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Oblique Mercator Projection differs from the standard Mercator and Transverse Mercator projections by orienting the axis of the projection cylinder obliquely relative to the Earth's rotational axis and equator. This projection is designed to minimize distortion along a specific straight line or great circle, making it well-suited for high-precision representation of regions that are elongated in a diagonal direction. Notable examples of its use include mapping the Alaska Highway, long-distance pipelines, and geological structures that extend diagonally.
The Oblique Mercator Projection is a conformal (angle-preserving) projection based on the Mercator projection. Its most distinctive feature is the ability to rotate the central axis to any azimuth. The reference line is not the equator or a meridian, but rather a user-defined centerline—typically a great circle or geodesic aligned with the main axis of the target area. Along this centerline, scale distortion is minimized, while distortion increases with distance from it. Mathematically, it is defined based on ellipsoidal or spherical models and involves complex rotational transformations and coordinate calculations, requiring advanced geodetic computations for its implementation.
The Oblique Mercator Projection is employed in situations requiring high-precision representation of geographically elongated features in diagonal directions. Representative examples include mapping diagonal transportation infrastructure like the Alaska Highway and analyzing regions where borders, geological structures, or river basins extend diagonally. It is also effective in specialized fields that prioritize directional and angular accuracy, such as the planning and management of long-distance pipelines and power grids, as well as in aeronautical charts and engineering survey maps, playing a crucial role as a high-precision projection tailored to specific regions.
1. Conceptual diagram of the Oblique Mercator Projection.
2. The continents of North and South America depicted using the Oblique Mercator Projection.

Vertical Near-side Perspective Projection
Two-point Equidistant Projection
https://en.wikipedia.org/wiki/Oblique_Mercator_projection
https://pro.arcgis.com/en/pro-app/latest/help/mapping/properties/hotine-oblique-mercator.htm