Case Studies: Photogrammetry & GIS Concepts

Case Study 1: Understanding Stereoscopic Coverage

Example

A photogrammetric mapping firm is hired to create a highly detailed 3D topographic map of a mountainous region. The pilot plans a flight path to take a series of overlapping aerial photographs.
Explain why the photographs must overlap (both forward overlap and side-lap), what percentage is typically required, and how the concept of stereoscopic vision allows the firm to extract 3D elevation data from 2D images.

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Case Study 2: Choosing a GIS Data Model (Raster vs. Vector)

Example

A city planner is developing a new municipal GIS database and must decide how to store two specific datasets:
  1. A map of the city's underground water pipe network, including the exact location of every valve and fire hydrant.
  2. A continuous map of the city's surface elevation (a Digital Elevation Model, DEM).
Recommend whether each dataset should be stored using a Vector data model or a Raster data model, and justify the choice.

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Solved Problems: Photogrammetric Computations

Problem 1: Calculate Photo Scale (Basic)

Example

An aerial photograph is taken with a camera having a focal length (ff) of 152 mm152 \text{ mm}. The flying height (HH) of the aircraft is 3500 m3500 \text{ m} above mean sea level (MSL). The terrain being photographed is perfectly flat at an average elevation (hh) of 460 m460 \text{ m} above MSL.
Calculate the exact scale (SS) of the photograph at that terrain elevation.

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Problem 2: Calculate Flying Height from Ground Distance (Intermediate)

Example

Two distinct road intersections, A and B, are visible on an aerial photograph. The distance between the two intersections measured directly on the photograph (dd) is 8.45 cm8.45 \text{ cm}. The true ground distance (DD) between the two intersections is 1200 m1200 \text{ m}. The camera's focal length (ff) is 152.4 mm152.4 \text{ mm}. Both intersections lie at an average elevation (hh) of 250 m250 \text{ m} above MSL.
Determine the flying height (HH) of the aircraft above MSL.

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Problem 3: Height from Relief Displacement (Advanced)

Example

On a truly vertical aerial photograph, a tall radio tower appears to lean outward from the center (principal point) of the photo due to relief displacement.
  • The radial distance from the principal point to the bottom (base) of the tower is r=75.00 mmr = 75.00 \text{ mm}.
  • The radial distance from the principal point to the top of the tower is 82.50 mm82.50 \text{ mm}.
  • The flying height of the aircraft above the base of the tower (HhbaseH - h_{base}) is 1500 m1500 \text{ m}.
Calculate the relief displacement (dd) and use it to determine the true vertical height (htowerh_{tower}) of the radio tower.

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