80 citations · 365 across the 57 of their papers we have counts for
58 papers
An introduction to using dual quaternions to study kinematics
Stephen Montgomery-Smith, Cecil Shy
We explain the use of dual quaternions to represent poses, twists, and wrenches.
Using Lie derivatives with dual quaternions for parallel robots
Stephen Montgomery-Smith, Cecil Shy
We introduce the notion of the Lie derivative in the context of dual quaternions that represent rigid motions and twists. First we define the wrench in terms of dual quaternions. T…
Control of systems by parallel actuators
Stephen Montgomery-Smith
We describe a particular control method for a system controlled by several actuators with the same control constants. We show under certain assumptions that the control constants f…
Functional calculus for dual quaternions
Stephen Montgomery-Smith
We give a formula for , where is a continuously differentiable function satisfying , and is a dual quaternion. N…
Perturbations of the coupled Jeffery-Stokes equations
Stephen Montgomery-Smith
This paper seeks to provide clues as to why experimental evidence for the alignment of slender fibers in semi-dilute suspensions under shear flows does not match theoretical predic…
The Fast Exact Closure for Jeffery's Equation with Diffusion
Stephen Montgomery-Smith, David Jack, Douglas E. Smith
Jeffery's equation with diffusion is widely used to predict the motion of concentrated fiber suspensions in flows with low Reynold's numbers. Unfortunately, the evaluation of the f…