He is a quote from Wikipedia page for Secret Sharing:
If the players store their shares on insecure computer servers, an attacker could crack in and steal the shares. If it is not practical to change the secret, the uncompromised (Shamir-style) shares can be renewed. The dealer generates a new random polynomial with constant term zero and calculates for each remaining player a new ordered pair, where the x-coordinates of the old and new pairs are the same. Each player then adds the old and new y-coordinates to each other and keeps the result as the new y-coordinate of the secret.
The idea here is that if you add a polynomial with constant term $0$ to another polynominal, it doesn't change the constant term. But I don't get how this is better than just redistributing new shares.
If you distribute the updates over an insecure channel, then the attacker can intercept them, steal new shares and convert them to old shares by substracting the update. So you have to distribute the updates over a channel as secure as the one originally used to distribute shares. So what's the point of using updates instead of just generating new shares?