天津科技 ›› 2025, Vol. 52 ›› Issue (06): 25-29.

• 基础研究 • 上一篇    下一篇

拓扑地图模型中的几何运算方法研究

张为苗1, 张其斌2,*, 令桂莲3, 运科3, 王娜1   

  1. 1.甘肃省计算中心 甘肃兰州 730030;
    2.甘肃省高新技术创业服务中心 甘肃兰州 730030;
    3.兰州乾元生态科技有限公司 甘肃兰州 730030
  • 收稿日期:2025-05-09 出版日期:2025-06-25 发布日期:2026-01-06
  • 通讯作者: *
  • 基金资助:
    甘肃省科技小巨人企业培育计划“‘林智通®'自然资源综合调查系统的研发及应用”(20CX9JA126)

Research on geometric operations in topological map models

ZHANG Weimiao1, ZHANG Qibin2,*, LING Guilian3, YUN Ke3, WANG Na1   

  1. 1. Gansu Computing Center,Lanzhou 730030,China;
    2. Gansu Provincial High-tech Entrepreneurship Service Center,Lanzhou 730030,China;
    3. Lanzhou Qianyuan Ecological Technology Co.,Ltd.,Lanzhou 730030,China
  • Received:2025-05-09 Online:2025-06-25 Published:2026-01-06

摘要: 提出一种基于拓扑地图模型的空间几何运算框架,通过定义几何交、并、差运算的拓扑转换规则,重构运算结果的图形表达,并设计多维度验证系统,以评估该方法的有效性和计算效率。结果表明,与传统Delaunay三角剖分算法相比,所提方法在交运算中的执行时间缩短35%,内存占用减少42%。基于数据运行调控、多视图交互及计算机视觉技术,构建验证系统,新方法的科学性和实用性得到了多角度验证。

关键词: 空间几何运算, 拓扑地图模型, 拓扑关系运算, 验证系统

Abstract: This study proposes a spatial geometric operation framework based on topological map models. By defining topological transformation rules for geometric intersection,union,and difference operations,the graphical representation of the operation results is reconstructed,and a multidimensional verification system is designed to evaluate the effectiveness and computational efficiency of the method. The experimental results show that compared with the traditional Delaunay triangulation algorithm,the proposed method reduces the execution time by 35% and memory usage by 42% in the intersection operation. Through data operation regulation,multi view interaction,and computer vision technology,a verification system was constructed,and the scientificity and practicality of the new method was verified from multiple perspectives.

Key words: spatial geometric operations, topological map model, topological relation operation, verification system

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