PHP计算多个二维对象的边界框

我在二维场上有几个对象：

当按编程方式分组时，我需要计算项目的大小：

我有每个物体的大小，位置和旋转弧度

有人知道这个术语或方法吗

我需要用PHP来做

更新一些代码：

class Layer {
    /**
     * @var float The X position
     */
    public $x;
    /**
     * @var float The Y position
     */
    public $y;
    /**
     * @var float The width of the rectanlge 
     */
    public $width;
    /**
     *
     * @var float The height of the rectangle
     */
    public $height;
    /**
     *
     * @var float The rotation in radians
     */
    public $rotation;
}

---

---

---

我现在需要一种通过$layers循环计算边界框的方法。

我认为这是正确的计算：

    $layers = array();

    $layers[0] = new Layer();
    $layers[0]->x = 10;
    $layers[0]->y = 10;
    $layers[0]->width = 100;
    $layers[0]->height = 200;
    $layers[0]->rotation = 0.3;

    $layers[1] = new Layer();
    $layers[1]->x = 50;
    $layers[1]->y = 60;
    $layers[1]->width = 200;
    $layers[1]->height = 300;
    $layers[1]->rotation = 0.1;

    $layers[2] = new Layer();
    $layers[2]->x = 100;
    $layers[2]->y = 300;
    $layers[2]->width = 200;
    $layers[2]->height = 150;
    $layers[2]->rotation = 0.3;

    print_r($layers);

    $boundingBoxes = array();
    foreach($layers as $layerKey => $layer) {
      $intWidthRotated = $layer->height * abs( sin( $layer->rotation) ) + $layer->width * abs( cos( $layer->rotation ) );
      $intHeightRotated = $layer->height * abs( cos( $layer->rotation ) ) + $layer->width * abs( sin( $layer->rotation ) );
      $boundingBoxes[$layerKey] = array( $intWidthRotated, $intHeightRotated );
    }
    print_r($boundingBoxes);

    $boundingBox = array();
    $minX = null;
    $maxX = null;
    $minY = null;
    $maxY = null;
    foreach($layers as $layerKey => $layer) {
            $minX = $minX == null ? $layer->x : $minX >= $layer->x ? $layer->x : $minX;
            $maxX = $maxX == null ? $layer->x + $boundingBoxes[$layerKey][0] : $maxX <= $layer->x + $boundingBoxes[$layerKey][0] ? $layer->x + $boundingBoxes[$layerKey][0] : $maxX;

            $minY = $minY == null ? $layer->y : $minY >= $layer->y ? $layer->y : $minY;
            $maxY = $maxY == null ? $layer->y + $boundingBoxes[$layerKey][1] : $maxY <= $layer->y + $boundingBoxes[$layerKey][1] ? $layer->y + $boundingBoxes[$layerKey][1] : $maxY;
    }

    $boundingBox = array(
            'x' => $minX,
            'y' => $minY,
            'width' => $maxX,
            'height' => $maxY
    );

    print_r($boundingBox);

$layers=array（）；
$layers[0]=新层（）；
$layers[0]>x=10；
$layers[0]>y=10；
$layers[0]->宽度=100；
$layers[0]->高度=200；
$layers[0]->旋转=0.3；
$layers[1]=新层（）；
$layers[1]>x=50；
$layers[1]>y=60；
$layers[1]->宽度=200；
$layers[1]->高度=300；
$layers[1]->旋转=0.1；
$layers[2]=新层（）；
$layers[2]>x=100；
$layers[2]>y=300；
$layers[2]->宽度=200；
$layers[2]>高度=150；
$layers[2]>旋转=0.3；
打印（层）；
$boundingbox=array（）；
foreach（$layerKey=>$layer的图层）{
$intWidthRotated=$layer->height*abs（sin（$layer->rotation））+$layer->width*abs（cos（$layer->rotation））；
$intHeightRotated=$layer->height*abs（cos（$layer->rotation））+$layer->width*abs（sin（$layer->rotation））；
$BoundingBox[$layerKey]=数组（$intWidthRotated，$InRightRotated）；
}
打印（边框）；
$boundingBox=array（）；
$minX=null；
$maxX=null；
$minY=null；
$maxY=null；
foreach（$layerKey=>$layer的图层）{
$minX=$minX==null？$layer->x:$minX>=$layer->x？$layer->x:$minX；
$maxX=$maxX==null？$layer->x+$boundingbox[$layerKey][0]：$maxX x+$boundingbox[$layerKey][0]？$layer->x+$boundingbox[$layerKey][0]：$maxX；
$minY=$minY==null？$layer->y:$minY>=$layer->y？$layer->y:$minY；
$maxY=$maxY==null？$layer->y+$boundingBoxes[$layerKey][1]：$maxY+$boundingBoxes[$layerKey][1]？$layer->y+$boundingBoxes[$layerKey][1]：$maxY；
}
$boundingBox=数组(
'x'=>$minX，
“y”=>minY美元，
“宽度”=>$maxX，
“高度”=>$maxY
);
打印（边框）；

你能添加一些代码来显示你使用什么样的数据结构来存储各种对象数据吗？计算每个顶点的位置，然后计算出X和Y坐标的最小/最大值-吊杆，边界框。好的，编辑我的问题。我发现这篇文章计算了带旋转的单个矩形的边界框：

    $layers = array();

    $layers[0] = new Layer();
    $layers[0]->x = 10;
    $layers[0]->y = 10;
    $layers[0]->width = 100;
    $layers[0]->height = 200;
    $layers[0]->rotation = 0.3;

    $layers[1] = new Layer();
    $layers[1]->x = 50;
    $layers[1]->y = 60;
    $layers[1]->width = 200;
    $layers[1]->height = 300;
    $layers[1]->rotation = 0.1;

    $layers[2] = new Layer();
    $layers[2]->x = 100;
    $layers[2]->y = 300;
    $layers[2]->width = 200;
    $layers[2]->height = 150;
    $layers[2]->rotation = 0.3;

    print_r($layers);

    $boundingBoxes = array();
    foreach($layers as $layerKey => $layer) {
      $intWidthRotated = $layer->height * abs( sin( $layer->rotation) ) + $layer->width * abs( cos( $layer->rotation ) );
      $intHeightRotated = $layer->height * abs( cos( $layer->rotation ) ) + $layer->width * abs( sin( $layer->rotation ) );
      $boundingBoxes[$layerKey] = array( $intWidthRotated, $intHeightRotated );
    }
    print_r($boundingBoxes);

    $boundingBox = array();
    $minX = null;
    $maxX = null;
    $minY = null;
    $maxY = null;
    foreach($layers as $layerKey => $layer) {
            $minX = $minX == null ? $layer->x : $minX >= $layer->x ? $layer->x : $minX;
            $maxX = $maxX == null ? $layer->x + $boundingBoxes[$layerKey][0] : $maxX <= $layer->x + $boundingBoxes[$layerKey][0] ? $layer->x + $boundingBoxes[$layerKey][0] : $maxX;

            $minY = $minY == null ? $layer->y : $minY >= $layer->y ? $layer->y : $minY;
            $maxY = $maxY == null ? $layer->y + $boundingBoxes[$layerKey][1] : $maxY <= $layer->y + $boundingBoxes[$layerKey][1] ? $layer->y + $boundingBoxes[$layerKey][1] : $maxY;
    }

    $boundingBox = array(
            'x' => $minX,
            'y' => $minY,
            'width' => $maxX,
            'height' => $maxY
    );

    print_r($boundingBox);