论文标题
数字图像中拓扑复杂性的反例
Counterexamples for Topological Complexity in Digital Images
论文作者
论文摘要
数字拓扑具有自己的工作条件，有时与正常拓扑不同。在拓扑机器人技术领域，我们在这项研究中有重要的反例，以强调数字图像和拓扑空间之间的红线。我们指出，某些路径连接拓扑空间的拓扑复杂性的结果显示了数字图像的变化。我们还使用离散几何形状中数字表面的属给出了数字拓扑复杂性数的结果。
Digital topology has its own working conditions and sometimes differs from the normal topology. In the area of topological robotics, we have important counterexamples in this study to emphasize this red line between a digital image and a topological space. We indicate that the results on topological complexities of certain path-connected topological spaces show alterations in digital images. We also give a result about the digital topological complexity number using the genus of a digital surface in discrete geometry.
