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Geometric Hermite interpolation by a family of intrinsically defined planar curves
2016
Computer-Aided Design
This paper proposes techniques of interpolation of intrinsically defined planar curves to Hermite data. In particular, a family of planar curves corresponding to which the curvature radius functions are polynomials in terms of the tangent angle are used for the purpose. The Cartesian coordinates, the arc lengths and the offsets of this type of curves can be explicitly obtained provided that the curvature functions are known. For given G 1 or G 2 boundary data with or without prescribed arc
doi:10.1016/j.cad.2016.04.001
fatcat:s6o4z2diwzhsrnwsulftc6q33y