Quartic bezier curves with four shape parameters in given tangent polygon

This paper proposes an algorithm of constructing planar quartic Bézier curve with four shape parameters in discretionary tangent polygon, and curve segments are joined together with G¹-continuity (first order geometrical continuity). Bézier curve segments are all shape-preserving to their tangent polygons. In a certain range, every curve segment can be adjusted by controlling parameters of the shape and parameters of control vertex. Finally, examples illustrate that the method given in this paper is effective.