Abstract
Cyclide surfaces have low algebraic degree, exact nurbs representations and circular lines of curvature. Geometric modelling applications of the cyclide include blending of quadric surface intersections, piping layouts and cable harnesses. In this paper, we describe a scheme for smoothly composing a topologically rectangular network of cyclide patches. It is a two-step process. First, a cyclide quadrilateral mesh is constructed to approximate the target shape. Then, cyclide patches corresponding to the quadrilateral mesh are constructed. There is tangent plane continuity across the patch boundaries. Computations are based on the geometry of the cyclide and it is easy to detect degenerate cyclide patches, i.e. parabolic cyclide, cone, cylinder and sphere. We discuss issues related to global and local shape modification, and portability. Implemented examples are also included. Finally, we describe a simple strategy for NC machining of composite cyclide surfaces. Advantages are highlighted and implemented examples included.
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