Models of Elementary Surfaces

Fillet surfaces are created along a common edge of two surfaces or between two surfaces having no common edge. A fillet surface is created as an individual surface entity. The model saves information about the original and the fillet surface in the history of the model construction. The radius of a fillet can be  

Fillet surfaces are created along open and closed complex contours. The segment of a complex fillet between two fillets with different radii is called a transitional fillet. Sometimes a high number of surfaces connected by filleted edges are affected by filleting. This produces many problematic situations for geometric calculations. 

A series of filleting operations may produce a complex set of analytic surfaces and curves. Advanced filleting methods can fit a single or several free form surfaces to replace a large number of analytical curves and surfaces. Fillets in advanced shape models are often created as free form surfaces instead of as simple analytic surface segments. However, continuity constraints do not allow too many variations of their shape. 

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