Description: Obtaining Affine Transformation refers to the process of calculating the matrix that allows transforming a set of points into another set of points through an affine transformation. This transformation includes operations such as translation, rotation, scaling, and reflection, and can be mathematically represented using matrices. To calculate this matrix, at least three pairs of corresponding points are required: each pair consists of a point in the original space and its image in the transformed space. The resulting matrix allows applying the transformation to any other point in space, thus facilitating the manipulation of geometric figures in various applications. Affine transformation is fundamental in fields such as computer graphics, computer vision, and robotics, where it is necessary to modify the position and shape of objects in both digital and physical environments. The ability to represent these transformations using matrices simplifies calculations and allows for efficient execution of complex operations. In summary, obtaining affine transformation is a key process in computational geometry that enables precise manipulation of figures and objects in multiple contexts.
