The paper deals with the inverse transformation of coordinates for rob
otic manipulators with high payload capacity, which are widely used in
welding applications. Such manipulators are usually equipped with 3 d
.o.f. offset wrists or 2 d.o.f reduced wrists, that do not satisfy the
Pieper condition that ensures the existence of a closed-form solution
of the inverse kinematics. Two reliable iterative algorithms are prop
osed to solve the problem in real time. The algorithms have been imple
mented in commercial robot controllers and software packages for the c
omputer-aided design of welding robotic cells. Copyright (C) 1997 Else
vier Science Ltd.