CSG set-theoretic solid modelling and NC machining of blend surfaces
D Zhang, A Bowyer - Proceedings of the second annual symposium on …, 1986 - dl.acm.org
D Zhang, A Bowyer
Proceedings of the second annual symposium on Computational geometry, 1986•dl.acm.orgThis 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 …
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 …
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.
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