A discretization precision control method based on the second order osculating surface is proposed. The discretization precision of 3 D solid is controlled according to the error between the discrete solid surface a...A discretization precision control method based on the second order osculating surface is proposed. The discretization precision of 3 D solid is controlled according to the error between the discrete solid surface and its second order osculating surface. The global maximal error has been gotten after analyzing all the extremums of the error function. It can be used in controlling and optimizing the discretization precision of 3 D solid in computer 3 D modeling and NC milling path generation.展开更多
In this study,osculating caustic developable surfaces and rectifying caustic developable surfaces were obtained by considering space curves and curves on surfaces as base curves and changing the direction of the light...In this study,osculating caustic developable surfaces and rectifying caustic developable surfaces were obtained by considering space curves and curves on surfaces as base curves and changing the direction of the light source refected by the mirror surface.It was proved that pseudo-evolute curves represent the striction curves(regression edges)of these surfaces.For developable surfaces based on curves on surfaces,it was observed that osculating caustic developable surfaces are equivalent to rectifying caustic developable surfaces if the curve is geodesic.Additionally,when the base curve was taken over any surface,the caustic surfaces were characterized as flat or normal approximation surfaces,depending on the direction of the light source.展开更多
文摘A discretization precision control method based on the second order osculating surface is proposed. The discretization precision of 3 D solid is controlled according to the error between the discrete solid surface and its second order osculating surface. The global maximal error has been gotten after analyzing all the extremums of the error function. It can be used in controlling and optimizing the discretization precision of 3 D solid in computer 3 D modeling and NC milling path generation.
基金Project supported by the Tirkiye Scientific and Technological Research Council(TUBiTAK)Program(No.2211-E)。
文摘In this study,osculating caustic developable surfaces and rectifying caustic developable surfaces were obtained by considering space curves and curves on surfaces as base curves and changing the direction of the light source refected by the mirror surface.It was proved that pseudo-evolute curves represent the striction curves(regression edges)of these surfaces.For developable surfaces based on curves on surfaces,it was observed that osculating caustic developable surfaces are equivalent to rectifying caustic developable surfaces if the curve is geodesic.Additionally,when the base curve was taken over any surface,the caustic surfaces were characterized as flat or normal approximation surfaces,depending on the direction of the light source.
