Calculate near/far plane vertices using THREE.Frustum

Question

I need some help to deal with THREE.Frustum object.

My problem:

I need to calculate near/far plane vertices; I've taken a look at these tutorials

and I've sketched this function implementing exactly (I hope so) the procedure explained (just to get top-left/right vertices, assuming the camera can only look left and right):

        // Near Plane dimensions
        hNear = 2 * Math.tan(camera.fov / 2) * camera.near; // height
        wNear = hNear * camera.aspect; // width

        // Far Plane dimensions
        hFar = 2 * Math.tan(camera.fov / 2) * camera.far; // height
        wFar = hFar * camera.aspect; // width

getVertices : function() {
        var p = camera.position.clone();
        var l = getCurrentTarget(); // see below
        var u = new THREE.Vector3(0, 1, 0);

        var d = new THREE.Vector3();
        d.sub(l, p);
        d.normalize();

        var r = new THREE.Vector3();
        r.cross(u, d);
        r.normalize();

        // Near Plane center
        var dTmp = d.clone();
        var nc = new THREE.Vector3();
        nc.add(p, dTmp.multiplyScalar(camera.near));

        // Near Plane top-right and top-left vertices
        var uTmp = u.clone();
        var rTmp = r.clone();
        var ntr = new THREE.Vector3();
        ntr.add(nc, uTmp.multiplyScalar(hNear / 2));
        ntr.subSelf(rTmp.multiplyScalar(wNear / 2));

        uTmp.copy(u);
        rTmp.copy(r);
        var ntl = new THREE.Vector3();
        ntl.add(nc, uTmp.multiplyScalar(hNear / 2));
        ntl.addSelf(rTmp.multiplyScalar(wNear / 2));

        // Far Plane center
        dTmp.copy(d);
        var fc = new THREE.Vector3();
        fc.add(p, dTmp.multiplyScalar(camera.far));

        // Far Plane top-right and top-left vertices
        uTmp.copy(u);
        rTmp.copy(r);
        var ftr = new THREE.Vector3();
        ftr.add(fc, uTmp.multiplyScalar(hFar / 2));
        ftr.subSelf(rTmp.multiplyScalar(wFar / 2));

        uTmp.copy(u);
        rTmp.copy(r);
        var ftl = new THREE.Vector3();
        ftl.add(fc, uTmp.multiplyScalar(hFar / 2));
        ftl.addSelf(rTmp.multiplyScalar(wFar / 2));

getCurrentTarget : function() {
        var l = new THREE.Vector3(0, 0, -100);
        this.camera.updateMatrixWorld();
        this.camera.matrixWorld.multiplyVector3(l);
        return l;
    }

This seems to work but...

My Question:

Can I obtain the same result in a more elegant (maybe more correct) way, using a THREE.Frustum object?

Calculate near/far plane vertices using THREE.Frustum

1 Answers