+    p_trans = f.f(p_dim)
+    if N1 < N2
+        p_large = ntuple(i-> i <= N1 ? p_trans[i] : point[i], N2)
+        return Point{N2, Float32}(p_large)
+    else
+        return to_ndim(Point{N2, Float32}, p_trans, 0.0)
+    end
+end
+
+
+
 function apply_transform(f, data::AbstractArray)
     return map(point-> apply_transform(f, point), data)
 end
diff --git a/src/makielayout/layoutables/axis.jl b/src/makielayout/layoutables/axis.jl
index b1012c733..2c73c625c 100644
--- a/src/makielayout/layoutables/axis.jl
+++ b/src/makielayout/layoutables/axis.jl
@@ -166,7 +166,7 @@ function Axis(fig_or_scene; bbox = nothing, kwargs...)
         ticksvisible = yticksvisible, spinevisible = yspinevisible, spinecolor = yspinecolor, spinewidth = spinewidth,
         trimspine = ytrimspine, ticklabelsize = yticklabelsize, ticksize = yticksize, flip_vertical_label = flip_ylabel, reversed = yreversed, tickwidth = ytickwidth,
             tickcolor = ytickcolor)
-            
+
     decorations[:yaxis] = yaxis
 
     xoppositelinepoints = lift(scene.px_area, spinewidth, xaxisposition) do r, sw, xaxpos
@@ -436,7 +436,7 @@ function getlimits(la::Axis, dim)
         plots_with_autolimits)
 
     bboxes = [FRect2D(AbstractPlotting.data_limits(p)) for p in visible_plots]
-    finite_bboxes = filter(isfinite, bboxes)
+    finite_bboxes = filter(AbstractPlotting.isfinite_rect, bboxes)
 
     isempty(finite_bboxes) && return nothing
 
diff --git a/test/unit_tests/runtests.jl b/test/unit_tests/runtests.jl
index 34fa59817..01ef8e26c 100644
--- a/test/unit_tests/runtests.jl
+++ b/test/unit_tests/runtests.jl
@@ -13,4 +13,5 @@
     include("liftmacro.jl")
     include("makielayout.jl")
     include("figures.jl")
+    include("transformations.jl")
 end
diff --git a/test/unit_tests/transformations.jl b/test/unit_tests/transformations.jl
new file mode 100644
index 000000000..6b8513b2a
--- /dev/null
+++ b/test/unit_tests/transformations.jl
@@ -0,0 +1,24 @@
+using AbstractPlotting: PointTrans, xyz_boundingbox
+
+@testset "Basic transforms" begin
+    function point2(x::Point2)
+        return Point2f0(x[1] + 10, x[2] - 77)
+    end
+
+    function point3(x::Point3)
+        return Point3f0(x[1] + 10, x[2] - 77, x[3] /  4)
+    end
+    trans2 = PointTrans{2}(point2)
+    trans3 = PointTrans{3}(point3)
+    points = [Point2f0(0, 0), Point2f0(0, 1)]
+    bb = xyz_boundingbox(trans2, points)
+    @test bb == Rect(Vec3f0(10, -77, 0), Vec3f0(0, 1, 0))
+    bb = xyz_boundingbox(trans3, points)
+    @test bb == Rect(Vec3f0(10, -77, 0), Vec3f0(0, 1, 0))
+
+    points = [Point3f0(0, 0, 4), Point3f0(0, 1, -8)]
+    bb = xyz_boundingbox(trans2, points)
+    @test bb == Rect(Vec3f0(10, -77, -8), Vec3f0(0, 1, 12))
+    bb = xyz_boundingbox(trans3, points)
+    @test bb == Rect(Vec3f0(10, -77, -2.0), Vec3f0(0, 1, 3.0))
+end