Abstract
The search for generally applicable operators for image processing is important. The class of operators based on circular harmonic functions (spherical harmonics for 3D-signals) are strong contenders. They form the basis for optimal rotation invariant feature detectors and they lend themselves to separable kernel design in the discrete case. An interesting feature of these natural basis functions is that they are similarly shaped in signal and frequency domain. In the largely unexplored three-dimensional case, the natural basis functions might be the only road to conceptually simple tasks like edge and line detection.
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© 1987 Springer-Verlag Berlin Heidelberg
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Danielsson, PE. (1987). Natural Basis Functions for Image Analysis. In: Meyer-Ebrecht, D. (eds) ASST ’87 6. Aachener Symposium für Signaltheorie. Informatik-Fachberichte, vol 153. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73015-3_45
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DOI: https://doi.org/10.1007/978-3-642-73015-3_45
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