Determine if a mesh is visible on the viewport according to current camera
Solution 1:
This is the code you're after:
var frustum = new THREE.Frustum();
var cameraViewProjectionMatrix = new THREE.Matrix4();
// every time the camera or objects change position (or every frame)
camera.updateMatrixWorld(); // make sure the camera matrix is updated
camera.matrixWorldInverse.getInverse( camera.matrixWorld );
cameraViewProjectionMatrix.multiplyMatrices( camera.projectionMatrix, camera.matrixWorldInverse );
frustum.setFromMatrix( cameraViewProjectionMatrix );
// frustum is now ready to check all the objects you need
console.log( frustum.intersectsObject( object ) );