The representation of large scale scattered data is a difficult problem, especially when various features of the representation, such as C 2-continuity, are required. This paper describes a fast algorithm for large ...The representation of large scale scattered data is a difficult problem, especially when various features of the representation, such as C 2-continuity, are required. This paper describes a fast algorithm for large scale scattered data approximation and interpolation. The interpolation algorithm uses a coarse-to-fine hierarchical control lattice to fit the scattered data. The refinement process is only used in the regions where the error between the scattered data and the result in a surface is greater than a specified tolerance. A method to ensure C 2-continuity is introduced to calculate the control lattice under constrained conditions. Experimental results show that this method can quickly represent large scale scattered data set.[展开更多
基金the National Natural Science Foundationof China!(No.6 96 430 0 1)
文摘The representation of large scale scattered data is a difficult problem, especially when various features of the representation, such as C 2-continuity, are required. This paper describes a fast algorithm for large scale scattered data approximation and interpolation. The interpolation algorithm uses a coarse-to-fine hierarchical control lattice to fit the scattered data. The refinement process is only used in the regions where the error between the scattered data and the result in a surface is greater than a specified tolerance. A method to ensure C 2-continuity is introduced to calculate the control lattice under constrained conditions. Experimental results show that this method can quickly represent large scale scattered data set.[
