我的线性代数很弱。WPF 是一个很棒的系统，用于在图像上呈现不同的转换。但是，标准 ScaleTransform 只会沿 xy 轴缩放图像。当边缘第一次旋转时，应用 ScaleTransform 的结果将导致倾斜变换（如下所示），因为边缘不再对齐。
因此，如果我的图像经过了几次不同的变换，结果由 WPF 渲染系统显示，我如何计算正确的矩阵变换以获取（最终旋转的图像）并沿渲染图像的轴缩放?
任何帮助或建议将不胜感激。
TIA
（完整代码请看我之前的问题。）
编辑＃1：要查看上述效果：
- 将图像拖放到 Inkcavas 上。- 没有看到歪斜。
- 逆时针旋转图像（大约 45 度）——看不到歪斜。
- 使图像更大（大约是其预缩放尺寸的两倍——看不到歪斜。
- 顺时针旋转图像（大约回到它开始的位置）——在旋转期间和之后立即看到倾斜。
如果跳过第 3 步，简单的旋转——无论完成多少次——都不会导致倾斜效果。其实，这是有道理的。ScaleTransform 保留从中心到图像边缘的距离。如果图像处于某个角度，则与变换边缘的 xy 距离在渲染图像的宽度和长度上不再是恒定的。所以边缘得到适当的缩放，但角度发生了变化。
这是最相关的代码：
private ImageResizing(Image image)
{
if (image == null)
throw new ArgumentNullException("image");
_image = image;
TransformGroup tg = new TransformGroup();
image.RenderTransformOrigin = new Point(0.5, 0.5); // All transforms will be based on the center of the rendered element.
tg.Children.Add(image.RenderTransform); // Keeps whatever transforms have already been applied.
image.RenderTransform = tg;
_adorner = new MyImageAdorner(image); // Create the adorner.
InstallAdorner(); // Get the Adorner Layer and add the Adorner.
}
注意：image.RenderTransformOrigin = new Point(0.5, 0.5) 设置为渲染图像的中心。所有变换都将基于变换时图像的中心。
public MyImageAdorner(UIElement adornedElement)
: base(adornedElement)
{
visualChildren = new VisualCollection(this);
// Initialize the Movement and Rotation thumbs.
BuildAdornerRotate(ref moveHandle, Cursors.SizeAll);
BuildAdornerRotate(ref rotateHandle, Cursors.Hand);
// Add handlers for move and rotate.
moveHandle.DragDelta += new DragDeltaEventHandler(moveHandle_DragDelta);
moveHandle.DragCompleted += new DragCompletedEventHandler(moveHandle_DragCompleted);
rotateHandle.DragDelta += new DragDeltaEventHandler(rotateHandle_DragDelta);
rotateHandle.DragCompleted += new DragCompletedEventHandler(rotateHandle_DragCompleted);
// Initialize the Resizing (i.e., corner) thumbs with specialized cursors.
BuildAdornerCorner(ref topLeft, Cursors.SizeNWSE);
// Add handlers for resizing.
topLeft.DragDelta += new DragDeltaEventHandler(TopLeft_DragDelta);
topLeft.DragCompleted += TopLeft_DragCompleted;
// Put the outline border arround the image. The outline will be moved by the DragDelta's
BorderTheImage();
}
#region [Rotate]
/// <summary>
/// Rotate the Adorner Outline about its center point. The Outline rotation will be applied to the image
/// in the DragCompleted event.
/// </summary>
/// <param name="sender"></param>
/// <param name="e"></param>
void rotateHandle_DragDelta(object sender, DragDeltaEventArgs e)
{
// Get the position of the mouse relative to the Thumb. (All cooridnates in Render Space)
Point pos = Mouse.GetPosition(this);
// Render origin is set at center of the adorned element. (all coordinates are in rendering space).
double CenterX = AdornedElement.RenderSize.Width / 2;
double CenterY = AdornedElement.RenderSize.Height / 2;
double deltaX = pos.X - CenterX;
double deltaY = pos.Y - CenterY;
double angle;
if (deltaY.Equals(0))
{
if (!deltaX.Equals(0))
angle = 90;
else
return;
}
else
{
double tan = deltaX / deltaY;
angle = Math.Atan(tan); angle = angle * 180 / Math.PI;
}
// If the mouse crosses the vertical center,
// find the complementary angle.
if (deltaY > 0)
angle = 180 - Math.Abs(angle);
// Rotate left if the mouse moves left and right
// if the mouse moves right.
if (deltaX < 0)
angle = -Math.Abs(angle);
else
angle = Math.Abs(angle);
if (double.IsNaN(angle))
return;
// Apply the rotation to the outline. All Transforms are set to Render Center.
rotation.Angle = angle;
rotation.CenterX = CenterX;
rotation.CenterY = CenterY;
outline.RenderTransform = rotation;
}
/// Rotates image to the same angle as outline arround the render origin.
void rotateHandle_DragCompleted(object sender, DragCompletedEventArgs e)
{
// Get Rotation Angle from outline. All element rendering is set to rendering center.
RotateTransform _rt = outline.RenderTransform as RotateTransform;
// Add RotateTransform to the adorned element.
TransformGroup gT = AdornedElement.RenderTransform as TransformGroup;
RotateTransform rT = new RotateTransform(_rt.Angle);
gT.Children.Insert(0, rT);
AdornedElement.RenderTransform = gT;
outline.RenderTransform = Transform.Identity; // clear transform from outline.
}
#endregion //Rotate
#region [TopLeft Corner
// Top Left Corner is being dragged. Anchor is Bottom Right.
void TopLeft_DragDelta(object sender, DragDeltaEventArgs e)
{
ScaleTransform sT = new ScaleTransform(1 - e.HorizontalChange / outline.ActualWidth, 1 - e.VerticalChange / outline.ActualHeight,
outline.ActualWidth, outline.ActualHeight);
outline.RenderTransform = sT; // This will immediately show the new outline without changing the Image.
}
/// The resizing outline for the TopLeft is based on the bottom right-corner. The resizing transform for the
/// element, however, is based on the render origin being in the center. Therefore, the Scale transform
/// received from the outling must be recalculated to have the same effect--only from the rendering center.
///
/// TopLeft_DragCompleted resize the element rendering.
private void TopLeft_DragCompleted(object sender, DragCompletedEventArgs e)
{
// Get new scaling from the Outline.
ScaleTransform _sT = outline.RenderTransform as ScaleTransform;
scale.ScaleX *= _sT.ScaleX; scale.ScaleY *= _sT.ScaleY;
Point Center = new Point(AdornedElement.RenderSize.Width/2, AdornedElement.RenderSize.Height/2);
TransformGroup gT = AdornedElement.RenderTransform as TransformGroup;
ScaleTransform sT = new ScaleTransform( _sT.ScaleX, _sT.ScaleY, Center.X, Center.Y);
gT.Children.Insert(0, sT);
AdornedElement.RenderTransform = gT;
outline.RenderTransform = Transform.Identity; // Clear outline transforms. (Same as null).
}
#endregion
注意：我将每个新转换添加到子列表的第一个。这使得对图像的计算更容易。