2d c++ computational geometry library

I would like to know if there is any c++ or preferable c++11 geometry library that can work with 2D shapes these shapes can have both strait and curved sides. The library can preform tasks like intersections, unions, and differences between collections of the shapes. The shapes include but are not limited to circles, squares, rectangle, triangle, ellipses, and rounded rectangle. I know that boost has a geometry library, but unless I am wrong it is too limited because it only works with polygon and not curved shape. I want to preserved the curves shape as long as possible. Any open source library would be okay as long and I do not have to include my source code link with the library. Also proprietary library are also good as long as the library cost under $1000