规划制图中折线式曲线的曲线化模型

在单一折线曲线化的基础上，根据Ｂｅｚｉｅｒ曲线的生成原理，通过两次对折线组的修正，形成保持原拓扑关系的Ｂｅｚｉｅｒ曲线组，并保持折线组在曲线化过程中失真程度小．通过检验，利用三次Ｂｅｚｉｅｒ曲线化模型曲线化的曲线组能够满足制图学的精度和拓扑要求．该模型适宜在ＧＩＳ、电子地图、虚拟现实等方面运用．最后阐述了该模型在城市规划、土地利用等方面制图的应用．

A Smoothing Model of Linearized Curve in Planning Mapping

Curves are usually digitized by linear approximation in CAC and GIS. Although this method can keep the distort between a curve and a linear curve in control, it does not work well for a group of linear curves. On the basis of the method of making a single Bezier curve. The authors render the Piecewise Cubic Bezier Model to smooth linear. Each linear curve is made into Bezier curve after modifying the relation of linear curves to keep them not to intersect each other. The model can keep the element accuracy and topological. The paper discusses mainly the application of the model in urban planning, cartography of city map and so on.