This paper proposes an algorithm of constructing planar piecewise C-Bezier curve with all edges tangent to a given control polygon and another algorithm of B-type spline curve with all edges tangent to a given control...This paper proposes an algorithm of constructing planar piecewise C-Bezier curve with all edges tangent to a given control polygon and another algorithm of B-type spline curve with all edges tangent to a given control polygon is discribed.The segmented C-Bezier curve and B-type spline curve are shape-preserving to their tangent polygon.The all control points of the C-Bezier curve segments and B-type spline curve segments can be calculated simply by the vertices of the given tangent polygon.Finally,two nnumerical examples are given.展开更多
文摘This paper proposes an algorithm of constructing planar piecewise C-Bezier curve with all edges tangent to a given control polygon and another algorithm of B-type spline curve with all edges tangent to a given control polygon is discribed.The segmented C-Bezier curve and B-type spline curve are shape-preserving to their tangent polygon.The all control points of the C-Bezier curve segments and B-type spline curve segments can be calculated simply by the vertices of the given tangent polygon.Finally,two nnumerical examples are given.
