查找具有旋转轴的旋转多边形的边界框

我在这里浏览了其他一些接近的答案，但是找不到解决我问题的方法。

我有一个绕轴位置旋转的多边形，我需要找到该多边形的边界框。本质上，边界框对象应具有左上角的x和y位置width以及height框本身的和。我可以使用此代码在不旋转的情况下计算多边形的框，但它也不考虑旋转。红色正方形是当前没有旋转的边界框，绿色圆圈是旋转轴，多边形是多边形本身。

Ideally, I don't want to re-compute each vertex position on each call to get the bounding box, I want it to be in the math itself. Here's an example of the polygon and the bounding box without rotation: https://i.imgur.com/MSOM9Q1.mp4

Here is my current code for finding bounding box for the non-rotated polygon:

const minX = Math.min(...this.vertices.map((vertex) => vertex.x));
const minY = Math.min(...this.vertices.map((vertex) => vertex.y));

return {
    x: minX + this.position.x,
    y: minY + this.position.y,
    width: Math.max(...this.vertices.map((vertex) => vertex.x)) - minX,
    height: Math.max(...this.vertices.map((vertex) => vertex.y)) - minY
};

Polygon object structure:

• The position is the center of the polygon
• The rotationAxis is a vector relative to the center of the polygon (position)
• The vertices array is a list of vectors relative to the center of the polygon

Bounding box structure:

What do I need to do calculate the bounding box of the rotated polygon?