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Browse Journals & Magazines > Signal Processing, IEEE Trans ...> Volume:39 Issue:3 Help

A class of fast Gaussian binomial filters for speech and image processing

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2 Author(s)
Haddad, R.A. ; Dept. of Electr. Eng. & Comput. Sci., Polytech. Univ., Hawthorne, NY, USA ; Akansu, A.N.

The authors present an efficient, in-place algorithm for the batch processing of linear data arrays. These algorithms are efficient, easily scaled, and have no multiply operations. They are suitable as front-end filters for a bank of quadrature mirror filters and for pyramid coding of images. In the latter application, the binomial filter was used as the low-pass filter in pyramid coding of images and compared with the Gaussian filter devised by P.J. Burt (Comput. Graph. Image Processing, vol.16, p.20-51, 1981). The binomial filter yielded a slightly larger signal-to-noise ratio in every case tested. More significantly, for an ( L+1)×(L+1) image array processed in (N+1)×(N+1) subblocks, the fast Burt algorithm requires a total of 2(L+1)2N adds and 2(L+1)2 (N/2+1) multiplies. The binomial algorithm requires 2L2N adds and zero multiplies

Published in:
Signal Processing, IEEE Transactions on  (Volume:39 ,  Issue: 3 )

Date of Publication: Mar 1991

Page(s):
723 - 727
ISSN :
1053-587X
INSPEC Accession Number:
3934225
Digital Object Identifier :
10.1109/78.80892
Product Type:
Journals & Magazines
Date of Current Version :
06 August 2002
Issue Date :
Mar 1991
Sponsored by :
IEEE Signal Processing Society

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