diff --git a/src/ImageSharp/Processing/Transforms/Processors/ProjectiveTransformProcessor.cs b/src/ImageSharp/Processing/Transforms/Processors/ProjectiveTransformProcessor.cs
index eb40c3f87..0a857edd2 100644
--- a/src/ImageSharp/Processing/Transforms/Processors/ProjectiveTransformProcessor.cs
+++ b/src/ImageSharp/Processing/Transforms/Processors/ProjectiveTransformProcessor.cs
@@ -70,6 +70,7 @@ namespace SixLabors.ImageSharp.Processing.Transforms.Processors
 
             // Convert from screen to world space.
             Matrix4x4.Invert(matrix, out matrix);
+            const float Epsilon = 0.0000001F;
 
             if (this.Sampler is NearestNeighborResampler)
             {
@@ -83,7 +84,8 @@ namespace SixLabors.ImageSharp.Processing.Transforms.Processors
 
                         for (int x = 0; x < width; x++)
                         {
-                            var point = Point.Round(Vector2.Transform(new Vector2(x, y), matrix));
+                            var v3 = Vector3.Transform(new Vector3(x, y, 1), matrix);
+                            var point = Point.Round(new Vector2(v3.X, v3.Y) / MathF.Max(v3.Z, Epsilon));
                             if (sourceBounds.Contains(point.X, point.Y))
                             {
                                 destRow[x] = source[point.X, point.Y];
@@ -125,7 +127,8 @@ namespace SixLabors.ImageSharp.Processing.Transforms.Processors
                         {
                             // Use the single precision position to calculate correct bounding pixels
                             // otherwise we get rogue pixels outside of the bounds.
-                            var point = Vector2.Transform(new Vector2(x, y), matrix);
+                            var v3 = Vector3.Transform(new Vector3(x, y, 1), matrix);
+                            Vector2 point = new Vector2(v3.X, v3.Y) / MathF.Max(v3.Z, Epsilon);
 
                             // Clamp sampling pixel radial extents to the source image edges
                             Vector2 maxXY = point + radius;
diff --git a/tests/ImageSharp.Tests/Processing/Transforms/TaperTransform.cs b/tests/ImageSharp.Tests/Processing/Transforms/TaperTransform.cs
new file mode 100644
index 000000000..74d1d42c7
--- /dev/null
+++ b/tests/ImageSharp.Tests/Processing/Transforms/TaperTransform.cs
@@ -0,0 +1,103 @@
+using System.Numerics;
+using SixLabors.Primitives;
+
+namespace SixLabors.ImageSharp.Tests.Processing.Transforms
+{
+    public enum TaperSide { Left, Top, Right, Bottom }
+
+    public enum TaperCorner { LeftOrTop, RightOrBottom, Both }
+
+    public static class TaperTransform
+    {
+        public static Matrix4x4 Make(Size size, TaperSide taperSide, TaperCorner taperCorner, float taperFraction)
+        {
+            Matrix4x4 matrix = Matrix4x4.Identity;
+
+            switch (taperSide)
+            {
+                case TaperSide.Left:
+                    matrix.M11 = taperFraction;
+                    matrix.M22 = taperFraction;
+                    matrix.M13 = (taperFraction - 1) / size.Width;
+
+                    switch (taperCorner)
+                    {
+                        case TaperCorner.RightOrBottom:
+                            break;
+
+                        case TaperCorner.LeftOrTop:
+                            matrix.M12 = size.Height * matrix.M13;
+                            matrix.M32 = size.Height * (1 - taperFraction);
+                            break;
+
+                        case TaperCorner.Both:
+                            matrix.M12 = (size.Height / 2) * matrix.M13;
+                            matrix.M32 = size.Height * (1 - taperFraction) / 2;
+                            break;
+                    }
+                    break;
+
+                case TaperSide.Top:
+                    matrix.M11 = taperFraction;
+                    matrix.M22 = taperFraction;
+                    matrix.M23 = (taperFraction - 1) / size.Height;
+
+                    switch (taperCorner)
+                    {
+                        case TaperCorner.RightOrBottom:
+                            break;
+
+                        case TaperCorner.LeftOrTop:
+                            matrix.M21 = size.Width * matrix.M23;
+                            matrix.M31 = size.Width * (1 - taperFraction);
+                            break;
+
+                        case TaperCorner.Both:
+                            matrix.M21 = (size.Width / 2) * matrix.M23;
+                            matrix.M31 = size.Width * (1 - taperFraction) / 2;
+                            break;
+                    }
+                    break;
+
+                case TaperSide.Right:
+                    matrix.M11 = 1 / taperFraction;
+                    matrix.M13 = (1 - taperFraction) / (size.Width * taperFraction);
+
+                    switch (taperCorner)
+                    {
+                        case TaperCorner.RightOrBottom:
+                            break;
+
+                        case TaperCorner.LeftOrTop:
+                            matrix.M12 = size.Height * matrix.M13;
+                            break;
+
+                        case TaperCorner.Both:
+                            matrix.M12 = (size.Height / 2) * matrix.M13;
+                            break;
+                    }
+                    break;
+
+                case TaperSide.Bottom:
+                    matrix.M22 = 1 / taperFraction;
+                    matrix.M23 = (1 - taperFraction) / (size.Height * taperFraction);
+
+                    switch (taperCorner)
+                    {
+                        case TaperCorner.RightOrBottom:
+                            break;
+
+                        case TaperCorner.LeftOrTop:
+                            matrix.M21 = size.Width * matrix.M23;
+                            break;
+
+                        case TaperCorner.Both:
+                            matrix.M21 = (size.Width / 2) * matrix.M23;
+                            break;
+                    }
+                    break;
+            }
+            return matrix;
+        }
+    }
+}