Correcting Geometric Distortion using Mapping Functions and Control Points | Lecture | Part - 9

In this enlightening lecture, we delve into a powerful and widely used method for rectifying errors in geometry, as well as aligning images with maps. Departing from the mathematical modelling approach discussed previously, this technique hinges on two key prerequisites. Firstly, we rely on a geometrically accurate map of the region, reasonably scaled to our target image. Secondly, the identification of control points in both the map and image enables us to establish mathematical ties between the two.
Discover the potency of this method as we construct mathematical equations that link corresponding points in the image and map, leveraging control points as our anchor. Through a step-by-step breakdown, we illustrate how these equations facilitate the seamless transition between map and image coordinates, effectively rectifying any discrepancies.
Explore the intricacies of employing polynomial functions, particularly of varying degrees, to map grid positions from the map to the image. Witness the significance of control points in determining the coefficients of these polynomials, ensuring accurate transformations.
Moreover, we delve into practical considerations, including the determination of coefficients and the precise projection of map grid positions onto image pixels. Learn how the judicious selection of control points, often exceeding the minimum required, contributes to robust coefficient estimation and minimizes undue influence from outliers.
Join us as we demystify the process of relating map points to their image counterparts, laying the groundwork for a forthcoming example. Plus, ponder over the intriguing question of curve fitting, contemplating whether a simple straight line can outperform a complex cubic polynomial.
Dive deep into the world of geometric correction and image registration in this illuminating lecture. Subscribe now and embark on a journey of spatial transformation and precision engineering!
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Introduction to Remote Sensing (Theoretical Lecture)
Part 1 | A Comprehensive Guide to Remote Sensing Image Acquisition, Analysis, and Real-World Applications
• A Comprehensive Guide ...
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Part 2 | Understanding Earth's Atmosphere: A Key to Remote Sensing 🛰️
• 🌍 Understanding Earth'...
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Part 3 |Types of Platforms for Imaging the Earth’s Surface
• Introduction to Remote...
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Part 4 | How do we record images of the Earth's surface
• Introduction to Remote...
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Part 5 | What are we trying to Measure in the Earth's Surface
• What are we trying to ...
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Part 6 | Distortions in Recorded Satellite Images | Part 6
• Introduction to Remote...
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Part 7 | Geometric Distortions in Recorded Images
• Introduction to Remote...
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Part 8 | Correcting Geometric Distortion in the Image
• Introduction to Remote...
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Part - 9 | Correcting Geometric Distortion using Mapping Functions and Control Points
• Correcting Geometric D...
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Part 10 | Introduction to Resampling Techniques
• Introduction to Remote...
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