Four-Parameter Model for WGS84 to BJ54 Coordinate Transformation

The Four-Parameter Model for WGS84 to BJ54 coordinate transformation is a widely-used geodetic conversion method. This computational model operates based on four key parameters and coordinate transformation algorithms. It enables the conversion of geographic coordinates from the WGS84 coordinate system to the BJ54 coordinate system. The method requires calculation of four transformation parameters: translation parameters (ΔX, ΔY), rotation angle, scale factor, and elevation correction. These parameters define the spatial relationship between the two coordinate systems through a mathematical transformation matrix. In code implementation, this typically involves matrix operations using linear transformation equations: [X₂, Y₂]ᵀ = μ·R(θ)·[X₁, Y₁]ᵀ + [ΔX, ΔY]ᵀ, where μ represents the scale factor, R(θ) is the rotation matrix, and [ΔX, ΔY] are translation components. This approach provides more accurate measurement and positioning of various geographical phenomena such as terrain features, elevation data, and climatic patterns. Additionally, it serves as a crucial technical methodology for navigation systems, cartographic applications, and remote sensing implementations where coordinate system interoperability is required.