Recent developments in formulations for generating swept volumes have made a significant impact on the efficiency of employing such algorithms and on the extent to which formulations can be used in representing complex shapes. In this paper, we outline a method for employing the representation of implicit surfaces using the Jacobian rank deficiency condition presented earlier for the sweep of parametric surfaces. A numerical and broadly applicable analytic formulation is developed that yields the exact swept volume.
A numerical and broadly applicable analytic formulation based on the Jacobian rank deficiency was proposed in REF .
On Swept Volume Formulations: Implicit Surfaces
Comput. Aided Des.
Comput. Aided Des.
Computer Science Mathematics