ios – Scenekit Pan 2D翻译到正交3D仅水平

概述我在3D编程方面遇到了更多的数学问题,我希望你能帮助我！ 我正在尝试使用具有等角度角度的Scenekit创建3D游戏. 这段代码创建了我的正交相机： var cameraNode = SCNNode()cameraNode.camera = SCNCamera()cameraNode.name = "Camera"cameraNode.position = SCNVector3Make(-5 我在3D编程方面遇到了更多的数学问题,我希望你能帮助我！

我正在尝试使用具有等角度角度的Scenekit创建3D游戏.

这段代码创建了我的正交相机：

var cameraNode = SCNNode()cameraNode.camera = SCNCamera()cameraNode.name = "Camera"cameraNode.position = SCNVector3Make(-5.0,-5.0,10.0)cameraNode.eulerAngles = SCNVector3Make(PI / 3.0,0.0,-PI / 4.0)cameraNode.camera?.usesOrthographicProjection = truecameraNode.camera?.orthographicScale = 7.0scene.rootNode.addChildNode(cameraNode)

现在我想使用平移手势移动相机,产生滚动感.为了实现这一点,相机不应垂直移动,只能水平移动.移动时,屏幕上的触摸位置和3D世界中未投影的位置应保持不变.

我考虑过计算2D平移到3D差异并忽略垂直分量.这段代码实际上可以工作,几乎可以产生所需的结果,但速度不正确.如果我平移,相机似乎加速并且没有正确反应：

var prevIoUsTranslation = CGPointMake(0.0,0.0)func pan(gesture: UIPanGestureRecognizer){    let vIEw = self.vIEw as SCNVIEw    let translation = gesture.translationInVIEw(vIEw)    let location = gesture.locationInVIEw(vIEw)    let diffTrans = translation - prevIoUsTranslation    prevIoUsTranslation = translation    let cameraNode = scene.rootNode.childNodeWithname("Camera",recursively: false)    let worldPointTrans = vIEw.unprojectPoint(SCNVector3Make(-float(diffTrans.x),-float(diffTrans.y),0.0))    let worldPoint0 = vIEw.unprojectPoint(SCNVector3Make(0.0,0.0))    var diff = worldPointTrans - worldPoint0    diff.x = diff.x / float(cameraNode!.camera!.orthographicScale)    diff.y = diff.y / float(cameraNode!.camera!.orthographicScale)    diff.z = 0    cameraNode?.position += diff}

有人知道一种复杂的方法来计算屏幕平移到水平3D平移,忽略垂直轴吗？

先感谢您 ：)

编辑：
平底锅现在用于水平翻译.但不是垂直的,因为我将z轴上的差异设置为零.

解决方法 我找到了自己的解决方案.

我正在计算手势开始位置(P1-P2)的光线和翻译位置(Q1-Q2)的光线.现在我有两条光线,让两条光线都与XY平面相交,以接收点P0和Q0

P0和Q0的差异是未投影的翻译.

这种技术也适用于非正交相机,但我还没有测试过.

在我看来它是有效的,但如果有人能在数学上证实这个假设,我会很高兴看到:)

这是代码：

var prevIoUsLocation = SCNVector3(x: 0,y: 0,z: 0)func pan(gesture: UIPanGestureRecognizer){    let vIEw = self.vIEw as SCNVIEw    let translation = gesture.translationInVIEw(vIEw)    let location = gesture.locationInVIEw(vIEw)    let secLocation = location + translation    let P1 = vIEw.unprojectPoint(SCNVector3(x: float(location.x),y: float(location.y),z: 0.0))    let P2 = vIEw.unprojectPoint(SCNVector3(x: float(location.x),z: 1.0))    let Q1 = vIEw.unprojectPoint(SCNVector3(x: float(secLocation.x),y: float(secLocation.y),z: 0.0))    let Q2 = vIEw.unprojectPoint(SCNVector3(x: float(secLocation.x),z: 1.0))    let t1 = -P1.z / (P2.z - P1.z)    let t2 = -Q1.z / (Q2.z - Q1.z)    let x1 = P1.x + t1 * (P2.x - P1.x)    let y1 = P1.y + t1 * (P2.y - P1.y)    let P0 = SCNVector3Make(x1,y1,0)    let x2 = Q1.x + t1 * (Q2.x - Q1.x)    let y2 = Q1.y + t1 * (Q2.y - Q1.y)    let Q0 = SCNVector3Make(x2,y2,0)    var diffR = Q0 - P0    diffR *= -1    let cameraNode = vIEw.scene!.rootNode.childNodeWithname("Camera",recursively: false)    switch gesture.state {    case .Began:        prevIoUsLocation = cameraNode!.position        break;    case .Changed:        cameraNode?.position = prevIoUsLocation + diffR        break;    default:        break;    }}

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