Defining the We-map Reference Frames and Providing Mathematical Expressions for Transformation Relations

doi:10.11947/j.JGGS.2024.0305

Journal of Geodesy and Geoinformation Science ›› 2024, Vol. 7 ›› Issue (3): 76-88.doi: 10.11947/j.JGGS.2024.0305

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Defining the We-map Reference Frames and Providing Mathematical Expressions for Transformation Relations

WANG Xiaolong¹^,²(), YAN Haowen³^,⁴^,⁵(), WANG Zhuo⁶, MA Wenjun³^,⁴^,⁵, YU Yitao³^,⁴^,⁵

1. College of Earth and Environmental Sciences, Lanzhou University, Lanzhou 730000, China
2. Key Laboratory of Western China's Environmental Systems, Ministry of Education, Lanzhou 730000, China
3. Faculty of Geomatics, Lanzhou Jiaotong University, Lanzhou 730070, China
4. National-Local Joint Engineering Research Center of Technologies and Applications for National Geographic State Monitoring, Lanzhou 730070, China
5. Gansu Provincial Key Laboratory of Science and Technology in Surveying & Mapping, Lanzhou 730070, China
6. School of Resource and Environmental Sciences, Wuhan University, Wuhan 430072, China

Published:2024-09-25 Online:2024-09-23
Contact: YAN Haowen E-mail:120220909881@lzu.edu.cn;yanhw@mail.lzjtu.cn
About author:WANG Xiaolong, PhD student, majors in We-map. E-mail: 120220909881@lzu.edu.cn.
Supported by:
Industrial Support and Program Project of Universities in Gansu Province(2022CYZC-30);National Natural Science Foundation of China(42430108);National Natural Science Foundation of China(41930101);China Scholarship Council(202306180085)

Abstract

Abstract:

We-map is an interactive mobile map that can be easily communicated and applied on personal electronic devices, such as personal computers and mobile phones. Therefore, the study of direction systems and coordinate systems is critical, and exploring reference frames is essential in direction and coordinate systems. Despite its significance, existing research on We-map lacks specific solutions for the exploration of reference frames is indispensable for the establishment of accurate direction and coordinate systems. In this paper, we endeavor to address this gap by elucidating the significance of We-map reference frames, defining them with mathematical constraints, summarizing their nature and characteristics, deriving their transformation relationships and representing them through mathematical formulars and equations. Our work contributes to the fundamental theory of We-map and provides valuable systems and support for the mathematical foundation of We-map, map production, and platform development. Ultimately, this research serves to advance the development of We-map.

Key words: We-map; reference frames; spatial direction relation; coordinate system

WANG Xiaolong, YAN Haowen, WANG Zhuo, MA Wenjun, YU Yitao. Defining the We-map Reference Frames and Providing Mathematical Expressions for Transformation Relations[J]. Journal of Geodesy and Geoinformation Science, 2024, 7(3): 76-88.

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Defining the We-map Reference Frames and Providing Mathematical Expressions for Transformation Relations

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