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C^1 C^2INTERPOLATION OF SCATTERED DATA POINTS 
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作者 WANG JIAYE AND ZHANG CAIMING(Department of Computer Science,Shandong University Jinan 250100) 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1994年第1期1-9,共9页
In this paper an error in[4]is pointed out and a method for constructingsurface interpolating scattered data points is presented.The main feature of the methodin this paper is that the surface so constructed is polyno... In this paper an error in[4]is pointed out and a method for constructingsurface interpolating scattered data points is presented.The main feature of the methodin this paper is that the surface so constructed is polynomial,which makes the construction simple and the calculation easy. 展开更多
关键词 INTERPOLATION scattered data points TRIANGLE POLYNOMIAL BarycentricCoordinate.
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Hermite interpolation of scattered data based on the assistant surface
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作者 王全为 李学艺 +1 位作者 李彬 王小椿 《Journal of Coal Science & Engineering(China)》 2006年第2期108-111,共4页
An assistant surface was constructed on the base of boundary that being auto-matically extracted from the scattered data.The parameters of every data point corre-sponding to the assistant surface and their applied fie... An assistant surface was constructed on the base of boundary that being auto-matically extracted from the scattered data.The parameters of every data point corre-sponding to the assistant surface and their applied fields were calculated respectively.Inevery applied region,a surface patch was constructed by a special Hermite interpolation.The final surface can be obtained by a piecewise bicubic Hermite interpolation in the ag-gregate of applied regions of metrical data.This method avoids the triangulation problem.Numerical results indicate that it is efficient and accurate. 展开更多
关键词 reverse engineering scattered data points surface construction Hermite in- terpolation
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COMPLEX SURFACE RECONSTRUCTION BASED ON OBJECT-ORIENTED DEVELOPING TOOL VBA 被引量:5
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作者 Li Yupeng Wang Hong School of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, China 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2002年第3期248-251,共4页
Taking AutoCAD2000 as platform, an algorithm for the reconstruction ofsurface from scattered data points based on VBA is presented. With this core technology customerscan be free from traditional AutoCAD as an electro... Taking AutoCAD2000 as platform, an algorithm for the reconstruction ofsurface from scattered data points based on VBA is presented. With this core technology customerscan be free from traditional AutoCAD as an electronic board and begin to create actual presentationof real-world objects. VBA is not only a very powerful tool of development, but with very simplesyntax. Associating with those solids, objects and commands of AutoCAD 2000, VBA notably simplifiesprevious complex algorithms, graphical presentations and processing, etc. Meanwhile, it can avoidappearance of complex data structure and data format in reverse design with other modeling software.Applying VBA to reverse engineering can greatly improve modeling efficiency and facilitate surfacereconstruction. 展开更多
关键词 Reverse designing scattered data points Topological mesh VBAenvironment Complex surface reconstruction
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Inverse Construction Methods of Heterogeneous NURBS Object Based on Additive Manufacturing 被引量:1
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作者 Ting Zang Dongbin Zhu Guowang Mu 《Computer Modeling in Engineering & Sciences》 SCIE EI 2020年第11期597-610,共14页
According to the requirement of heterogeneous object modeling in additive manufacturing(AM),the Non-Uniform Rational B-Spline(NURBS)method has been applied to the digital representation of heterogeneous object in this... According to the requirement of heterogeneous object modeling in additive manufacturing(AM),the Non-Uniform Rational B-Spline(NURBS)method has been applied to the digital representation of heterogeneous object in this paper.By putting forward the NURBS material data structure and establishing heterogeneous NURBS object model,the accurate mathematical unified representation of analytical and free heterogeneous objects have been realized.With the inverse modeling of heterogeneous NURBS objects,the geometry and material distribution can be better designed to meet the actual needs.Radical Basis Function(RBF)method based on global surface reconstruction and the tensor product surface interpolation method are combined to RBF-NURBS inverse construction method.The geometric and/or material information of regular mesh points is obtained by RBF interpolation of scattered data,and the heterogeneous NURBS surface or object model is obtained by tensor product interpolation.The examples have shown that the heterogeneous objects fitting to scattered data points can be generated effectively by the inverse construction methods in this paper and 3D CAD models for additive manufacturing can be provided. 展开更多
关键词 NURBS heterogeneous object inverse construction method RBF scattered data points
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