Publication Cover
Applicable Analysis
An International Journal
Volume 76, 2000 - Issue 1-2
50
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

The arithmetic fourier transform and the visual pathway

Pages 167-177 | Received 01 Nov 1999, Published online: 02 May 2007

References

  • De Valois , R.L. and De Valois , K.K. 1988 . “ Spatial vision ” . New York : Oxford University Press . Oxford psychology series No. 14
  • Ermentrout , G.B. and Cowan , J. 1979 . Mathematical theory of visual hallucination patterns . Biol. Cybernet , 34 : 137 – 150 .
  • Marr , D. and Freeman , W.H. 1982 . Vision:a computational investigation into the human representation and processing of visual information .
  • Pellionisz , A. 1989 . “ Neural geometry: Towards a fractal model of neurons ” . In Models of Brain Function , Edited by: Cotterill , R.M.J. Cambridge : Cambridge University Press .
  • Pribram , K.H. 1971 . Languages of the the brain . Prentice Hall ,
  • Pribram , K.H. 1976 . “ Central processing of sensory input ” . Cambridge, MA : M.I.T. Press .
  • Pribram , K.H . 1991 . Brain and Perception . Lawrence Erlbaum ,
  • Reed , I.S. , Tufts , D.W. , Truong , T.K. , Shih , M.T. , Yin , X. and Yu , X. 1990 . Fourier analysis and signal processing by use of the Möbius inversion formula . IEEE Trans, on ASSP , 38 : 458 – 470 .
  • Schiff , J.L. and Walker , W.J. 1994 . A sampling formula in signal processing and the prime number theorem . NZ. J. Math , 23 : 147 – 155 .
  • Tufts , D.W and Sadasiv , G. 1988 . The Arithmetic Fourier Transform . IEEE ASSP Magazine , 5 : 13 – 17 .
  • Walker , W.J. 1994 . A summability method for the arithmetic Fourier transform . BIT , 34 : 304 – 309 .
  • Walker , W.J. 1995 . The arithmetic Fourier transform and real neural networks: Summability by prime . J. Math. Anal. Appl , 190 : 211 – 219 .
  • Walker , W.J. 1999 . “ Sampling theory and the arithmetic Fourier transform ” . In Sampling Theory in Fourier and Signal Analysis: Advanced Topics , Edited by: Higgins , J.R. and Stens , R.L. Oxford : Oxford University Press .
  • Wiesel , T.N. and Gilbert , C.D. 1989 . “ Neural mechanisms of visual perception ” . In Neural mechanisms of visual perception: proceedings of the Second Retina Research Foundation Symposium , Edited by: Lam , D.M.K. and Gilbert , C.D. 7 – 33 . Woodlands Texas : Portfolio Pub. Co .
  • Wintner , A. 1945 . “ An arithmetic approach to ordinary Fourier series ” . Baltimore : Waverly Press .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.