hogelatitude

Hogelatitude is a fictional coordinate concept used in holographic geolocation and light-field rendering to describe the elevation of a point relative to a holographic reference plane. The term blends holography with latitude, signaling its role as an angular measure on a notional spherical projection of a holographic scene. It is primarily discussed in theoretical or experimental discussions of holographic imaging systems and is not a standard geospatial datum in real-world practice.

Definition and calculation

In a Cartesian system with the holographic origin at the center of the hologram and the optical axis aligned with the z-axis, the hogelatitude φ is defined as φ = arcsin(z / r), where r = sqrt(x^2 + y^2 + z^2). This yields a unitless angle expressed in degrees when converted (φ_deg = φ × 180/π). The valid range is from −90 degrees to +90 degrees, corresponding to points on the opposite ends of the optical axis. Hogelatitude is typically considered together with hogelongitude to specify a point on a notional holographic sphere.

Applications and status

Hogelatitude is discussed as a theoretical construct in discussions of holographic projection, 3D reconstruction, and advanced light-field rendering. In practice, systems may map hogelatitude to conventional elevation angles or use alternative representations for compatibility with standard 3D coordinates. The concept serves to frame how a holographic system might encode angular position of scene elements relative to the hologram plane.

See also

Latitude, Elevation angle, Holography, Light-field rendering.