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wpf - How to make the border trim the child elements?

I have a Border with CornerRadius property set to 10. Inside that Border, there's a StackPanel. The panel contains two Borders with blue and red backgrounds, respectively.

The upper left and upper right corners of the blue border and the lower left and lower right corners of the red border are sticking out of the curved edges of the first border. I wish to make the blue and red borders trim to the parent border. Is that possible?

By the way, I do know that if I set the same value for CornerRadius property of the blue and red borders, it will follow the curve of the first one. I don't want that - I want trimming. Thanks!

<Border 
    Width="200" 
    Height="200" 
    BorderThickness="1" 
    BorderBrush="Black"
    CornerRadius="10">
    <StackPanel>
        <Border Height="100" Background="Blue" />
        <Border Height="100" Background="Red" />
    </StackPanel>
</Border>
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You may write a converter for the Clip property. Converter should implement IMultiValueConverter and bound to actual size and corner radius, for example.

public class BorderClipConverter : IMultiValueConverter
{
    public object Convert(object[] values, Type targetType, object parameter, CultureInfo culture)
    {
        if (values.Length == 3 && values[0] is double && values[1] is double && values[2] is CornerRadius)
        {
            var width = (double)values[0];
            var height = (double)values[1];

            if (width < Double.Epsilon || height < Double.Epsilon)
            {
                return Geometry.Empty;
            }

            var radius = (CornerRadius)values[2];

            // Actually we need more complex geometry, when CornerRadius has different values.
            // But let me not to take this into account, and simplify example for a common value.
            var clip = new RectangleGeometry(new Rect(0, 0, width, height), radius.TopLeft, radius.TopLeft);
            clip.Freeze();

            return clip;
        }

        return DependencyProperty.UnsetValue;
    }

    public object[] ConvertBack(object value, Type[] targetTypes, object parameter, CultureInfo culture)
    {
        throw new NotSupportedException();
    }
}

Usage:

<Border CornerRadius="10">
    <Border.Clip>
        <MultiBinding Converter="{StaticResource BorderClipConverter}">
            <Binding Path="ActualWidth"
                        RelativeSource="{RelativeSource Self}"/>
            <Binding Path="ActualHeight"
                        RelativeSource="{RelativeSource Self}"/>
            <Binding Path="CornerRadius"
                        RelativeSource="{RelativeSource Self}"/>
        </MultiBinding>
    </Border.Clip>
</Border>

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