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Copyright © John Lindsay, 2015

GEOG*2420

The Earth From Space


Photogrammetry Part 2



John Lindsay
Fall 2015

Scale Calculation: Method 1

  • Measure the distance between two points on the image and divide by the corresponding ground distance between the same two points.

Scale Calculation: Method 1

image scale (From: Mersey)

A working example:

  • Measured a photo dist (PD) = 0.15 m
  • Measured a ground dist (GD) = 5000 m
  • Scale = PD / GD = 1 / PSR
  • PSR = GD / PD = 5000 m / 0.15 m
  • PSR = 33,333
  • Scale (as a RF) = 1 : 33,333

A working example:

  • What if you don't have the original photo but do know the grid resolution (m / pixel)?

  • Ground dist = grid resolution × #pixels

  • (m / pixel) × pixel = m

Scale Calculation: Method 2

  • Divide the focal length (f) by the flying height of the aircraft above the terrain, H.

  • H is calculated by subtracting the ground elevation (E) from the altimeter reading (A), which indicates flying height above sea level.

Scale Calculation: Method 2

image scale (From: Mersey)

Elevation and photo scale

image scale (From: Mersey)

Flying height and photo scale

image scale (From: Mersey)

Focal length and photo scale

image scale (From: Mersey)

Measuring heights

image scale

Methods for measuring vertical heights

  • Single-photo methods

  • Stereo-pair or parallax methods (two images required)

Single-photo method 1:
Sun-angle shadow method

measuring heights
measuring heights

Single-photo method 2:
Proportional Shadow Length method

measuring heights

Single-photo method 2:
Proportional Shadow Length method

measuring heights (From: Jensen, 2007)

Single-photo method 2:
Proportional Shadow Length method

  • The shadow must fall on level ground

  • The full shadow length must be visible including its beginning (which is often obscured by the object itself!)

Single-photo method 3:
Relief-displacement method

measuring heights (From: Jensen, 2007)
d = relief displacement
r = radial distance from top of object to the principal point
d is related to r, flying height (H) and the height of the object (h).

Single-photo method 3:
Relief-displacement method

measuring heights (From: Jensen, 2007)