You could use a multibinding and multiconverter.
You might also want to consider a different divisor. Maybe 3.
<Border Background="Blue">
<Border.CornerRadius>
<MultiBinding Converter="{local:MultiDividerConverter Divisor=2}">
<Binding Path="ActualWidth"
RelativeSource="{RelativeSource Self}"
/>
<Binding Path="ActualHeight"
RelativeSource="{RelativeSource Self}"
/>
</MultiBinding>
</Border.CornerRadius>
</Border>
and
public class MultiDividerConverter : MarkupExtension, IMultiValueConverter
{
public double Divisor { get; set; } = 2.0;
public object Convert(object[] values, Type targetType, object parameter, CultureInfo culture)
{
double minDim = values.Select(x => System.Convert.ToDouble(x ?? 0.0)).Min();
if (minDim == 0)
return new CornerRadius(0);
return new CornerRadius(minDim / Divisor);
}
public object[] ConvertBack(object value, Type[] targetTypes, object parameter, CultureInfo culture)
{
return null;
}
public override object ProvideValue(IServiceProvider serviceProvider)
{
return this;
}
}