The discrete Pascal transform and its applications

Maurice F. Aburdene; T. J. Goodman

The discrete Pascal transform and its applications

Maurice F. Aburdene, T. J. Goodman

Bucknell University

Research output: Contribution to journal › Article › peer-review

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 oneand 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

Original language	American English
Journal	Default journal
Volume	12
State	Published - Jul 1 2005

Keywords

discrete polynomial transforms
image processing
Pascal transforms.

Disciplines

Engineering

Cite this

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AB - 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 oneand 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

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KW - image processing

KW - Pascal transforms.

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The discrete Pascal transform and its applications

Abstract

Keywords

Disciplines

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Cite this