Computational and Mathematical Methods in Medicine / 2013 / Article / Fig 1

Research Article

Rotation Covariant Image Processing for Biomedical Applications

Figure 1

A spherical harmonic decomposition of images can be seen as some kind of frequency decomposition. A band limited expansion of a volumetric images is illustrated. We see that lower frequency components (right-hand side) are roughly representing the important characteristics of the objects. However, higher frequency components are necessary to represent the details. For the expansion here, we use a Fourier-like basis for representing the images in radial direction. Here, represents the order of the spherical harmonics and the number of radial frequency components taken into account. The image shows an isosurface rendering together with the centered , and -slice. The interested reader is referred to [2].

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