CSG set-theoretic solid modelling and NC machining of blend surfaces

摘要

This paper presents a new solid modelling system capable of representing three dimensional objects consisting of both simple and complicated surfaces and, equally importantly, blend surfaces between them. Implicit polynomial inequalities and set theoretic techniques are used to specify the models. The modelling system can generate shaded pictures and NC machining instructions for cutting complicated objects automatically.

The modelling system uses a technique for generating polynomials for blends and fillets that allows the user complete control over their extent without requiring him or her explicitly to devise the polynomial inequalities needed to represent them.