如何用boost::geometry计算多边形旋转的实体体积？

#include <boost/geometry.hpp>
#include <boost/geometry/geometries/polygon.hpp>
#include <boost/geometry/geometries/point_xy.hpp>
#include <boost/geometry/strategies/transform.hpp>

namespace bg = boost::geometry;
namespace trans = bg::strategy::transform;

typedef bg::model::d2::point_xy<double> point_type;
typedef bg::model::polygon<point_type> polygon_type;

double calculateVolume(const polygon_type& polygon, double angle, const point_type& center)
{
    // 定义旋转变换策略
    trans::rotate_transformer<bg::degree, double, 2, 2> rotate(angle, center);

    // 对多边形进行旋转
    bg::transform(polygon, polygon, rotate);

    // 计算旋转后的多边形实体体积
    double volume = bg::area(polygon);

    return volume;
}

int main()
{
    // 定义多边形
    polygon_type polygon;
    bg::read_wkt("POLYGON((0 0, 0 10, 10 10, 10 0, 0 0))", polygon);

    // 定义旋转角度和中心点
    double angle = 45.0;  // 旋转角度为45度
    point_type center(5.0, 5.0);  // 中心点坐标为(5, 5)

    // 计算旋转后的实体体积
    double volume = calculateVolume(polygon, angle, center);

    // 输出结果
    std::cout << "旋转后的实体体积为：" << volume << std::endl;

    return 0;
}