基于中轴变换的参数化图形构造方法

THE METHOD OF PARAMETRIC GRAPH CONSTRUCTIONBASED ON THE MEDIAL AXIS TRANSFORMATION

图形构造是工程领域中设计图形的重要手段,针对其在效率、交互性和复用性存在的不足,提出一种基于中轴变换的参数化图形构造方法。通过控制点生成中轴段,通过中轴半径确定图形边界信息。基于上一条中轴段的端点迭代生成中轴段及其边界;基于这些边界信息,构造出图形。利用中轴的控制点进行交互,确保了构造时的交互性;只需对参数值进行改变,即可构造相似的图形,保证了方法的复用性;复杂的图形仅需要通过简单的中轴变换即可得出,确保了构造方法的效率。通过实例,证明了该方法在效率、交互性和复用性上的优越性。

Graphic construction is an important means of designing graphics in the engineering field.The shortcomings of current graphics construction methods are insufficient efficiency,interactivity,and reusability.In order to solve these problems,a parametric graph construction method based on the medial axis transformation is proposed.First,The medial axis segment was generated by the control point.Then,the graphic boundary was determined by the radius of the medial axis.Next,the medial axis segment and its boundary were generated based on the iteration of the endpoint of the previous medial axis segment.Finally,based on these boundary,a graphic was constructed.Interacting with the control points of the medial axis ensured interactivity during construction.At the same time,it is only necessary to change the parameter values to construct a similar figure,thus ensuring the reusability of the method.Complex graphics can be obtained by a simple medial axis transformation,which also ensured the efficiency of the construction method.The advantages of the method in terms of efficiency,interactivity and reusability were proved by examples.