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Definition
The goal of affine registration is to find the affine transformation that best maps one data set (e.g., image, set of points) onto another.
Background
In many situations data is acquired at different times, in different coordinate systems, or from different sensors. Such data can include sparse sets of points and images both in 2D and 3D, but the concepts generalize also to higher dimensions and other primitives. Registration means to bring these data sets into alignment, i.e., to find the “best” transformation that maps one set of data onto another, here using an affine transformation. For the sake of brevity, in this entry only the registration of two data sets is discussed, although approaches exist for finding consistent transformations that align more than two sets at once (e.g., [1]). While intuitively in 1D affine transformations compensate for scale and offset, in any dimension they can...
References
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Köser, K. (2021). Affine Registration. In: Computer Vision. Springer, Cham. https://doi.org/10.1007/978-3-030-03243-2_122-1
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DOI: https://doi.org/10.1007/978-3-030-03243-2_122-1
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