Abstract
This chapter presents examples of two- and three-dimensional transformations which are extensions of their 1D counterparts. At first, the two-dimensional Fourier transformation in Cartesian coordinates is introduced and its properties are derived by affine mappings. Then follows the Fourier transformation in polar coordinates, Hankel and Radon transformation, and finally Fourier transformation in spherical coordinates.
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Rabenstein, R., Schäfer, M. (2023). Multidimensional Transformations. In: Multidimensional Signals and Systems. Springer, Cham. https://doi.org/10.1007/978-3-031-26514-3_6
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DOI: https://doi.org/10.1007/978-3-031-26514-3_6
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