ISSN:
1573-7683
Keywords:
hexagonal aggregates
;
fast Fourier transforms
;
generalized balanced ternary
;
p-product
;
algorithm
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Hexagonal aggregates are hierarchical arrangements of hexagonal cells. These hexagonal cells may be efficiently addressed using a scheme known as generalized balanced ternary for dimension 2, or GBT2. The objects of interest in this paper are digital images whose domains are hexagonal aggregates. We define a discrete Fourier transform (DFT) for such images. The main result of this paper is a radix-7, decimation-in-space fast Fourier transform (FFT) for images defined on hexagonal aggregates. The algorithm has complexity N log7 N. It is expressed in terms of the p-product, a generalization of matrix multiplication. Data reordering (also known as shuffle permutations) is generally associated with FFT algorithms. However, use of the p-product makes data reordering unnecessary.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1008370531376
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