C# Silverlight&；缩放位图图像，使其适合矩形而不进行裁剪

我需要旋转一个WriteableBitmap，并在它被裁剪之前将其放大或缩小

我当前的代码将旋转，但如果高度大于宽度，则会裁剪边

我想我需要扩大规模

 public WriteableBitmap Rotate(WriteableBitmap Source, double Angle)
        {
            RotateTransform rt = new RotateTransform();
            rt.Angle = Angle;

            TransformGroup transform = new TransformGroup();
            transform.Children.Add(rt);

            Image tempImage2 = new Image();
            WriteableBitmap wb;
            rt.CenterX = Source.PixelWidth / 2;
            rt.CenterY = Source.PixelHeight / 2;
            tempImage2.Width = Source.PixelWidth;
            tempImage2.Height = Source.PixelHeight;
            wb = new WriteableBitmap((int)(Source.PixelWidth), Source.PixelHeight);
            tempImage2.Source = Source;
            tempImage2.UpdateLayout();

            wb.Render(tempImage2, transform);
            wb.Invalidate();

            return wb;

        }

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如何缩小图像比例，使其不会被裁剪？或者还有其他方法吗？

您需要根据角点相对于中心的旋转来计算缩放比例。

如果图像是正方形，则只需要一个角，但对于矩形，需要检查两个角，以查看垂直或水平边是否重叠。此检查是对超出矩形高度和宽度的线性比较

伪代码如下（最后是实际的C代码）：

• 将旋转角度转换为弧度
• 计算从矩形中心到角的“半径”
• 将BR角点位置转换为极坐标
• 将BL角点位置转换为极坐标
• 将旋转应用于两个极坐标
• 将新位置转换回笛卡尔坐标（ABS值）
• 找到两个水平位置中最大的一个
• 找到两个垂直位置中最大的一个
• 计算水平尺寸的增量变化
• 计算垂直尺寸的增量变化
• 水平变化较大时返回宽度/2/x
• 如果垂直变化较大，返回高度为2/y

结果是一个乘法器，它将缩小图像以适应原始矩形，而不考虑旋转

**注意：虽然可以使用矩阵运算进行大部分数学运算，但没有足够的计算来保证这一点。我还认为，这将是一个更好的例子，从第一原则*

C#代码：

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如何缩小图像比例，使其不会被裁剪？还是有别的办法？

double CalculateConstraintScale(double rotation, int pixelWidth, int pixelHeight)

    /// <summary>
    /// Calculate the scaling required to fit a rectangle into a rotation of that same rectangle
    /// </summary>
    /// <param name="rotation">Rotation in degrees</param>
    /// <param name="pixelWidth">Width in pixels</param>
    /// <param name="pixelHeight">Height in pixels</param>
    /// <returns>A scaling value between 1 and 0</returns>
    /// <remarks>Released to the public domain 2011 - David Johnston (HiTech Magic Ltd)</remarks>
    private double CalculateConstraintScale(double rotation, int pixelWidth, int pixelHeight)
    {
        // Convert angle to radians for the math lib
        double rotationRadians = rotation * PiDiv180;

        // Centre is half the width and height
        double width = pixelWidth / 2.0;
        double height = pixelHeight / 2.0;
        double radius = Math.Sqrt(width * width + height * height);

        // Convert BR corner into polar coordinates
        double angle = Math.Atan(height / width);

        // Now create the matching BL corner in polar coordinates
        double angle2 = Math.Atan(height / -width);

        // Apply the rotation to the points
        angle += rotationRadians;
        angle2 += rotationRadians;

        // Convert back to rectangular coordinate
        double x = Math.Abs(radius * Math.Cos(angle));
        double y = Math.Abs(radius * Math.Sin(angle));
        double x2 = Math.Abs(radius * Math.Cos(angle2));
        double y2 = Math.Abs(radius * Math.Sin(angle2));

        // Find the largest extents in X & Y
        x = Math.Max(x, x2);
        y = Math.Max(y, y2);

        // Find the largest change (pixel, not ratio)
        double deltaX = x - width;
        double deltaY = y - height;

        // Return the ratio that will bring the largest change into the region
        return (deltaX > deltaY) ? width / x : height / y;
    }

    private WriteableBitmap GenerateConstrainedBitmap(BitmapImage sourceImage, int pixelWidth, int pixelHeight, double rotation)
    {
        double scale = CalculateConstraintScale(rotation, pixelWidth, pixelHeight);

        // Create a transform to render the image rotated and scaled
        var transform = new TransformGroup();
        var rt = new RotateTransform()
            {
                Angle = rotation,
                CenterX = (pixelWidth / 2.0),
                CenterY = (pixelHeight / 2.0)
            };
        transform.Children.Add(rt);
        var st = new ScaleTransform()
            {
                ScaleX = scale,
                ScaleY = scale,
                CenterX = (pixelWidth / 2.0),
                CenterY = (pixelHeight / 2.0)
            };
        transform.Children.Add(st);

        // Resize to specified target size
        var tempImage = new Image()
            {
                Stretch = Stretch.Fill,
                Width = pixelWidth,
                Height = pixelHeight,
                Source = sourceImage,
            };
        tempImage.UpdateLayout();

        // Render to a writeable bitmap
        var writeableBitmap = new WriteableBitmap(pixelWidth, pixelHeight);
        writeableBitmap.Render(tempImage, transform);
        writeableBitmap.Invalidate();
        return writeableBitmap;
    }