Generalising ideas developed by Owczarek and Baxter and by Pasquier, w
e establish an equivalence between restricted solid-on-solid models an
d loop models. Application to the O(n) model leads to a new family of
solvable A-D-E models. For the models related to the classical A(L) al
gebra we present an off-critical extension and show that the A3 model
thus obtained can be viewed as a critical spin-1 Ising model in a magn
etic field. For this Ising model we calculate the critical exponent de
lta = 15 without the use of scaling relations.