Cyberspace Coordinate System Using Hilbert Mapping for 3D Visualization
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Solution Overview
Problem
Current research lacks a comprehensive and intuitive method to express and visualize cyberspace due to the limitations of conventional geographic and topological coordinate systems, which cannot effectively represent multi-dimensional information in cyberspace.
Innovation Solution
A cyberspace coordinate system creation method based on an Autonomous System (AS) using the Hilbert mapping algorithm to transform one-dimensional AS Numbers into two-dimensional coordinates, orthogonalizing IP address allocation sequences as a third-dimension, and constructing a three-dimensional coordinate system to visualize network topology and hierarchical structures.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If conventional geographic coordinate system or network topology coordinate system is used, then single-dimensional information (geographic characteristic or topological relationship) can be expressed, but multi-dimensional cyberspace information cannot be comprehensively expressed
Solution Approach 1:
The patent transforms the one-dimensional AS Number into a two-dimensional coordinate system using Hilbert mapping algorithm, and further extends to three-dimensional space by incorporating IP address allocation sequences. This dimensional transformation enables comprehensive expression of multi-dimensional cyberspace information including AS topology, IP address composition, network resource elements, and hierarchical structures, while maintaining spatial relationships and adjacency properties through the mathematical mapping.
2Adaptability or versatility
If existing coordinate systems are used for cyberspace mapping, then mapping to other spaces can be achieved, but a unified and constant backboard for comprehensive cyberspace expression cannot be provided
Solution Approach 1:
The patent creates a universal cyberspace coordinate system that can simultaneously express multiple dimensions of cyberspace information including AS topology relationships, IP address compositions, network resource elements, and hierarchical structures. The system serves multiple functions: visualization of cyberspace scenarios, security attack analysis, network management, and provides a unified backboard for comprehensive cyberspace expression without losing multi-dimensional information.
3Ease of operation
If conventional mapping methods are used, then simple geographic or topological characteristics can be visualized, but multi-dimensional network scenarios cannot be effectively visualized
Solution Approach 1:
The patent employs Hilbert mapping algorithm to transform one-dimensional AS Numbers into two-dimensional coordinates, preserving spatial adjacency and topological relationships. The system further extends to three-dimensional visualization by incorporating IP address allocation sequences as the third dimension. This enables effective visualization of multi-dimensional network scenarios including security attacks, network management situations, and hierarchical structures while maintaining ease of operation through intuitive spatial representation.
Data Source
AI summary
A cyberspace coordinate system creation method and apparatus based on an autonomous system is provided. The method includes: determining a cyberspace coordinate system; constructing a framework for a three-dimensional cyberspace coordinate system; constructing a cyberspace map model based on the cyberspace coordinate system and the framework for the three-dimensional cyberspace coordinate system; and designing an application scenario corresponding to a constructed cyberspace map model, and performing visualization processing on the application scenario. The method may realize the visualization of multi-dimensional information of cyberspace based on a unified and constant backboard, e.g., an Autonomous System (AS) topology, an Internet Protocol (IP) address composition, network resource element information, a hierarchical structure, and the like, and is suitable for visualization of a number of security attacks on the cyberspace and network management scenarios.