Interval analysis is a growing branch of computational mathematics whe
re operations are carried out on intervals instead of real numbers. Th
is paper presents the first application of this method to robotic mech
anisms for the solution of inverse kinematics. As shown in this paper,
it is possible to potentially compute all solutions of the inverse ki
nematics problem using this method. This paper describes the prelimina
ries of interval analysis, the numerical algorithm, the computational
complexity, and illustrations with examples.