rotation - Three.js - 两点，一个圆柱体，对齐问题

Question

(stackoverflow 新手，webgl/Three.js 新手，...)

我正在使用 Three.js r54 来绘制力导向图。节点之间的边是三条线，这很好，但不能使用光线转换器选择线。所以我的目标是用圆柱体代替(/连同)线条(也因为我可以做一些进一步的事情:使用纹理，...)

这就是我放置圆柱体的方法:

// init reference vector
var upVec = new THREE.Vector3(0,1,0);

//---withhin a loop---
// get direction
var direction = startPoint.subSelf(endPoint).clone();

// half length for cylinder height
var halfLength = direction.length() * 0.5;  

// get offset
var offset = endPoint.clone().addSelf(direction.clone().multiplyScalar(0.5));

// normalize direc
direction.normalize();

//newUpVec = upVec - (upVec *(dot) direction) * direction - projection of direction
var newUpVec = upVec.clone().subSelf(direction.clone().multiplyScalar(upVec.dot(direction.clone()))).normalize();
var right = newUpVec.clone().crossSelf(direction.clone());

//build rotation matrix
var rot = new THREE.Matrix4(right.x, right.y, right.z, 0,
                            newUpVec.x, newUpVec.y, newUpVec.z, 0, 
                            direction.x, direction.y, direction.z,0,
                            0,0,0,1);
//build translation matrix
var transla = new THREE.Matrix4(1, 0, 0, offset.x,
                                0, 1, 0, offset.y,
                                0, 0, 1, offset.z,
                                0, 0, 0, 1);

 //build transformation matrix
 var transfo = new THREE.Matrix4().multiply(transla, rot);

 // create geometry
 var cylgeo = new THREE.CylinderGeometry(2, 2, halfLength * 2, 12, 1, false);
 cylgeo.applyMatrix(transfo);

 var cylMesh = new THREE.Mesh(cylgeo, new THREE.MeshLambertMaterial({color:0x000000, 
            wireframe: true, shading: THREE.FlatShading}));

(描述于: http://www.fastgraph.com/makegames/3drotation/ )

因此，圆柱体被放置在正确的偏移处并以某种方式对齐，但不是与边缘的两个点(起点、终点)对齐。
任何建议将不胜感激!

Answer 1

使用: object3d-rotation-to-align-to-a-vector

给定 2 个 Vector3 和一个场景:

function drawCylinder(vstart, vend,scene){
var HALF_PI = +Math.PI * .5;
var distance = vstart.distanceTo(vend);
var position  = vend.clone().addSelf(vstart).divideScalar(2);

var material = new THREE.MeshLambertMaterial({color:0x0000ff});
var cylinder = new THREE.CylinderGeometry(10,10,distance,10,10,false);

var orientation = new THREE.Matrix4();//a new orientation matrix to offset pivot
var offsetRotation = new THREE.Matrix4();//a matrix to fix pivot rotation
var offsetPosition = new THREE.Matrix4();//a matrix to fix pivot position
orientation.lookAt(vstart,vend,new THREE.Vector3(0,1,0));//look at destination
offsetRotation.rotateX(HALF_PI);//rotate 90 degs on X
orientation.multiplySelf(offsetRotation);//combine orientation with rotation transformations
cylinder.applyMatrix(orientation)

var mesh = new THREE.Mesh(cylinder,material);
mesh.position=position;
scene.add(mesh);

}

r58+ 代码:

 function drawCylinder(vstart, vend,scene){
    var HALF_PI = Math.PI * .5;
    var distance = vstart.distanceTo(vend);
    var position  = vend.clone().add(vstart).divideScalar(2);

    var material = new THREE.MeshLambertMaterial({color:0x0000ff});
    var cylinder = new THREE.CylinderGeometry(10,10,distance,10,10,false);

    var orientation = new THREE.Matrix4();//a new orientation matrix to offset pivot
    var offsetRotation = new THREE.Matrix4();//a matrix to fix pivot rotation
    var offsetPosition = new THREE.Matrix4();//a matrix to fix pivot position
    orientation.lookAt(vstart,vend,new THREE.Vector3(0,1,0));//look at destination
    offsetRotation.makeRotationX(HALF_PI);//rotate 90 degs on X
    orientation.multiply(offsetRotation);//combine orientation with rotation transformations
    cylinder.applyMatrix(orientation)

    var mesh = new THREE.Mesh(cylinder,material);
    mesh.position=position;
    scene.add(mesh);
    }