Methods for simulating string collisions with rigid spatial obstacles

In certain musical instruments, the collisions of a vibrating string with rigid spatial obstacles, such as frets or a curved bridge, are crucial to the tonal quality of the sounds produced. For realistic physical modeling of these instruments, such nonlinearity-inducing interactions need to be examined and simulated accurately. In pursuit of this ultimate goal, we present approaches based on digital waveguides and finite-difference schemes to simulate an ideal string colliding inelastically with rigid obstacles.