摘要
Interpolating a set of planar points is a common problem in CAD. Most constructions of interpolation functions are based on the parameters at the sample points. Assigning parameters to all sample points is a vital step before constructing interpolation functions. The most widely used parameterization method is accumulative chord length parameterization. In this paper, we give out a better method based on the interpolation of conics. Based on this method, a sequence of fairer Hermite curves can be constructed.
Interpolating a set of planar points is a common problem in CAD. Most constructions of interpolation functions are based on the parameters at the sample points. Assigning parameters to all sample points is a vital step before constructing interpolation functions. The most widely used parameterization method is accumulative chord length parameterization. In this paper, we give out a better method based on the interpolation of conics. Based on this method, a sequence of fairer Hermite curves can be constructed.
基金
Supported by Shandong Ji'nan College and Institute Independent Innovation Project (No.201303011),Shandong Ji'nan College and Institute Independent Innovation Project(No.201303021),Shandong Ji'nan College and Institute Independent Innovation Project(No.201303016)
Scientific Research Foundation of Shandong Province of Outstanding Young Scientist Award (No.BS2013DX039)
