Fourier transforms of colour images : the quaternion FFT

• Autorzy: Sangwine, S.
• Konferencja: International Workshop on Systems, Signal and Image Processing (4 ; 1997 ; Poznań, Polska)
• Języki publikacji: EN

Abstrakty

EN

A discrete two-dimensional Fourier transform is presented, based on quaternion numbers (a generalisation of the complex numbers with three imaginary components). This transform allows a colour image in, say, RGB format, to be transformed as a whole, rather than as separate color components. Quaternion numbers are briefly reviewed, the transform is defined, and its two-dimensional cosinusoidal basis functions. The paper concludes with a discussion of a known problem with the transform : that a reversed image does not have a conjugate transform.

Słowa kluczowe

PL

kwaternion; liczby zespolone; obrazy kolorowe; transformata Fouriera

EN

colour images; Fourier transforms; hypercomplex numbers; quaternions

• Czasopismo: Image Processing & Communications
• Rocznik: 1998
• Tom: Vol. 4, no 1-2
• Strony: 3-8
• Opis fizyczny: Bibliogr. 7 poz.,

Twórcy

autor

Sangwine, S.