QUESTION

SIMULTANEOUS INDEPENDENT MODEL TRIANGULATION

1. Determine the number of Unkowns Quantities

2. Determine the number of Observed Quantities

ANSWER

Assumed That:

1. Model Scale is Constant

2. Forward Overlap is more than 50%

3. Side Overlap is more than 20%

4. Good Pass Point distribution

The Unknown Quantities

1. Scale, Rotational of Axes, Translation

4 Models

7 Quantities of each model (λ, ω, φ, К, x, y, z)

= 7 Quantities X 4 Models = 28 Quantities

2. Ground Coordinate of Pass Point

15 Pass Point

3 Quantities of each point (x, y, z)

= 3 Quantities X 15 Pass Point = 45 Quantities

3. Ground Coordinate of Pass Point

6 Exposure Station Point

3 Quantities of each point (x, y, z)

= 6 Quantities X 6 Exposure Station Point = 8 Quantities

Total Unknown Quantities = 28 + 45 + 8

= 81 Quantities

The Measured Quantities

1. Model Coordinates of Pass Point

15 Past Points

3 Quantities in each point (x, y, z)

= 3 Quantities X 15 Past Points = 45 Quantities

2. Model Coordinates of Perspective Center Point

6 Exposure Station Point

3 Quantities in each point (x, y, z)

= 3 Quantities X 8 Exposure Station Point = 24 Quantities

3. Model Coordinates of Ground Control Points

4 GCP

3 Quantities in each point (x, y, z)

= 3 Quantities X 4 GCPs = 12 Quantities

Total Observed Quantities = 45 + 24 + 12

= 81 Quantities