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

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.

Keywords

• |we-map|reference frames|spatial direction relation|coordinate system