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In 3D computer graphics modeling, curves are the quintessential primitive for constructing and manipulating surfaces. Successful 3D modelling is largely based on producing the right set of curves which ultimately give rise to the desired 3D shape. Thus, techniques for developing and controlling curve shapes are a critical issue.

Most current interactive curve manipulation techniques require that the user, to some extent, work with the mathematical definition of a curve to control its shape. For example, curves are created and controlled by virtual techniques such as control vertex positioning and adjusting curve continuity and tangency.