A mounting system for coupling first and second surgical components. The mounting system comprises a first mounting portion associated with the first surgical component, a second mounting portion associated with the second surgical component and comprising a tensioner movable between a first position and a second position, and a sterile barrier assembly. The sterile barrier assembly comprises a coupling configured to releasably secure to the first mounting portion and to releasably receive the second mounting portion when the tensioner of the second mounting portion is in the first position, and a plurality of kinematic couplers configured to engage the mounting portions and arranged to provide a kinematic coupling between the mounting portions through the sterile barrier assembly to constrain six degrees of freedom of movement between the surgical components when the tensioner of the second mounting portion is in the second position.