Scaling in Arundel’s method - 4.27 | 4. Graphical Radial Triangulation | Surveying and Geomatics
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Identifying Control Points

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Teacher
Teacher

Let's begin our exploration of the Arundel method. What do you think is the first step in scaling photographs?

Student 1
Student 1

I think we start by identifying control points on the photographs?

Teacher
Teacher

Exactly! We identify all Ground Control Points or GCPs on the photographs and clearly mark them. Why do you think this step is vital?

Student 2
Student 2

Because GCPs help us reference the actual locations on the ground, right?

Teacher
Teacher

Correct! Accurate GCPs are essential for achieving reliable spatial relationships in our aerial map. Remember: 'GCPs = Ground Truth.'

Transferring Principal Points

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Teacher
Teacher

Now, what comes after identifying the GCPs?

Student 3
Student 3

We need to find the principal points for each photograph!

Teacher
Teacher

Right! The principal points, or PPs, must be determined and then stereoscopically transferred to adjoining photographs. Why do we do this?

Student 4
Student 4

To maintain consistency across the photos for accurate scaling?

Teacher
Teacher

Exactly! Consistent PPs help us align the images correctly. So remember: 'PPs for Perfect Positioning.'

Selecting Control Points

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Teacher
Teacher

Let's discuss minor control points, or MCPs. What criteria do we need to consider when selecting them?

Student 1
Student 1

They should be at the same elevation as the principal point?

Teacher
Teacher

Correct! They should also be positioned equidistant from the principal point and lie on the bisector of the base angle. Can anyone think of why that matters?

Student 2
Student 2

It helps in correcting perspective distortions when we overlay the images?

Teacher
Teacher

Exactly! Accurate selection of MCPs ensures better spatial relationships. Keep that in mind: 'MCPs = Margin of Control Points.'

Drawing Radial Directions

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Teacher
Teacher

After establishing our points, what should we do next?

Student 3
Student 3

Draw radial lines to our control points from the principal point?

Teacher
Teacher

Correct! These radial lines help visualize the relationships among the points. Why do we need that?

Student 4
Student 4

To see how all points connect in relation to each other?

Teacher
Teacher

Precisely! Visualizing the structure aids in better understanding the overall layout. Remember: 'Radials Reveal Relations!'

Introduction & Overview

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Quick Overview

This section details the Arundel method for graphical radial triangulation, emphasizing procedures for scaling photographs in aerial mapping.

Standard

The Arundel method is a graphical technique for radial triangulation crucial for accurately scaling aerial photographs. This section outlines the step-by-step process of selecting control points, transferring measurements, and scaling photographs to ensure geometric consistency across the mapped area.

Detailed

Scaling in Arundel’s Method

In aerial mapping, accurately scaling photographs is essential due to variations in terrain elevation and aircraft flying height. The Arundel method of radial triangulation utilizes simple instruments such as mirror stereoscopes, rulers, and tracing sheets to achieve this.

Key Steps in Arundel’s Method

  1. Identification of Ground Control Points (GCPs): The first step is to lay out photographs and identify all GCPs, marking their numbers accordingly.
  2. Principal Point Transfer: The principal point (PP) for each photograph is determined and stereoscopically transferred to adjoining photographs as conjugate principal points.
  3. Minor Control Points (MCPs): Next, MCPs are selected close to the PP, ensuring they meet specific elevation and distance criteria. These points facilitate better triangulation.
  4. Lateral Control Points (LCPs): Located at lateral overlaps, LCPs connect different strips of photographs, aiding in accurate joining of the images.
  5. Radial Direction Drawing: Radial lines are drawn from the PP to all selected control points on the photograph to visualize their spatial location.
  6. Graphical Triangulation: Scale discrepancies due to elevation differences are corrected using graphical triangulation. The process also includes scaling different strips to bring them to a common scale.

This section highlights the importance of precision in selecting control points and scaling methods, ultimately affecting the accuracy of aerial photogrammetric mapping.

Audio Book

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Introduction to Radial Triangulation

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Graphical radial triangulation is performed with simple instruments, such as mirror stereoscope, a ruler, a pencil and a tracing sheet. The steps are given below:

Detailed Explanation

In Arundel's method of mapping, radial triangulation is used, which is a technique for determining the positions of points from photographs. This method makes use of simple tools like a mirror stereoscope, rulers, and pencils, making it accessible for manual use. The process involves several steps designed for accurate identification and connection of control points.

Examples & Analogies

Imagine using a simple camera to take pictures of a landscape. After capturing the images, you use a ruler and pencil to find the heights of hills and locations of trees on a tracing sheet, similar to how you'd sketch a map while looking at landscape photos.

Identification of Ground Control Points (GCPs)

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  1. The photographs are laid out in strips and all GCPs are identified on the photographs and their numbers marked on the photographs.

Detailed Explanation

The first step in the radial triangulation process involves organizing the photographs into strips. Ground control points (GCPs) are critical locations on the ground whose coordinates are known. These points are identified on each photograph and marked with numbers. This allows for precise reference when aligning the photos.

Examples & Analogies

Think of this like indexing chapters in a book where each chapter represents a photograph. By labeling key pages (GCPs) you can quickly find important information when creating an overall picture of the story.

Finding the Principal Point

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  1. The principal point is obtained for each photograph. The principal points are then stereoscopically transferred to the adjoining photographs as conjugate principal points.

Detailed Explanation

The principal point in a photograph is the central point from which all measurements are made. Once the principal point is identified, it can be transferred to adjacent photographs to create a conjugate principal point. This ensures that the images are aligned accurately with one another.

Examples & Analogies

Imagine taking a picture and then trying to take another photo next to it. By marking the center of the first photo, you can easily align the second, ensuring they fit together like pieces of a puzzle.

Selecting Minor Control Points (MCPs)

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  1. Now two points, called minor control points (MCPs), also called pass points or wing points, are selected on both sides of the principal point of photo, at about 2 cm from the upper and lower edge of the photograph, fulfilling the following conditions: a. The two points should be as nearly at the same elevation as the principal point. b. The points should be at a distance from the principal point, which is equal to twice the mean base of the adjoining photographs. c. The points should lie approximately on the bisector of the base angle on either side, and d. The point should serve as lateral point as well.

Detailed Explanation

In selecting minor control points (MCPs), specific criteria must be followed to ensure accurate mapping. The MCPs are selected close to the principal point in accordance with elevation, distance from the principal point, and angular considerations. This careful selection helps to maintain a uniform scale across the photographs.

Examples & Analogies

Consider these MCPs as markers on a running track that indicate key distances. You want them placed at equal intervals (distance from the principal point) and at the same level on the track (elevation) to ensure everyone runs the same race.

Transferring Control Points

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  1. The MCPs are selected and transferred stereoscopically to adjoining photographs.

Detailed Explanation

Once the minor control points have been chosen, they need to be transferred to the adjacent photographs using a stereoscopic method. This technique creates a three-dimensional effect that allows for accurate placement of the MCPs in relation to the photographs.

Examples & Analogies

Imagine creating a 3D model of a building by taking multiple photos and sketching on top. Transferring MCPs is like accurately projecting one layer of your model onto another so they align perfectly.

Lateral Control Points (LCPs)

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  1. The lateral control points (LCPs) are selected in the centre of lateral overlaps of adjacent strips to serve as connecting points between different strips. These LCPs are selected at least at the beginning and the end of the strip and on every third photo of the strip. These are then stereoscopically transferred to photographs of adjoining strips.

Detailed Explanation

Lateral control points (LCPs) act as connection points between different strips of photographs. These points are strategically chosen to ensure that a coherent map can be built by connecting segments properly. The LCPs are located in areas where photographs overlap.

Examples & Analogies

Think of lateral control points as the junctions in a railway system where two train lines meet. These junctions help ensure that trains can move smoothly from one track to another without losing direction.

Creating Radial Directions

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  1. The radial directions from the principal point to all minor control, lateral control and ground control points appearing on the photograph are drawn, through the points.

Detailed Explanation

In this step, lines (radials) are drawn from the principal point to all identified control points. This helps in visualizing the relationship between these points and positions them accurately on the photographs. Once completed, it aids in understanding the scale and layout of the area being mapped.

Examples & Analogies

Imagine drawing lines on a map from a central park (principal point) to various landmarks (control points). This not only shows distances but also helps you see the layout of the city in relation to the park.

Uniform Scale Adjustment

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Due to elevation differences of terrain and variations in the flying height of aircraft, the scale of photographs generally varies considerably. The photographs of a strip are required to be brought to a common scale through graphical triangulation.

Detailed Explanation

Background differences such as terrain elevation and aircraft flying height lead to variations in photo scale. Therefore, it is crucial to adjust these photographs to a common scale, which is achieved using graphical triangulation.

Examples & Analogies

Imagine trying to fit together puzzle pieces of different sizes; scaling brings them to the same size so they can fit perfectly, ensuring the final image is coherent.

Plotting and Drawing the Images

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Each strip is plotted on a transparent sheet to facilitate the drawing. The photographs are laid out in their correct relative directions so that the plotting is carried out in the right direction.

Detailed Explanation

Plotting photographs on a transparent sheet allows the cartographer to accurately trace and draw over the images, maintaining their correct orientation. This step is essential for aligning all photographs correctly before finalizing the map.

Examples & Analogies

Think of this step as using tracing paper to overlay your favorite design. By following the lines accurately, you ensure that your final piece looks as intended without mistakes in alignment.

Ensuring Accuracy Through Scaling

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The scale is then carried out by plotting the actual distance AB between the two ground control points, between which the scaling is to be done, on a straight line drawn on a separate sheet.

Detailed Explanation

In this critical step, the actual distances between ground control points are measured and plotted, establishing a reliable scale for the entire map. This ensures that all elements are to the same proportion and can be accurately referenced.

Examples & Analogies

It's like measuring the length of a table (AB) to ensure that when you draw its representation on paper, it reflects the same length proportionately, making the drawing realistic.

Final Adjustments

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After scaling all the points of minor control plots, these points are pricked through the tracing sheet. The positions of principal points, minor control points and lateral control points of all the strips are likewise pricked on the graph sheet and adjusted...

Detailed Explanation

Final adjustments ensure that all control points are accurately aligned on the graph sheet. The process involves pricking points through the tracing sheets to leave imprints, allowing adjustments to minimize any errors that may have occurred.

Examples & Analogies

Think of this as finalizing a layout for a garden. After marking where each flower should go, you may need to tweak their positions slightly to ensure they look good together—this is what these adjustments do for the mapping process.

Definitions & Key Concepts

Learn essential terms and foundational ideas that form the basis of the topic.

Key Concepts

  • Ground Control Points (GCPs): Essential for mapping accuracy as they represent known locations on the ground.

  • Principal Point (PP): Serves as the reference point for scaling and linking images.

  • Radial Lines: Visual aids in understanding how different control points relate spatially.

Examples & Real-Life Applications

See how the concepts apply in real-world scenarios to understand their practical implications.

Examples

  • An example of selecting GCPs would be marking intersections of roads in aerial photographs, where the exact coordinates are known.

  • Using principal points to harmonize multiple photographs, ensuring their edges match up as intended.

Memory Aids

Use mnemonics, acronyms, or visual cues to help remember key information more easily.

🎵 Rhymes Time

  • GCPs to locate, PP to correlate, radial lines illustrate!

📖 Fascinating Stories

  • Imagine you're a pilot planning a map; GCPs are your landmarks, like signs on a road guiding you to your destination. The PP is your radar's center, and the radial lines connect all your choices smoothly for an accurate map.

🧠 Other Memory Gems

  • Remember GCP, PP, and MCP: 'Ground maps, Principal align, Minor connect!'

🎯 Super Acronyms

GPM - Ground Points, Major Points, Minor Connections.

Flash Cards

Review key concepts with flashcards.

Glossary of Terms

Review the Definitions for terms.

  • Term: Ground Control Points (GCPs)

    Definition:

    Markings on photographs that correspond to known positions on the ground, used as references in aerial mapping.

  • Term: Principal Point (PP)

    Definition:

    The central point of a photograph, crucial for aligning images and maintaining consistent geometry.

  • Term: Minor Control Points (MCPs)

    Definition:

    Secondary points close to the principal point that assist in ensuring accurate scaling and alignment.

  • Term: Radial Lines

    Definition:

    Lines drawn from a principal point to various control points to visualize spatial relationships in photographic mapping.

  • Term: Graphical Triangulation

    Definition:

    A method for adjusting the scale of aerial photographs to achieve uniformity across different images.