GISBox

Web Mercator (Pseudo Mercator, EPSG:3857)

GISBox is a one-stop 3D GIS data editing, conversion and publishing platform that supports editing in multiple GIS formats such as OSGB/GEOTIFF/RVT, converting to 3DTiles/Terrain and publishing.

Introduction

Pseudo Mercator projection is a sphere-based conformal cylindrical projection. It converts longitude and latitude coordinates into plane rectangular coordinates by approximating the earth as a sphere and using a tangent cylindrical projection. It is widely used in global Web map services (such as Google Maps and OpenStreetMap) and supports seamless splicing and layered tile loading.

Projection Basics

  • Projection method: Pseudo-Mercator projection is based on the conformal cylindrical projection principle of Mercator projection, but it is simplified.
  • Earth model: The earth is regarded as a perfect sphere (not an ellipsoid), and the radius is the major semi-axis of the WGS84 ellipsoid, 6,378,137 meters.
  • Coordinate system: The projected plane coordinate system is in meters, with the X axis corresponding to longitude and the Y axis corresponding to latitude.

Pros

  1. Computational efficiency: Simplify the earth into a sphere, simplify coordinate conversion and projection calculation, and adapt to the real-time rendering requirements of Web maps.
  2. Directional consistency: Maintain the equiangular characteristics to ensure that the azimuth of any point on the map is consistent with the actual geographical orientation, suitable for navigation applications.
  3. Global seamless stitching: Supports seamless stitching and smooth scaling of global maps, and adapts to layered tile map technology.
  4. Standardization support: Adopts EPSG:3857 standard, compatible with mainstream Web map services and GIS platforms.

Cons

  1. High-latitude deformation: The higher the latitude, the more serious the area deformation, and the polar regions cannot be effectively displayed.
  2. Distance and area distortion: As the latitude increases, the actual distance and area are exaggerated, which is not suitable for accurate measurement.
  3. Ellipsoid approximation error: Ignoring the ellipsoid shape of the earth, there is a certain loss of accuracy in coordinate conversion.
  4. **Polar region restrictions: **Areas with latitudes exceeding ±85.05° cannot be projected and need to be cropped or specially processed.

Application Scenario

Suitable for fast rendering of global web maps, interactive map applications and online geographic information services.

Example

  1. Web Mercator example.

  1. Web Mercator projection in software.

Related GIS Projections

Mercator Projection

Gauss–Krüger Projection

Transverse Mercator Projection

UTM

References

  1. https://en.wikipedia.org/wiki/Web_Mercator_projection
  2. https://epsg.io/3857
  3. https://proj.org/en/stable/operations/projections/webmerc.html