diff --git a/bemani/format/afp/blend.py b/bemani/format/afp/blend.py
index b226acf..427b009 100644
--- a/bemani/format/afp/blend.py
+++ b/bemani/format/afp/blend.py
@@ -168,7 +168,7 @@ except ImportError:
                     imgoff = imgx + (imgy * imgwidth)
 
                     # Calculate what texture pixel data goes here.
-                    texloc = inverse.multiply_point(Point(float(imgx), float(imgy)))
+                    texloc = inverse.multiply_point(Point(float(imgx + 0.5), float(imgy + 0.5)))
                     texx, texy = texloc.as_tuple()
 
                     # If we're out of bounds, don't update.
@@ -277,7 +277,7 @@ except ImportError:
                     continue
 
                 # Calculate what texture pixel data goes here.
-                texloc = inverse.multiply_point(Point(float(imgx), float(imgy)))
+                texloc = inverse.multiply_point(Point(float(imgx + 0.5), float(imgy + 0.5)))
                 texx, texy = texloc.as_tuple()
 
                 # If we're out of bounds, don't update.
diff --git a/bemani/format/afp/blendaltimpl.cxx b/bemani/format/afp/blendaltimpl.cxx
index 784a9e7..a4a6eeb 100644
--- a/bemani/format/afp/blendaltimpl.cxx
+++ b/bemani/format/afp/blendaltimpl.cxx
@@ -212,9 +212,9 @@ extern "C"
                 unsigned int imgoff = imgx + (imgy * work->imgwidth);
 
                 // Calculate what texture pixel data goes here.
-                point_t texloc = work->inverse.multiply_point((point_t){(float)imgx, (float)imgy});
-                int texx = roundf(texloc.x);
-                int texy = roundf(texloc.y);
+                point_t texloc = work->inverse.multiply_point((point_t){(float)imgx + (float)0.5, (float)imgy + (float)0.5});
+                int texx = texloc.x;
+                int texy = texloc.y;
 
                 // If we're out of bounds, don't update.
                 if (texx < 0 or texy < 0 or texx >= (int)work->texwidth or texy >= (int)work->texheight) {
diff --git a/bemani/format/afp/render.py b/bemani/format/afp/render.py
index 965a5c3..6501aa6 100644
--- a/bemani/format/afp/render.py
+++ b/bemani/format/afp/render.py
@@ -519,36 +519,7 @@ class AFPRenderer(VerboseOutput):
                     texture = shape.rectangle
 
                 if texture is not None:
-                    # See if we can cheat and use the faster blitting method.
-                    if (
-                        add_color.r == 0.0 and
-                        add_color.g == 0.0 and
-                        add_color.b == 0.0 and
-                        add_color.a == 0.0 and
-                        mult_color.r == 1.0 and
-                        mult_color.g == 1.0 and
-                        mult_color.b == 1.0 and
-                        mult_color.a == 1.0 and
-                        transform.a == 1.0 and
-                        transform.b == 0.0 and
-                        transform.c == 0.0 and
-                        transform.d == 1.0 and
-                        (blend == 0 or blend == 2)
-                    ):
-                        # We can!
-                        cutin = transform.multiply_point(Point.identity())
-                        cutoff = Point.identity()
-                        if cutin.x < 0:
-                            cutoff.x = -cutin.x
-                            cutin.x = 0
-                        if cutin.y < 0:
-                            cutoff.y = -cutin.y
-                            cutin.y = 0
-
-                        img.alpha_composite(texture, cutin.as_tuple(), cutoff.as_tuple())
-                    else:
-                        # We can't, so do the slow render that's correct.
-                        img = affine_composite(img, add_color, mult_color, transform, blend, texture, single_threaded=self.__single_threaded)
+                    img = affine_composite(img, add_color, mult_color, transform, blend, texture, single_threaded=self.__single_threaded)
         elif isinstance(renderable, PlacedDummy):
             # Nothing to do!
             pass
diff --git a/bemani/format/afp/types/generic.py b/bemani/format/afp/types/generic.py
index 00daad7..9d9bef5 100644
--- a/bemani/format/afp/types/generic.py
+++ b/bemani/format/afp/types/generic.py
@@ -60,7 +60,7 @@ class Point:
         }
 
     def as_tuple(self) -> Tuple[int, int]:
-        return (round(self.x), round(self.y))
+        return (int(self.x), int(self.y))
 
     def add(self, other: "Point") -> "Point":
         x = self.x + other.x