Answer 1

Answer 2

Answer 3

答案在James Ward关于这个问题的评论之一，位于blog post。

博客文章没有说的一件事是，在很多情况下，相关类的t​​ransform属性的perspectiveProjection属性将为null。链接到示例通过将maintainProjectionCenter属性设置为true来处理此问题。但是，您也可以创建一个新的perspectiveProjection对象：

object.transform.perspectiveProjection = new PerspectiveProjection();

我把evtimmy中的函数包装成了一个类：

/**
 * DotComIt/Flextras 
 * Utils3D.as
 * Utils3D
 * jhouser
 * Aug 5, 2010
 */
package com.flextras.coverflow
{
    import flash.geom.Matrix3D;
    import flash.geom.PerspectiveProjection;
    import flash.geom.Rectangle;
    import flash.geom.Utils3D;
    import flash.geom.Vector3D;

    public class TransformUtilities
    {
        public function TransformUtilities()
        {
        }


    //--------------------------------------------------------------------------
    //
    //  Methods
    //
    //--------------------------------------------------------------------------

    //----------------------------------
    //  projectBounds
    //----------------------------------
    // info from 
    // http://evtimmy.com/2009/12/calculating-the-projected-bounds-using-utils3dprojectvector/

    /**
     * Method retrieved from  
     * http://evtimmy.com/2009/12/calculating-the-projected-bounds-using-utils3dprojectvector/
     * 
     * @param bounds:  The rectangle that makes up the object
     * @param matrix The 3D Matrix of the item
     * @param the projection of the item's parent.
     */
    public static function projectBounds(bounds:Rectangle,
                                         matrix:Matrix3D, 
                                         projection:PerspectiveProjection):Rectangle
    {
        // Setup the matrix
        var centerX:Number = projection.projectionCenter.x;
        var centerY:Number = projection.projectionCenter.y;
        matrix.appendTranslation(-centerX, -centerY, projection.focalLength);
        matrix.append(projection.toMatrix3D());

        // Project the corner points
        var pt1:Vector3D = new Vector3D(bounds.left, bounds.top, 0); 
        var pt2:Vector3D = new Vector3D(bounds.right, bounds.top, 0) 
        var pt3:Vector3D = new Vector3D(bounds.left, bounds.bottom, 0);
        var pt4:Vector3D = new Vector3D(bounds.right, bounds.bottom, 0);
        pt1 = Utils3D.projectVector(matrix, pt1);
        pt2 = Utils3D.projectVector(matrix, pt2);
        pt3 = Utils3D.projectVector(matrix, pt3);
        pt4 = Utils3D.projectVector(matrix, pt4);

        // Find the bounding box in 2D
        var maxX:Number = Math.max(Math.max(pt1.x, pt2.x), Math.max(pt3.x, pt4.x));
        var minX:Number = Math.min(Math.min(pt1.x, pt2.x), Math.min(pt3.x, pt4.x));
        var maxY:Number = Math.max(Math.max(pt1.y, pt2.y), Math.max(pt3.y, pt4.y));
        var minY:Number = Math.min(Math.min(pt1.y, pt2.y), Math.min(pt3.y, pt4.y));

        // Add back the projection center
        bounds.x = minX + centerX;
        bounds.y = minY + centerY;
        bounds.width = maxX - minX;
        bounds.height = maxY - minY;
        return bounds;
    }

    }

}

虽然这是我的问题的答案，但我不确定这是否是我的问题的解决方案。谢谢大家！