摘要
基于矩阵变化描述生成平面Hilbert曲线的方法简单,易于编程实现,将其进行了正确的空间矢量化,使它能够映射在自由曲面上。分析了矩阵变化描述曲线的思想,结合自由曲面的形成过程,提出将平面Hilbert曲线通过与曲面参数域相对应的方法映射到曲面上的思想,建立了二者之间的映射关系,构建了映射算法,最后用一个具体实例验证了构建算法的可行性。该映射算法为Hilbert曲线的应用扩展到空间区域提供了方法支持。
Plane Hilbert curve is described by matrix operation with the advantage of generation method simply and programming easily, in order to map the curve to free surface, the curve is made vector in space. The idea of generating curve is analyzed, combined with the formation of free surface, plane Hilbert space-filling curve was mapped to the surface through correspondence with the surface parameters domain, the mapping relation is established between curve and surface, mapping algorithm is constructed, finally, an example has beon given. to testif） the feasibility of the algorithm. The algorithm is helpful to extend the application of Hilbert curve to space domain.
出处
《价值工程》
2011年第18期155-156,共2页
Value Engineering
基金
陕西省教育厅专项科研计划项目(09JK327)
宝鸡文理学院重点项目(ZK09154)
