If you're looking to find the intersection between your mouse and a 3D scene, here's some code that could point you in the right direction:
Your version of the code will likely be simpler than this example. For instance, to create a Raycaster starting from the camera and pointing towards the center of a cube, you can try the following code snippet:
var ray = new THREE.Raycaster( camera.position, cube.position.clone().sub( camera.position ).normalize() );
Once you have the ray set up, you can then determine which objects intersect with it by using a method like this:
var intersects = ray.intersectObjects( scene.children );
I hope this information helps you as you begin working on your project!