three.js - two points, one cylinder, align issue

(new to stackoverflow, new to webgl/three.js, ...)

I'm using three.js r54 to plot a force-directed graph. the edges between the nodes are THREE.Lines, which is fine, but lines are not selectable with a raycaster. so my aim is to take cylinders instead(/along with) of lines(also because I can do some further stuff: using textures,...)

this is what I'm doing to place the cylinders:

// 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}));

(descripted in: http://www.fastgraph.com/makegames/3drotation/ )

So the cylinders are placed at the right offset and align in some kind of way, but not to the two points (start, end) of the edges.
any suggestion would be appreciated!

Solution

using that : object3d-rotation-to-align-to-a-vector

given 2 Vector3 and a scene:

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+ code :

 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);
    }