VRML(Virtual Reality Modeling Language)format as an international standard for virtual reality,has al- ready been widely adopted for graphical representation of 3D objects over the Web.Adopting VRML model in RP(Rapid ...VRML(Virtual Reality Modeling Language)format as an international standard for virtual reality,has al- ready been widely adopted for graphical representation of 3D objects over the Web.Adopting VRML model in RP(Rapid Prototyp- ing)can reduce the precision loss which is caused by triangulation in generating STL file.Hence exploring a slicing method and de- veloping a slicing software for VRML model is important and significant to improve the accuracy of RP products.Finding inter- sections of a plane and VRML model is the key operation in slicing algorithm.This paper presents a method for calculating the in- tersections between a set of parallel planes and VRML geometric primitives.Based on the analysis of the relative position between a plane and a geometric primitive,intersection conditions in all cases were obtained,and the geometric parameters and corresponding equations of intersections were derived.The algorithm had been tested,and applications show that it is robust and effective.展开更多
Let C(n)be a complete intersection monomial curve in the 4-dimensional affine space.In this paper we study the complete intersection property of the monomial curve C(n+wv),where w>0 is an integer and v ∈ N^4.In ad...Let C(n)be a complete intersection monomial curve in the 4-dimensional affine space.In this paper we study the complete intersection property of the monomial curve C(n+wv),where w>0 is an integer and v ∈ N^4.In addition,we investigate the Cohen-Macaulayness of the tangent cone of C(n+wv).展开更多
文摘VRML(Virtual Reality Modeling Language)format as an international standard for virtual reality,has al- ready been widely adopted for graphical representation of 3D objects over the Web.Adopting VRML model in RP(Rapid Prototyp- ing)can reduce the precision loss which is caused by triangulation in generating STL file.Hence exploring a slicing method and de- veloping a slicing software for VRML model is important and significant to improve the accuracy of RP products.Finding inter- sections of a plane and VRML model is the key operation in slicing algorithm.This paper presents a method for calculating the in- tersections between a set of parallel planes and VRML geometric primitives.Based on the analysis of the relative position between a plane and a geometric primitive,intersection conditions in all cases were obtained,and the geometric parameters and corresponding equations of intersections were derived.The algorithm had been tested,and applications show that it is robust and effective.
文摘Let C(n)be a complete intersection monomial curve in the 4-dimensional affine space.In this paper we study the complete intersection property of the monomial curve C(n+wv),where w>0 is an integer and v ∈ N^4.In addition,we investigate the Cohen-Macaulayness of the tangent cone of C(n+wv).
