Merge pull request #2761 from SixLabors/js/affine-fix-v4

v4 - Fix off-by-one error when centering a transform.

src/ImageSharp/Processing/AffineTransformBuilder.cs

@@ -11,7 +11,8 @@ namespace SixLabors.ImageSharp.Processing;
 /// </summary>
 public class AffineTransformBuilder
 {
-    private readonly List<Func<Size, Matrix3x2>> matrixFactories = new List<Func<Size, Matrix3x2>>();
+    private readonly List<Func<Size, Matrix3x2>> transformMatrixFactories = new();
+    private readonly List<Func<Size, Matrix3x2>> boundsMatrixFactories = new();
 
     /// <summary>
     /// Prepends a rotation matrix using the given rotation angle in degrees
@@ -29,7 +30,9 @@ public class AffineTransformBuilder
     /// <param name="radians">The amount of rotation, in radians.</param>
     /// <returns>The <see cref="AffineTransformBuilder"/>.</returns>
     public AffineTransformBuilder PrependRotationRadians(float radians)
-        => this.Prepend(size => TransformUtils.CreateRotationMatrixRadians(radians, size));
+        => this.Prepend(
+            size => TransformUtils.CreateRotationTransformMatrixRadians(radians, size),
+            size => TransformUtils.CreateRotationBoundsMatrixRadians(radians, size));
 
     /// <summary>
     /// Prepends a rotation matrix using the given rotation in degrees at the given origin.
@@ -65,7 +68,9 @@ public class AffineTransformBuilder
     /// <param name="radians">The amount of rotation, in radians.</param>
     /// <returns>The <see cref="AffineTransformBuilder"/>.</returns>
     public AffineTransformBuilder AppendRotationRadians(float radians)
-        => this.Append(size => TransformUtils.CreateRotationMatrixRadians(radians, size));
+        => this.Append(
+            size => TransformUtils.CreateRotationTransformMatrixRadians(radians, size),
+            size => TransformUtils.CreateRotationBoundsMatrixRadians(radians, size));
 
     /// <summary>
     /// Appends a rotation matrix using the given rotation in degrees at the given origin.
@@ -140,7 +145,9 @@ public class AffineTransformBuilder
     /// <param name="degreesY">The Y angle, in degrees.</param>
     /// <returns>The <see cref="AffineTransformBuilder"/>.</returns>
     public AffineTransformBuilder PrependSkewDegrees(float degreesX, float degreesY)
-        => this.Prepend(size => TransformUtils.CreateSkewMatrixDegrees(degreesX, degreesY, size));
+        => this.Prepend(
+            size => TransformUtils.CreateSkewTransformMatrixDegrees(degreesX, degreesY, size),
+            size => TransformUtils.CreateSkewBoundsMatrixDegrees(degreesX, degreesY, size));
 
     /// <summary>
     /// Prepends a centered skew matrix from the give angles in radians.
@@ -149,7 +156,9 @@ public class AffineTransformBuilder
     /// <param name="radiansY">The Y angle, in radians.</param>
     /// <returns>The <see cref="AffineTransformBuilder"/>.</returns>
     public AffineTransformBuilder PrependSkewRadians(float radiansX, float radiansY)
-        => this.Prepend(size => TransformUtils.CreateSkewMatrixRadians(radiansX, radiansY, size));
+        => this.Prepend(
+            size => TransformUtils.CreateSkewTransformMatrixRadians(radiansX, radiansY, size),
+            size => TransformUtils.CreateSkewBoundsMatrixRadians(radiansX, radiansY, size));
 
     /// <summary>
     /// Prepends a skew matrix using the given angles in degrees at the given origin.
@@ -178,7 +187,9 @@ public class AffineTransformBuilder
     /// <param name="degreesY">The Y angle, in degrees.</param>
     /// <returns>The <see cref="AffineTransformBuilder"/>.</returns>
     public AffineTransformBuilder AppendSkewDegrees(float degreesX, float degreesY)
-        => this.Append(size => TransformUtils.CreateSkewMatrixDegrees(degreesX, degreesY, size));
+        => this.Append(
+            size => TransformUtils.CreateSkewTransformMatrixDegrees(degreesX, degreesY, size),
+            size => TransformUtils.CreateSkewBoundsMatrixDegrees(degreesX, degreesY, size));
 
     /// <summary>
     /// Appends a centered skew matrix from the give angles in radians.
@@ -187,7 +198,9 @@ public class AffineTransformBuilder
     /// <param name="radiansY">The Y angle, in radians.</param>
     /// <returns>The <see cref="AffineTransformBuilder"/>.</returns>
     public AffineTransformBuilder AppendSkewRadians(float radiansX, float radiansY)
-        => this.Append(size => TransformUtils.CreateSkewMatrixRadians(radiansX, radiansY, size));
+        => this.Append(
+            size => TransformUtils.CreateSkewTransformMatrixRadians(radiansX, radiansY, size),
+            size => TransformUtils.CreateSkewBoundsMatrixRadians(radiansX, radiansY, size));
 
     /// <summary>
     /// Appends a skew matrix using the given angles in degrees at the given origin.
@@ -254,7 +267,7 @@ public class AffineTransformBuilder
     public AffineTransformBuilder PrependMatrix(Matrix3x2 matrix)
     {
         CheckDegenerate(matrix);
-        return this.Prepend(_ => matrix);
+        return this.Prepend(_ => matrix, _ => matrix);
     }
 
     /// <summary>
@@ -270,7 +283,7 @@ public class AffineTransformBuilder
     public AffineTransformBuilder AppendMatrix(Matrix3x2 matrix)
     {
         CheckDegenerate(matrix);
-        return this.Append(_ => matrix);
+        return this.Append(_ => matrix, _ => matrix);
     }
 
     /// <summary>
@@ -281,7 +294,7 @@ public class AffineTransformBuilder
     public Matrix3x2 BuildMatrix(Size sourceSize) => this.BuildMatrix(new Rectangle(Point.Empty, sourceSize));
 
     /// <summary>
-    /// Returns the combined matrix for a given source rectangle.
+    /// Returns the combined transform matrix for a given source rectangle.
     /// </summary>
     /// <param name="sourceRectangle">The rectangle in the source image.</param>
     /// <exception cref="DegenerateTransformException">
@@ -296,11 +309,11 @@ public class AffineTransformBuilder
         Guard.MustBeGreaterThan(sourceRectangle.Height, 0, nameof(sourceRectangle));
 
         // Translate the origin matrix to cater for source rectangle offsets.
-        var matrix = Matrix3x2.CreateTranslation(-sourceRectangle.Location);
+        Matrix3x2 matrix = Matrix3x2.CreateTranslation(-sourceRectangle.Location);
 
         Size size = sourceRectangle.Size;
 
-        foreach (Func<Size, Matrix3x2> factory in this.matrixFactories)
+        foreach (Func<Size, Matrix3x2> factory in this.transformMatrixFactories)
         {
             matrix *= factory(size);
         }
@@ -310,6 +323,32 @@ public class AffineTransformBuilder
         return matrix;
     }
 
+    /// <summary>
+    /// Returns the size of a rectangle large enough to contain the transformed source rectangle.
+    /// </summary>
+    /// <param name="sourceRectangle">The rectangle in the source image.</param>
+    /// <exception cref="DegenerateTransformException">
+    /// The resultant matrix is degenerate containing one or more values equivalent
+    /// to <see cref="float.NaN"/> or a zero determinant and therefore cannot be used
+    /// for linear transforms.
+    /// </exception>
+    /// <returns>The <see cref="Size"/>.</returns>
+    public Size GetTransformedSize(Rectangle sourceRectangle)
+    {
+        Size size = sourceRectangle.Size;
+
+        // Translate the origin matrix to cater for source rectangle offsets.
+        Matrix3x2 matrix = Matrix3x2.CreateTranslation(-sourceRectangle.Location);
+
+        foreach (Func<Size, Matrix3x2> factory in this.boundsMatrixFactories)
+        {
+            matrix *= factory(size);
+            CheckDegenerate(matrix);
+        }
+
+        return TransformUtils.GetTransformedSize(size, matrix);
+    }
+
     private static void CheckDegenerate(Matrix3x2 matrix)
     {
         if (TransformUtils.IsDegenerate(matrix))
@@ -318,15 +357,17 @@ public class AffineTransformBuilder
         }
     }
 
-    private AffineTransformBuilder Prepend(Func<Size, Matrix3x2> factory)
+    private AffineTransformBuilder Prepend(Func<Size, Matrix3x2> transformFactory, Func<Size, Matrix3x2> boundsFactory)
     {
-        this.matrixFactories.Insert(0, factory);
+        this.transformMatrixFactories.Insert(0, transformFactory);
+        this.boundsMatrixFactories.Insert(0, boundsFactory);
         return this;
     }
 
-    private AffineTransformBuilder Append(Func<Size, Matrix3x2> factory)
+    private AffineTransformBuilder Append(Func<Size, Matrix3x2> transformFactory, Func<Size, Matrix3x2> boundsFactory)
     {
-        this.matrixFactories.Add(factory);
+        this.transformMatrixFactories.Add(transformFactory);
+        this.boundsMatrixFactories.Add(boundsFactory);
         return this;
     }
 }

src/ImageSharp/Processing/Extensions/Transforms/TransformExtensions.cs

@@ -51,7 +51,7 @@ public static class TransformExtensions
         IResampler sampler)
     {
         Matrix3x2 transform = builder.BuildMatrix(sourceRectangle);
-        Size targetDimensions = TransformUtils.GetTransformedSize(sourceRectangle.Size, transform);
+        Size targetDimensions = builder.GetTransformedSize(sourceRectangle);
         return source.Transform(sourceRectangle, transform, targetDimensions, sampler);
     }
 
@@ -113,7 +113,7 @@ public static class TransformExtensions
         IResampler sampler)
     {
         Matrix4x4 transform = builder.BuildMatrix(sourceRectangle);
-        Size targetDimensions = TransformUtils.GetTransformedSize(sourceRectangle.Size, transform);
+        Size targetDimensions = builder.GetTransformedSize(sourceRectangle);
         return source.Transform(sourceRectangle, transform, targetDimensions, sampler);
     }
 

src/ImageSharp/Processing/Processors/Transforms/Linear/LinearTransformUtility.cs

@@ -38,8 +38,8 @@ internal static class LinearTransformUtility
     /// </summary>
     /// <param name="radius">The radius.</param>
     /// <param name="center">The center position.</param>
-    /// <param name="min">The min allowed amouunt.</param>
-    /// <param name="max">The max allowed amouunt.</param>
+    /// <param name="min">The min allowed amount.</param>
+    /// <param name="max">The max allowed amount.</param>
     /// <returns>The <see cref="int"/>.</returns>
     [MethodImpl(InliningOptions.ShortMethod)]
     public static int GetRangeStart(float radius, float center, int min, int max)
@@ -51,8 +51,8 @@ internal static class LinearTransformUtility
     /// </summary>
     /// <param name="radius">The radius.</param>
     /// <param name="center">The center position.</param>
-    /// <param name="min">The min allowed amouunt.</param>
-    /// <param name="max">The max allowed amouunt.</param>
+    /// <param name="min">The min allowed amount.</param>
+    /// <param name="max">The max allowed amount.</param>
     /// <returns>The <see cref="int"/>.</returns>
     [MethodImpl(InliningOptions.ShortMethod)]
     public static int GetRangeEnd(float radius, float center, int min, int max)

src/ImageSharp/Processing/Processors/Transforms/Linear/RotateProcessor.cs

@@ -28,14 +28,15 @@ public sealed class RotateProcessor : AffineTransformProcessor
     /// <param name="sourceSize">The source image size</param>
     public RotateProcessor(float degrees, IResampler sampler, Size sourceSize)
         : this(
-            TransformUtils.CreateRotationMatrixDegrees(degrees, sourceSize),
+            TransformUtils.CreateRotationTransformMatrixDegrees(degrees, sourceSize),
+            TransformUtils.CreateRotationBoundsMatrixDegrees(degrees, sourceSize),
             sampler,
             sourceSize)
         => this.Degrees = degrees;
 
     // Helper constructor
-    private RotateProcessor(Matrix3x2 rotationMatrix, IResampler sampler, Size sourceSize)
-        : base(rotationMatrix, sampler, TransformUtils.GetTransformedSize(sourceSize, rotationMatrix))
+    private RotateProcessor(Matrix3x2 rotationMatrix, Matrix3x2 boundsMatrix, IResampler sampler, Size sourceSize)
+        : base(rotationMatrix, sampler, TransformUtils.GetTransformedSize(sourceSize, boundsMatrix))
     {
     }
 

src/ImageSharp/Processing/Processors/Transforms/Linear/SkewProcessor.cs

@@ -30,7 +30,8 @@ public sealed class SkewProcessor : AffineTransformProcessor
     /// <param name="sourceSize">The source image size</param>
     public SkewProcessor(float degreesX, float degreesY, IResampler sampler, Size sourceSize)
         : this(
-             TransformUtils.CreateSkewMatrixDegrees(degreesX, degreesY, sourceSize),
+             TransformUtils.CreateSkewTransformMatrixDegrees(degreesX, degreesY, sourceSize),
+             TransformUtils.CreateSkewBoundsMatrixDegrees(degreesX, degreesY, sourceSize),
              sampler,
              sourceSize)
     {
@@ -39,8 +40,8 @@ public sealed class SkewProcessor : AffineTransformProcessor
     }
 
     // Helper constructor:
-    private SkewProcessor(Matrix3x2 skewMatrix, IResampler sampler, Size sourceSize)
-        : base(skewMatrix, sampler, TransformUtils.GetTransformedSize(sourceSize, skewMatrix))
+    private SkewProcessor(Matrix3x2 skewMatrix, Matrix3x2 boundsMatrix, IResampler sampler, Size sourceSize)
+        : base(skewMatrix, sampler, TransformUtils.GetTransformedSize(sourceSize, boundsMatrix))
     {
     }
 

src/ImageSharp/Processing/Processors/Transforms/TransformUtils.cs

@@ -29,7 +29,7 @@ internal static class TransformUtils
     public static bool IsDegenerate(Matrix4x4 matrix)
         => IsNaN(matrix) || IsZero(matrix.GetDeterminant());
 
-    [MethodImpl(InliningOptions.ShortMethod)]
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
     private static bool IsZero(float a)
         => a > -Constants.EpsilonSquared && a < Constants.EpsilonSquared;
 
@@ -39,13 +39,11 @@ internal static class TransformUtils
     /// </summary>
     /// <param name="matrix">The transform matrix.</param>
     /// <returns>The <see cref="bool"/>.</returns>
-    [MethodImpl(InliningOptions.ShortMethod)]
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
     public static bool IsNaN(Matrix3x2 matrix)
-    {
-        return float.IsNaN(matrix.M11) || float.IsNaN(matrix.M12)
-            || float.IsNaN(matrix.M21) || float.IsNaN(matrix.M22)
-            || float.IsNaN(matrix.M31) || float.IsNaN(matrix.M32);
-    }
+        => float.IsNaN(matrix.M11) || float.IsNaN(matrix.M12)
+        || float.IsNaN(matrix.M21) || float.IsNaN(matrix.M22)
+        || float.IsNaN(matrix.M31) || float.IsNaN(matrix.M32);
 
     /// <summary>
     /// Returns a value that indicates whether the specified matrix contains any values
@@ -53,14 +51,12 @@ internal static class TransformUtils
     /// </summary>
     /// <param name="matrix">The transform matrix.</param>
     /// <returns>The <see cref="bool"/>.</returns>
-    [MethodImpl(InliningOptions.ShortMethod)]
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
     public static bool IsNaN(Matrix4x4 matrix)
-    {
-        return float.IsNaN(matrix.M11) || float.IsNaN(matrix.M12) || float.IsNaN(matrix.M13) || float.IsNaN(matrix.M14)
-            || float.IsNaN(matrix.M21) || float.IsNaN(matrix.M22) || float.IsNaN(matrix.M23) || float.IsNaN(matrix.M24)
-            || float.IsNaN(matrix.M31) || float.IsNaN(matrix.M32) || float.IsNaN(matrix.M33) || float.IsNaN(matrix.M34)
-            || float.IsNaN(matrix.M41) || float.IsNaN(matrix.M42) || float.IsNaN(matrix.M43) || float.IsNaN(matrix.M44);
-    }
+        => float.IsNaN(matrix.M11) || float.IsNaN(matrix.M12) || float.IsNaN(matrix.M13) || float.IsNaN(matrix.M14)
+        || float.IsNaN(matrix.M21) || float.IsNaN(matrix.M22) || float.IsNaN(matrix.M23) || float.IsNaN(matrix.M24)
+        || float.IsNaN(matrix.M31) || float.IsNaN(matrix.M32) || float.IsNaN(matrix.M33) || float.IsNaN(matrix.M34)
+        || float.IsNaN(matrix.M41) || float.IsNaN(matrix.M42) || float.IsNaN(matrix.M43) || float.IsNaN(matrix.M44);
 
     /// <summary>
     /// Applies the projective transform against the given coordinates flattened into the 2D space.
@@ -69,71 +65,121 @@ internal static class TransformUtils
     /// <param name="y">The "y" vector coordinate.</param>
     /// <param name="matrix">The transform matrix.</param>
     /// <returns>The <see cref="Vector2"/>.</returns>
-    [MethodImpl(InliningOptions.ShortMethod)]
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
     public static Vector2 ProjectiveTransform2D(float x, float y, Matrix4x4 matrix)
     {
-        const float Epsilon = 0.0000001F;
-        var v4 = Vector4.Transform(new Vector4(x, y, 0, 1F), matrix);
-        return new Vector2(v4.X, v4.Y) / MathF.Max(v4.W, Epsilon);
+        const float epsilon = 0.0000001F;
+        Vector4 v4 = Vector4.Transform(new Vector4(x, y, 0, 1F), matrix);
+        return new Vector2(v4.X, v4.Y) / MathF.Max(v4.W, epsilon);
     }
 
     /// <summary>
-    /// Creates a centered rotation matrix using the given rotation in degrees and the source size.
+    /// Creates a centered rotation transform matrix using the given rotation in degrees and the source size.
     /// </summary>
     /// <param name="degrees">The amount of rotation, in degrees.</param>
     /// <param name="size">The source image size.</param>
     /// <returns>The <see cref="Matrix3x2"/>.</returns>
-    [MethodImpl(InliningOptions.ShortMethod)]
-    public static Matrix3x2 CreateRotationMatrixDegrees(float degrees, Size size)
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
+    public static Matrix3x2 CreateRotationTransformMatrixDegrees(float degrees, Size size)
         => CreateCenteredTransformMatrix(
             new Rectangle(Point.Empty, size),
             Matrix3x2Extensions.CreateRotationDegrees(degrees, PointF.Empty));
 
     /// <summary>
-    /// Creates a centered rotation matrix using the given rotation in radians and the source size.
+    /// Creates a centered rotation transform matrix using the given rotation in radians and the source size.
     /// </summary>
     /// <param name="radians">The amount of rotation, in radians.</param>
     /// <param name="size">The source image size.</param>
     /// <returns>The <see cref="Matrix3x2"/>.</returns>
-    [MethodImpl(InliningOptions.ShortMethod)]
-    public static Matrix3x2 CreateRotationMatrixRadians(float radians, Size size)
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
+    public static Matrix3x2 CreateRotationTransformMatrixRadians(float radians, Size size)
         => CreateCenteredTransformMatrix(
             new Rectangle(Point.Empty, size),
             Matrix3x2Extensions.CreateRotation(radians, PointF.Empty));
 
     /// <summary>
-    /// Creates a centered skew matrix from the give angles in degrees and the source size.
+    /// Creates a centered rotation bounds matrix using the given rotation in degrees and the source size.
+    /// </summary>
+    /// <param name="degrees">The amount of rotation, in degrees.</param>
+    /// <param name="size">The source image size.</param>
+    /// <returns>The <see cref="Matrix3x2"/>.</returns>
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
+    public static Matrix3x2 CreateRotationBoundsMatrixDegrees(float degrees, Size size)
+        => CreateCenteredBoundsMatrix(
+            new Rectangle(Point.Empty, size),
+            Matrix3x2Extensions.CreateRotationDegrees(degrees, PointF.Empty));
+
+    /// <summary>
+    /// Creates a centered rotation bounds matrix using the given rotation in radians and the source size.
+    /// </summary>
+    /// <param name="radians">The amount of rotation, in radians.</param>
+    /// <param name="size">The source image size.</param>
+    /// <returns>The <see cref="Matrix3x2"/>.</returns>
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
+    public static Matrix3x2 CreateRotationBoundsMatrixRadians(float radians, Size size)
+        => CreateCenteredBoundsMatrix(
+            new Rectangle(Point.Empty, size),
+            Matrix3x2Extensions.CreateRotation(radians, PointF.Empty));
+
+    /// <summary>
+    /// Creates a centered skew transform matrix from the give angles in degrees and the source size.
     /// </summary>
     /// <param name="degreesX">The X angle, in degrees.</param>
     /// <param name="degreesY">The Y angle, in degrees.</param>
     /// <param name="size">The source image size.</param>
     /// <returns>The <see cref="Matrix3x2"/>.</returns>
-    [MethodImpl(InliningOptions.ShortMethod)]
-    public static Matrix3x2 CreateSkewMatrixDegrees(float degreesX, float degreesY, Size size)
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
+    public static Matrix3x2 CreateSkewTransformMatrixDegrees(float degreesX, float degreesY, Size size)
         => CreateCenteredTransformMatrix(
             new Rectangle(Point.Empty, size),
             Matrix3x2Extensions.CreateSkewDegrees(degreesX, degreesY, PointF.Empty));
 
     /// <summary>
-    /// Creates a centered skew matrix from the give angles in radians and the source size.
+    /// Creates a centered skew transform matrix from the give angles in radians and the source size.
     /// </summary>
     /// <param name="radiansX">The X angle, in radians.</param>
     /// <param name="radiansY">The Y angle, in radians.</param>
     /// <param name="size">The source image size.</param>
     /// <returns>The <see cref="Matrix3x2"/>.</returns>
-    [MethodImpl(InliningOptions.ShortMethod)]
-    public static Matrix3x2 CreateSkewMatrixRadians(float radiansX, float radiansY, Size size)
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
+    public static Matrix3x2 CreateSkewTransformMatrixRadians(float radiansX, float radiansY, Size size)
         => CreateCenteredTransformMatrix(
             new Rectangle(Point.Empty, size),
             Matrix3x2Extensions.CreateSkew(radiansX, radiansY, PointF.Empty));
 
     /// <summary>
-    /// Gets the centered transform matrix based upon the source and destination rectangles.
+    /// Creates a centered skew bounds matrix from the give angles in degrees and the source size.
+    /// </summary>
+    /// <param name="degreesX">The X angle, in degrees.</param>
+    /// <param name="degreesY">The Y angle, in degrees.</param>
+    /// <param name="size">The source image size.</param>
+    /// <returns>The <see cref="Matrix3x2"/>.</returns>
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
+    public static Matrix3x2 CreateSkewBoundsMatrixDegrees(float degreesX, float degreesY, Size size)
+        => CreateCenteredBoundsMatrix(
+            new Rectangle(Point.Empty, size),
+            Matrix3x2Extensions.CreateSkewDegrees(degreesX, degreesY, PointF.Empty));
+
+    /// <summary>
+    /// Creates a centered skew bounds matrix from the give angles in radians and the source size.
+    /// </summary>
+    /// <param name="radiansX">The X angle, in radians.</param>
+    /// <param name="radiansY">The Y angle, in radians.</param>
+    /// <param name="size">The source image size.</param>
+    /// <returns>The <see cref="Matrix3x2"/>.</returns>
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
+    public static Matrix3x2 CreateSkewBoundsMatrixRadians(float radiansX, float radiansY, Size size)
+        => CreateCenteredBoundsMatrix(
+            new Rectangle(Point.Empty, size),
+            Matrix3x2Extensions.CreateSkew(radiansX, radiansY, PointF.Empty));
+
+    /// <summary>
+    /// Gets the centered transform matrix based upon the source rectangle.
     /// </summary>
     /// <param name="sourceRectangle">The source image bounds.</param>
     /// <param name="matrix">The transformation matrix.</param>
     /// <returns>The <see cref="Matrix3x2"/></returns>
-    [MethodImpl(InliningOptions.ShortMethod)]
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
     public static Matrix3x2 CreateCenteredTransformMatrix(Rectangle sourceRectangle, Matrix3x2 matrix)
     {
         Rectangle destinationRectangle = GetTransformedBoundingRectangle(sourceRectangle, matrix);
@@ -142,8 +188,33 @@ internal static class TransformUtils
         // This ensures scaling matrices are correct.
         Matrix3x2.Invert(matrix, out Matrix3x2 inverted);
 
-        var translationToTargetCenter = Matrix3x2.CreateTranslation(new Vector2(-destinationRectangle.Width, -destinationRectangle.Height) * .5F);
-        var translateToSourceCenter = Matrix3x2.CreateTranslation(new Vector2(sourceRectangle.Width, sourceRectangle.Height) * .5F);
+        // Centered transforms must be 0 based so we offset the bounds width and height.
+        Matrix3x2 translationToTargetCenter = Matrix3x2.CreateTranslation(new Vector2(-(destinationRectangle.Width - 1), -(destinationRectangle.Height - 1)) * .5F);
+        Matrix3x2 translateToSourceCenter = Matrix3x2.CreateTranslation(new Vector2(sourceRectangle.Width - 1, sourceRectangle.Height - 1) * .5F);
+
+        // Translate back to world space.
+        Matrix3x2.Invert(translationToTargetCenter * inverted * translateToSourceCenter, out Matrix3x2 centered);
+
+        return centered;
+    }
+
+    /// <summary>
+    /// Gets the centered bounds matrix based upon the source rectangle.
+    /// </summary>
+    /// <param name="sourceRectangle">The source image bounds.</param>
+    /// <param name="matrix">The transformation matrix.</param>
+    /// <returns>The <see cref="Matrix3x2"/></returns>
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
+    public static Matrix3x2 CreateCenteredBoundsMatrix(Rectangle sourceRectangle, Matrix3x2 matrix)
+    {
+        Rectangle destinationRectangle = GetTransformedBoundingRectangle(sourceRectangle, matrix);
+
+        // We invert the matrix to handle the transformation from screen to world space.
+        // This ensures scaling matrices are correct.
+        Matrix3x2.Invert(matrix, out Matrix3x2 inverted);
+
+        Matrix3x2 translationToTargetCenter = Matrix3x2.CreateTranslation(new Vector2(-destinationRectangle.Width, -destinationRectangle.Height) * .5F);
+        Matrix3x2 translateToSourceCenter = Matrix3x2.CreateTranslation(new Vector2(sourceRectangle.Width, sourceRectangle.Height) * .5F);
 
         // Translate back to world space.
         Matrix3x2.Invert(translationToTargetCenter * inverted * translateToSourceCenter, out Matrix3x2 centered);
@@ -160,7 +231,7 @@ internal static class TransformUtils
     /// <param name="corner">An enumeration that indicates on which corners to taper the rectangle.</param>
     /// <param name="fraction">The amount to taper.</param>
     /// <returns>The <see cref="Matrix4x4"/></returns>
-    [MethodImpl(InliningOptions.ShortMethod)]
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
     public static Matrix4x4 CreateTaperMatrix(Size size, TaperSide side, TaperCorner corner, float fraction)
     {
         Matrix4x4 matrix = Matrix4x4.Identity;
@@ -281,7 +352,7 @@ internal static class TransformUtils
     /// <returns>
     /// The <see cref="Rectangle"/>.
     /// </returns>
-    [MethodImpl(InliningOptions.ShortMethod)]
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
     public static Rectangle GetTransformedBoundingRectangle(Rectangle rectangle, Matrix3x2 matrix)
     {
         Rectangle transformed = GetTransformedRectangle(rectangle, matrix);
@@ -303,10 +374,10 @@ internal static class TransformUtils
             return rectangle;
         }
 
-        var tl = Vector2.Transform(new Vector2(rectangle.Left, rectangle.Top), matrix);
-        var tr = Vector2.Transform(new Vector2(rectangle.Right, rectangle.Top), matrix);
-        var bl = Vector2.Transform(new Vector2(rectangle.Left, rectangle.Bottom), matrix);
-        var br = Vector2.Transform(new Vector2(rectangle.Right, rectangle.Bottom), matrix);
+        Vector2 tl = Vector2.Transform(new Vector2(rectangle.Left, rectangle.Top), matrix);
+        Vector2 tr = Vector2.Transform(new Vector2(rectangle.Right, rectangle.Top), matrix);
+        Vector2 bl = Vector2.Transform(new Vector2(rectangle.Left, rectangle.Bottom), matrix);
+        Vector2 br = Vector2.Transform(new Vector2(rectangle.Right, rectangle.Bottom), matrix);
 
         return GetBoundingRectangle(tl, tr, bl, br);
     }
@@ -341,7 +412,7 @@ internal static class TransformUtils
     /// <returns>
     /// The <see cref="Rectangle"/>.
     /// </returns>
-    [MethodImpl(InliningOptions.ShortMethod)]
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
     public static Rectangle GetTransformedRectangle(Rectangle rectangle, Matrix4x4 matrix)
     {
         if (rectangle.Equals(default) || Matrix4x4.Identity.Equals(matrix))
@@ -365,7 +436,7 @@ internal static class TransformUtils
     /// <returns>
     /// The <see cref="Size"/>.
     /// </returns>
-    [MethodImpl(InliningOptions.ShortMethod)]
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
     public static Size GetTransformedSize(Size size, Matrix4x4 matrix)
     {
         Guard.IsTrue(size.Width > 0 && size.Height > 0, nameof(size), "Source size dimensions cannot be 0!");
@@ -380,7 +451,7 @@ internal static class TransformUtils
         return ConstrainSize(rectangle);
     }
 
-    [MethodImpl(InliningOptions.ShortMethod)]
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
     private static Size ConstrainSize(Rectangle rectangle)
     {
         // We want to resize the canvas here taking into account any translations.
@@ -402,7 +473,7 @@ internal static class TransformUtils
         return new Size(width, height);
     }
 
-    [MethodImpl(InliningOptions.ShortMethod)]
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
     private static Rectangle GetBoundingRectangle(Vector2 tl, Vector2 tr, Vector2 bl, Vector2 br)
     {
         // Find the minimum and maximum "corners" based on the given vectors

src/ImageSharp/Processing/ProjectiveTransformBuilder.cs

@@ -11,7 +11,8 @@ namespace SixLabors.ImageSharp.Processing;
 /// </summary>
 public class ProjectiveTransformBuilder
 {
-    private readonly List<Func<Size, Matrix4x4>> matrixFactories = new();
+    private readonly List<Func<Size, Matrix4x4>> transformMatrixFactories = new();
+    private readonly List<Func<Size, Matrix4x4>> boundsMatrixFactories = new();
 
     /// <summary>
     /// Prepends a matrix that performs a tapering projective transform.
@@ -21,7 +22,9 @@ public class ProjectiveTransformBuilder
     /// <param name="fraction">The amount to taper.</param>
     /// <returns>The <see cref="ProjectiveTransformBuilder"/>.</returns>
     public ProjectiveTransformBuilder PrependTaper(TaperSide side, TaperCorner corner, float fraction)
-        => this.Prepend(size => TransformUtils.CreateTaperMatrix(size, side, corner, fraction));
+        => this.Prepend(
+            size => TransformUtils.CreateTaperMatrix(size, side, corner, fraction),
+            size => TransformUtils.CreateTaperMatrix(size, side, corner, fraction));
 
     /// <summary>
     /// Appends a matrix that performs a tapering projective transform.
@@ -31,7 +34,9 @@ public class ProjectiveTransformBuilder
     /// <param name="fraction">The amount to taper.</param>
     /// <returns>The <see cref="ProjectiveTransformBuilder"/>.</returns>
     public ProjectiveTransformBuilder AppendTaper(TaperSide side, TaperCorner corner, float fraction)
-        => this.Append(size => TransformUtils.CreateTaperMatrix(size, side, corner, fraction));
+        => this.Append(
+            size => TransformUtils.CreateTaperMatrix(size, side, corner, fraction),
+            size => TransformUtils.CreateTaperMatrix(size, side, corner, fraction));
 
     /// <summary>
     /// Prepends a centered rotation matrix using the given rotation in degrees.
@@ -47,7 +52,9 @@ public class ProjectiveTransformBuilder
     /// <param name="radians">The amount of rotation, in radians.</param>
     /// <returns>The <see cref="ProjectiveTransformBuilder"/>.</returns>
     public ProjectiveTransformBuilder PrependRotationRadians(float radians)
-        => this.Prepend(size => new Matrix4x4(TransformUtils.CreateRotationMatrixRadians(radians, size)));
+        => this.Prepend(
+            size => new Matrix4x4(TransformUtils.CreateRotationTransformMatrixRadians(radians, size)),
+            size => new Matrix4x4(TransformUtils.CreateRotationBoundsMatrixRadians(radians, size)));
 
     /// <summary>
     /// Prepends a centered rotation matrix using the given rotation in degrees at the given origin.
@@ -81,7 +88,9 @@ public class ProjectiveTransformBuilder
     /// <param name="radians">The amount of rotation, in radians.</param>
     /// <returns>The <see cref="ProjectiveTransformBuilder"/>.</returns>
     public ProjectiveTransformBuilder AppendRotationRadians(float radians)
-        => this.Append(size => new Matrix4x4(TransformUtils.CreateRotationMatrixRadians(radians, size)));
+        => this.Append(
+            size => new Matrix4x4(TransformUtils.CreateRotationTransformMatrixRadians(radians, size)),
+            size => new Matrix4x4(TransformUtils.CreateRotationBoundsMatrixRadians(radians, size)));
 
     /// <summary>
     /// Appends a centered rotation matrix using the given rotation in degrees at the given origin.
@@ -165,7 +174,9 @@ public class ProjectiveTransformBuilder
     /// <param name="radiansY">The Y angle, in radians.</param>
     /// <returns>The <see cref="ProjectiveTransformBuilder"/>.</returns>
     public ProjectiveTransformBuilder PrependSkewRadians(float radiansX, float radiansY)
-        => this.Prepend(size => new Matrix4x4(TransformUtils.CreateSkewMatrixRadians(radiansX, radiansY, size)));
+        => this.Prepend(
+            size => new Matrix4x4(TransformUtils.CreateSkewTransformMatrixRadians(radiansX, radiansY, size)),
+            size => new Matrix4x4(TransformUtils.CreateSkewBoundsMatrixRadians(radiansX, radiansY, size)));
 
     /// <summary>
     /// Prepends a skew matrix using the given angles in degrees at the given origin.
@@ -203,7 +214,9 @@ public class ProjectiveTransformBuilder
     /// <param name="radiansY">The Y angle, in radians.</param>
     /// <returns>The <see cref="ProjectiveTransformBuilder"/>.</returns>
     public ProjectiveTransformBuilder AppendSkewRadians(float radiansX, float radiansY)
-        => this.Append(size => new Matrix4x4(TransformUtils.CreateSkewMatrixRadians(radiansX, radiansY, size)));
+        => this.Append(
+            size => new Matrix4x4(TransformUtils.CreateSkewTransformMatrixRadians(radiansX, radiansY, size)),
+            size => new Matrix4x4(TransformUtils.CreateSkewBoundsMatrixRadians(radiansX, radiansY, size)));
 
     /// <summary>
     /// Appends a skew matrix using the given angles in degrees at the given origin.
@@ -270,7 +283,7 @@ public class ProjectiveTransformBuilder
     public ProjectiveTransformBuilder PrependMatrix(Matrix4x4 matrix)
     {
         CheckDegenerate(matrix);
-        return this.Prepend(_ => matrix);
+        return this.Prepend(_ => matrix, _ => matrix);
     }
 
     /// <summary>
@@ -286,7 +299,7 @@ public class ProjectiveTransformBuilder
     public ProjectiveTransformBuilder AppendMatrix(Matrix4x4 matrix)
     {
         CheckDegenerate(matrix);
-        return this.Append(_ => matrix);
+        return this.Append(_ => matrix, _ => matrix);
     }
 
     /// <summary>
@@ -317,7 +330,7 @@ public class ProjectiveTransformBuilder
 
         Size size = sourceRectangle.Size;
 
-        foreach (Func<Size, Matrix4x4> factory in this.matrixFactories)
+        foreach (Func<Size, Matrix4x4> factory in this.transformMatrixFactories)
         {
             matrix *= factory(size);
         }
@@ -327,6 +340,32 @@ public class ProjectiveTransformBuilder
         return matrix;
     }
 
+    /// <summary>
+    /// Returns the size of a rectangle large enough to contain the transformed source rectangle.
+    /// </summary>
+    /// <param name="sourceRectangle">The rectangle in the source image.</param>
+    /// <exception cref="DegenerateTransformException">
+    /// The resultant matrix is degenerate containing one or more values equivalent
+    /// to <see cref="float.NaN"/> or a zero determinant and therefore cannot be used
+    /// for linear transforms.
+    /// </exception>
+    /// <returns>The <see cref="Size"/>.</returns>
+    public Size GetTransformedSize(Rectangle sourceRectangle)
+    {
+        Size size = sourceRectangle.Size;
+
+        // Translate the origin matrix to cater for source rectangle offsets.
+        Matrix4x4 matrix = Matrix4x4.CreateTranslation(new Vector3(-sourceRectangle.Location, 0));
+
+        foreach (Func<Size, Matrix4x4> factory in this.boundsMatrixFactories)
+        {
+            matrix *= factory(size);
+            CheckDegenerate(matrix);
+        }
+
+        return TransformUtils.GetTransformedSize(size, matrix);
+    }
+
     private static void CheckDegenerate(Matrix4x4 matrix)
     {
         if (TransformUtils.IsDegenerate(matrix))
@@ -335,15 +374,17 @@ public class ProjectiveTransformBuilder
         }
     }
 
-    private ProjectiveTransformBuilder Prepend(Func<Size, Matrix4x4> factory)
+    private ProjectiveTransformBuilder Prepend(Func<Size, Matrix4x4> transformFactory, Func<Size, Matrix4x4> boundsFactory)
     {
-        this.matrixFactories.Insert(0, factory);
+        this.transformMatrixFactories.Insert(0, transformFactory);
+        this.boundsMatrixFactories.Insert(0, boundsFactory);
         return this;
     }
 
-    private ProjectiveTransformBuilder Append(Func<Size, Matrix4x4> factory)
+    private ProjectiveTransformBuilder Append(Func<Size, Matrix4x4> transformFactory, Func<Size, Matrix4x4> boundsFactory)
     {
-        this.matrixFactories.Add(factory);
+        this.transformMatrixFactories.Add(transformFactory);
+        this.boundsMatrixFactories.Add(boundsFactory);
         return this;
     }
 }

tests/ImageSharp.Tests/Processing/Processors/Transforms/AffineTransformTests.cs

@@ -249,6 +249,35 @@ public class AffineTransformTests
         image.CompareToReferenceOutput(ValidatorComparer, provider, testOutputDetails: radians);
     }
 
+    [Fact]
+    public void TransformRotationDoesNotOffset()
+    {
+        Rgba32 background = Color.DimGray.ToPixel<Rgba32>();
+        Rgba32 marker = Color.Aqua.ToPixel<Rgba32>();
+
+        using Image<Rgba32> img = new(100, 100, background);
+        img[0, 0] = marker;
+
+        img.Mutate(c => c.Rotate(180));
+
+        Assert.Equal(marker, img[99, 99]);
+
+        using Image<Rgba32> img2 = new(100, 100, background);
+        img2[0, 0] = marker;
+
+        img2.Mutate(
+            c =>
+            c.Transform(new AffineTransformBuilder().AppendRotationDegrees(180), KnownResamplers.NearestNeighbor));
+
+        using Image<Rgba32> img3 = new(100, 100, background);
+        img3[0, 0] = marker;
+
+        img3.Mutate(c => c.Transform(new AffineTransformBuilder().AppendRotationDegrees(180)));
+
+        ImageComparer.Exact.VerifySimilarity(img, img2);
+        ImageComparer.Exact.VerifySimilarity(img, img3);
+    }
+
     private static IResampler GetResampler(string name)
     {
         PropertyInfo property = typeof(KnownResamplers).GetTypeInfo().GetProperty(name)

tests/ImageSharp.Tests/Processing/Transforms/ProjectiveTransformTests.cs

@@ -185,6 +185,35 @@ public class ProjectiveTransformTests
         image.CompareToReferenceOutput(ValidatorComparer, provider, testOutputDetails: radians);
     }
 
+    [Fact]
+    public void TransformRotationDoesNotOffset()
+    {
+        Rgba32 background = Color.DimGray.ToPixel<Rgba32>();
+        Rgba32 marker = Color.Aqua.ToPixel<Rgba32>();
+
+        using Image<Rgba32> img = new(100, 100, background);
+        img[0, 0] = marker;
+
+        img.Mutate(c => c.Rotate(180));
+
+        Assert.Equal(marker, img[99, 99]);
+
+        using Image<Rgba32> img2 = new(100, 100, background);
+        img2[0, 0] = marker;
+
+        img2.Mutate(
+            c =>
+            c.Transform(new ProjectiveTransformBuilder().AppendRotationDegrees(180), KnownResamplers.NearestNeighbor));
+
+        using Image<Rgba32> img3 = new(100, 100, background);
+        img3[0, 0] = marker;
+
+        img3.Mutate(c => c.Transform(new AffineTransformBuilder().AppendRotationDegrees(180)));
+
+        ImageComparer.Exact.VerifySimilarity(img, img2);
+        ImageComparer.Exact.VerifySimilarity(img, img3);
+    }
+
     private static IResampler GetResampler(string name)
     {
         PropertyInfo property = typeof(KnownResamplers).GetTypeInfo().GetProperty(name);

tests/ImageSharp.Tests/Processing/Transforms/TransformBuilderTestBase.cs

@@ -97,7 +97,7 @@ public abstract class TransformBuilderTestBase<TBuilder>
         this.AppendRotationDegrees(builder, degrees);
 
         // TODO: We should also test CreateRotationMatrixDegrees() (and all TransformUtils stuff!) for correctness
-        Matrix3x2 matrix = TransformUtils.CreateRotationMatrixDegrees(degrees, size);
+        Matrix3x2 matrix = TransformUtils.CreateRotationTransformMatrixDegrees(degrees, size);
 
         var position = new Vector2(x, y);
         var expected = Vector2.Transform(position, matrix);
@@ -151,7 +151,7 @@ public abstract class TransformBuilderTestBase<TBuilder>
 
         this.AppendSkewDegrees(builder, degreesX, degreesY);
 
-        Matrix3x2 matrix = TransformUtils.CreateSkewMatrixDegrees(degreesX, degreesY, size);
+        Matrix3x2 matrix = TransformUtils.CreateSkewTransformMatrixDegrees(degreesX, degreesY, size);
 
         var position = new Vector2(x, y);
         var expected = Vector2.Transform(position, matrix);

tests/Images/External/ReferenceOutput/AffineTransformTests/Transform_RotateScaleTranslate_Rgba32_TestPattern100x50_R(0)_S(1,1)_T(-20,-10).png

@@ -1,3 +1,3 @@
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tests/Images/External/ReferenceOutput/AffineTransformTests/Transform_RotateScaleTranslate_Rgba32_TestPattern100x50_R(0)_S(1,1)_T(0,0).png

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+size 892

tests/Images/External/ReferenceOutput/AffineTransformTests/Transform_RotateScaleTranslate_Rgba32_TestPattern100x50_R(0)_S(1,2)_T(0,0).png

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tests/Images/External/ReferenceOutput/AffineTransformTests/Transform_RotateScaleTranslate_Rgba32_TestPattern100x50_R(0)_S(2,1)_T(0,0).png

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tests/Images/External/ReferenceOutput/AffineTransformTests/Transform_RotateScaleTranslate_Rgba32_TestPattern100x50_R(50)_S(1,1)_T(-20,-10).png

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+size 10103

tests/Images/External/ReferenceOutput/AffineTransformTests/Transform_RotateScaleTranslate_Rgba32_TestPattern100x50_R(50)_S(1,1)_T(20,10).png

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tests/Images/External/ReferenceOutput/AffineTransformTests/Transform_RotateScaleTranslate_Rgba32_TestPattern100x50_R(50)_S(1.1,1.3)_T(30,-20).png

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tests/Images/External/ReferenceOutput/AffineTransformTests/Transform_RotateScaleTranslate_Rgba32_TestPattern100x50_R(50)_S(1.5,1.5)_T(0,0).png

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