How to determine if plane is in Three.js camera Frustum

Maybe the matrices are not updated?

camera.updateMatrix(); // make sure camera's local matrix is updated
camera.updateMatrixWorld(); // make sure camera's world matrix is updated
camera.matrixWorldInverse.getInverse( camera.matrixWorld );

plane.updateMatrix(); // make sure plane's local matrix is updated
plane.updateMatrixWorld(); // make sure plane's world matrix is updated

var frustum = new THREE.Frustum();
frustum.setFromMatrix( new THREE.Matrix4().multiplyMatrices( camera.projectionMatrix, camera.matrixWorldInverse ) );
alert( frustum.contains( plane ) );

Correct me if I'm wrong, but why to calculate frustum second time?

I'm working on a complex project and the accepted answer is not the best solution for me. I see no point of recalculating what aleady was calculated. For my purpose I modified my copy of three.js by raising a flag if something was detected in frustum or not. Later just check on your object if object.inFrustum === true

Below following line

if ( webglObjects && ( object.frustumCulled === false || _frustum.intersectsObject( object ) === true ) ) {

add

object.inFrustum = true;

also where the if block ends add an oposite flag

else {
    object.inFrustum = false;
}

My final result in r70 which works perfectly:

if ( webglObjects && ( object.frustumCulled === false || _frustum.intersectsObject( object ) === true ) ) {

    object.inFrustum = true; // The line to add

    for ( var i = 0, l = webglObjects.length; i < l; i ++ ) {

        var webglObject = webglObjects[i];

        unrollBufferMaterial( webglObject );

        webglObject.render = true;

        if ( _this.sortObjects === true ) {

            _vector3.setFromMatrixPosition( object.matrixWorld );
            _vector3.applyProjection( _projScreenMatrix );

            webglObject.z = _vector3.z;

        }

    }

} else { // Create second condition like that
    object.inFrustum = false;
}