Description: The transformation matrix X is used to apply transformations to images in computer vision. This matrix is fundamental in image processing, as it allows for operations such as rotation, scaling, translation, and reflection of images. Mathematically, the transformation matrix X is a 3×3 matrix that operates in homogeneous coordinates, which facilitates the combination of multiple transformations into a single operation. By using homogeneous coordinates, the transformation of a point in 2D space can be represented by multiplying the transformation matrix by a coordinate vector. This simplifies the calculation and implementation of complex transformations, as multiple transformation matrices can be concatenated into a single resulting matrix. The transformation matrix X is essential in applications of computer vision, computer graphics, and robotics, where precise manipulation of images and objects is crucial. Its ability to combine different types of transformations into a single operation makes it a powerful tool for developers and researchers in the field of visual technology.
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