DocumentCode
939419
Title
The discrete Pascal transform and its applications
Author
Aburdene, Maurice F. ; Goodman, Thomas J.
Author_Institution
Electr. Eng. Dept., Bucknell Univ., Lewisburg, PA, USA
Volume
12
Issue
7
fYear
2005
fDate
7/1/2005 12:00:00 AM
Firstpage
493
Lastpage
495
Abstract
We introduce a new discrete polynomial transform constructed from the rows of Pascal´s triangle. The forward and inverse transforms are computed the same way in both the one- and two-dimensional cases, and the transform matrix can be factored into binary matrices for efficient hardware implementation. We conclude by discussing applications of the transform in digital image processing, such as bump and edge detection.
Keywords
discrete transforms; image processing; matrix decomposition; Pascals triangle; binary matrix; digital image processing; discrete polynomial transform; forward transform; hardware implementation; inverse transform; transform matrix; Communication system control; Digital images; Discrete Fourier transforms; Discrete transforms; Hardware; Image edge detection; Image processing; Polynomials; Process control; Signal processing; Discrete polynomial transforms; Pascal transforms; image processing;
fLanguage
English
Journal_Title
Signal Processing Letters, IEEE
Publisher
ieee
ISSN
1070-9908
Type
jour
DOI
10.1109/LSP.2005.849498
Filename
1453542
Link To Document