Two Conformal Projections for Constant-Height Surface to Plane Mapping

Abstract

[EN] Regions at high elevations may require specific mapping solutions other than the conventional ellipsoid-to-grid projections, which produce large discrepancies between ground and projected distances. These particular solutions are known as low-distortion projections (LDPs). They can be realized by using an elevated ellipsoid (EE) or a constant-height surface (ChS) above the ellipsoid as the reference surface, or by means of a scaled projection. No conformal projections have been derived thus far for the ChS-to-plane transformation. This work aims to solve this problem by deriving the formulation of direct and transverse Mercator-type projections for ChS-to-plane conformal mapping.