Adjacencies for recognition of digital Jordan surfaces

IF 0.7 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2024-09-25 DOI:10.1007/s00010-024-01123-8

Josef Šlapal

引用次数: 0

Abstract

For every positive integer, we introduce an adjacency in the digital space \({\mathbb {Z}}^3\). Connectedness in the graph obtained is then used to define and study digital Jordan surfaces. The surfaces are acquired as polyhedral surfaces bounding the digital polyhedra that can be face-to-face tiled with digital cubes, triangular prisms, square pyramids, and tetrahedra.

查看原文本刊更多论文

用于识别数字约旦曲面的邻接关系

对于每一个正整数，我们在数字空间\({\mathbb {Z}}^3\)中引入一个邻接关系。然后使用所获得的图中的连通性来定义和研究数字乔丹曲面。这些表面是作为包围数字多面体的多面体表面获得的，这些数字多面体可以与数字立方体、三角棱镜、方形金字塔和四面体面对面平铺。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.