Cyclides in computer aided geometric design II Original Research Article

Extensions are made to the methods of Pratt (1990) for the use of cyclides in solid modelling, with particular regard to their application as blend surfaces. New insights are given into the geometry and Bézier representation of cyclide surface patches. The existing theory of symmetric cyclide blends is extended and then generalised to cover asymmetric problems. Finally, some details are given of a wider class of surfaces which show great promise for CAD use in the future.