Scholarlink

<p>The discrete global grid system (DGGS) is a digital Earth reference framework that supports the fusion, analysis, and processing of heterogeneous data from multiple sources. Hexagonal DGGS is suitable for multi-scale data representation, with commercial and theoretical applications. The establishment of a hierarchical structure and design of encoding operations for hexagonal DGGS are vital for improving application efficiency; however, challenges remain in improving the efficiency of coding operations due to a lack of theoretical support for algorithm design. Therefore, this study describes the spatial cognitive equivalence of the hexagonal hierarchical division as a hybrid partition of triangles and hexagons in a <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(T\left(6.3.6.3\right)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>T</mi> <mfenced close=")" open="("> <mn>6.3</mn> <mo>.</mo> <mn>6.3</mn> </mfenced> </mrow> </math></EquationSource> </InlineEquation> grid, establishes a “superimposed” partition model of the aperture-3 hexagonal grid, and proposes a coding mathematical model of finite boundary structure, namely hexagonal hierarchy in a finite boundary (HHFB), which is extended to the rhombic triacontahedron and spherical surfaces. The comparative experimental results show that the proposed scheme has a smooth transition at the tile boundary and avoids complex fractal overlay hierarchy. The HHFB scheme achieves 10-fold improvement in encoding addition efficiency compared to PYXIS, with neighbor query speeds reaching sixfold and 12-fold acceleration at odd and even levels, respectively.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A Novel Method for Constructing Hexagonal Global Hierarchical Encoding Structures Using a Semi-Regular Tiling Model

  • 期刊论文

  • 发表日期：

    2025年9月14日

查看全文
  • Yihang Chen,
  • Qishuang Liang,
  • Jin Ben,
  • Xiaofan Shi,
  • Junjie Ding,
  • Jianbin Zhou

摘要

The discrete global grid system (DGGS) is a digital Earth reference framework that supports the fusion, analysis, and processing of heterogeneous data from multiple sources. Hexagonal DGGS is suitable for multi-scale data representation, with commercial and theoretical applications. The establishment of a hierarchical structure and design of encoding operations for hexagonal DGGS are vital for improving application efficiency; however, challenges remain in improving the efficiency of coding operations due to a lack of theoretical support for algorithm design. Therefore, this study describes the spatial cognitive equivalence of the hexagonal hierarchical division as a hybrid partition of triangles and hexagons in a \(T\left(6.3.6.3\right)\) T 6.3 . 6.3 grid, establishes a “superimposed” partition model of the aperture-3 hexagonal grid, and proposes a coding mathematical model of finite boundary structure, namely hexagonal hierarchy in a finite boundary (HHFB), which is extended to the rhombic triacontahedron and spherical surfaces. The comparative experimental results show that the proposed scheme has a smooth transition at the tile boundary and avoids complex fractal overlay hierarchy. The HHFB scheme achieves 10-fold improvement in encoding addition efficiency compared to PYXIS, with neighbor query speeds reaching sixfold and 12-fold acceleration at odd and even levels, respectively.