Practical Applications of Homogeneous Coordinates in Image Transformations Using MATLAB

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Podrobná bibliografie
Vydáno v:	Turkish Journal of Computer and Mathematics Education vol. 16, no. 1 (2025), p. 63
Hlavní autor:	Nazar, Nazar Mohammad
Další autoři:	Samandari, Noormal, Waqar, Ikramullah
Vydáno:	Ninety Nine Publication
Témata:	Robotics Geometric transformation Augmented reality Programming environments Virtual reality Computer vision Image registration Affine transformations Matlab Medical imaging Euclidean space Image processing Computer graphics Euclidean geometry Transformations (Mathematics) Computers
On-line přístup:	Citation/Abstract Full Text - PDF
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Popis
Abstrakt:	Homogeneous coordinates offer a robust mathematical framework for representing and executing geometric transformations in image processing, computer vision, robotics, and computer graphics. By embedding Euclidean space into a higher-dimensional projective space, they provide a unified mechanism for handling affine transformations, such as translation, rotation, scaling, and shear, as well as projective transformations like perspective projection. This study explores the practical applications of homogeneous coordinates within the MATLAB environment, leveraging its matrix manipulation capabilities to implement these transformations efficiently. Homogeneous coordinates simplify complex transformation pipelines through matrix concatenation, enabling seamless execution of combined operations while preserving computational efficiency and accuracy. Key applications demonstrated include image registration, warping, rectification, 3D modeling, and camera calibration, emphasizing their critical role in medical imaging, virtual reality, and augmented reality. MATLAB's intuitive programming environment and advanced visualization tools further enhance the accessibility and applicability of these techniques. This article provides detailed explanations, MATLAB code implementations, and visual demonstrations to bridge the gap between theoretical foundations and real-world applications, making it an invaluable resource for researchers, practitioners, and students in the fields of image processing and computer vision.
ISSN:	1309-4653
DOI:	10.61841/turcomat.v16i1.15087
Zdroj:	Science Database