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Photogrammetry

Definition and types of photogrammetry (terrestrial, aerial, close-range, UAV); aerial photographs — vertical, tilted and oblique; aerial camera and photograph terms (fiducial marks, principal point, nadir, isocentre); scale of vertical photographs; relief displacement and height determination; tilt displacement; stereoscopy — overlap, stereoscopes, parallax and parallax equations; flight planning — flying height, air base, number of photographs and strips, exposure interval; mosaics, orthophotos, radial line method, stereoplotters, aerotriangulation and digital photogrammetry; applications — with solved numericals.

📑 Contents (10 sections)

Last reviewed 16 Sept 2026 · 9 min read

Photogrammetry

Photogrammetry is the science and technology of obtaining reliable measurements, maps and 3D information of objects and terrain from photographs (and digital images).

Types

Type Description
Terrestrial photogrammetry Photographs taken from fixed ground stations with phototheodolites — cliffs, quarries, buildings
Aerial photogrammetry Photographs taken from aircraft — topographic mapping of large areas
Close-range photogrammetry Objects at short distances — architecture, heritage, industrial measurement, deformation
UAV (drone) photogrammetry Low-altitude images from unmanned aerial vehicles processed by structure-from-motion software — rapid mapping of sites, mines, corridors
Satellite photogrammetry Stereo satellite images (e.g. Cartosat) for DEMs and maps

Aerial photographs

Type Tilt of camera axis Features
Vertical photograph Camera axis vertical (tilt less than about 3° — "near vertical") Scale nearly uniform on flat ground; used for mapping
Tilted photograph Unintentional tilt of a few degrees Scale varies across the photo
Low oblique Camera axis inclined; horizon not visible Pictorial views
High oblique Camera axis highly inclined; horizon visible Reconnaissance, large coverage

Terms

  • Aerial camera — high-quality lens (e.g. focal length of about 150 mm for wide-angle mapping cameras), traditional film format 23 cm × 23 cm, now digital aerial cameras.
  • Fiducial marks — marks on the edges or corners of the photograph whose lines join at the principal point.
  • Principal point (p) — foot of the perpendicular from the lens centre to the photo plane.
  • Nadir point (plumb point, n) — point vertically below the lens centre on the photograph.
  • Isocentre (i) — point on the photograph bisecting the angle between the principal point and nadir; relevant for tilt displacement.
  • In a truly vertical photograph, principal point, nadir and isocentre coincide.
  • Flying height — altitude of the camera above datum (MSL).

Scale of a vertical photograph

FormulaPhoto scale

= focal length; = flying height above datum; = elevation of the ground point above datum.

Average scale:

Scale can also be found as photo distance ÷ corresponding ground distance, or map distance comparison.

Because ground elevations vary, the scale of a vertical photograph of hilly terrain varies from point to point (larger scale for higher ground).

Relief displacement

On a vertical photograph, objects above or below the datum are displaced radially from the nadir (principal) point — tops of tall objects appear displaced outward relative to their bases.

FormulaRelief displacement

= relief displacement on the photo; = radial distance from the principal point to the displaced (top) image point; = height of the object above the datum (or its base); = flying height above the same datum.

Height of an object:

  • Displacement is zero at the principal point and increases towards the edges.
  • It increases with object height and decreases with flying height.
  • Relief displacement enables height measurement from single photographs but distorts planimetric positions, which must be corrected (orthophotos).

Tilt displacement — occurs in tilted photographs, radial from the isocentre; points on the upper side of the photo are displaced inward and on the lower side outward.

Stereoscopy

Overlap

  • Forward overlap (end lap) — overlap between successive photographs along a flight strip — commonly about 60% — enables stereoscopic viewing (each ground point appears in at least two photos).
  • Side lap — overlap between adjacent strips — commonly about 25–30% — ensures no gaps and allows strip connection.
  • Increased overlaps are used in mountainous terrain and for digital photogrammetry.

Stereoscopic vision and stereoscopes

A pair of overlapping photographs (stereo pair) viewed so that each eye sees one photograph produces a 3D (stereoscopic) model.

  • Lens (pocket) stereoscope — simple, portable, small photo separation.
  • Mirror stereoscope — mirrors allow full photographs to be viewed with magnification.
  • Digital photogrammetric workstations use polarised or shutter glasses.

Parallax

Absolute stereoscopic parallax of a point = the difference in x-coordinates (along the flight line) of its images on the two photos: . Parallax increases with ground elevation (points closer to the camera).

FormulaParallax equations

Height (elevation) from parallax:

( = air base — ground distance between exposure stations.)

Difference in elevation between points A and B using measured parallax difference (e.g. with a parallax bar):

When A is on the datum and ≈ photo base : .

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