我在STL文件中定义了3D形状,并且我想使用偏航角,俯仰和滚动来将其围绕其轴/中心旋转。但是,我已经实现了一个解决方案,但由于它绕原点轴旋转3D形状,因此无法正常工作。到目前为止,这是我所做的(用PHP编写):
function rotate($vertices, $roll = 0, $pitch = 0, $yaw = 0)
{
if(!empty($vertices))
{
$cosa = cos($yaw);
$sina = sin($yaw);
$cosb = cos($pitch);
$sinb = sin($pitch);
$cosc = cos($roll);
$sinc = sin($roll);
$Axx = $cosa * $cosb;
$Axy = $cosa * $sinb * $sinc - $sina * $cosc;
$Axz = $cosa * $sinb * $cosc + $sina * $sinc;
$Ayx = $sina * $cosb;
$Ayy = $sina * $sinb * $sinc + $cosa * $cosc;
$Ayz = $sina * $sinb * $cosc - $cosa * $sinc;
$Azx = -$sinb;
$Azy = $cosb * $sinc;
$Azz = $cosb * $cosc;
//loop through all triangles
foreach($vertices as $i => $vertex)
{
$px = $vertex->x;
$py = $vertex->y;
$pz = $vertex->z;
$points =
[
'x' => ($Axx * $px + $Axy * $py + $Axz * $pz),
'y' => ($Ayx * $px + $Ayy * $py + $Ayz * $pz),
'z' => ($Azx * $px + $Azy * $py + $Azz * $pz)
];
//update the vertex
$vertices[$i]->setVertex($vi, $points);
}
}
return $vertices;
}
如果我缺少什么,请告诉我。任何帮助将不胜感激。
答案 0 :(得分:2)
以上代码围绕原点旋转。如果旋转中心(例如$ c)不是原点,则可以在旋转之前移动对象:
$px = $vertex->x - $c->x;
$py = $vertex->y - $c->y;
$pz = $vertex->z - $c->z;
旋转后,将点移回旋转中心:
$points =
[
'x' => ($Axx * $px + $Axy * $py + $Axz * $pz) + $c->x,
'y' => ($Ayx * $px + $Ayy * $py + $Ayz * $pz) + $c->y,
'z' => ($Azx * $px + $Azy * $py + $Azz * $pz) + $c->z
];