DocumentCode
1120420
Title
Multidimensional Logical Transforms
Author
Preston, Kendall, Jr.
Author_Institution
Department of Electrical Engineering, Carnegie-Mellon University, Pittsburgh, PA 15213; Department of Radiation Health, University of Pittsburgh, Pittsburgh, PA 15260.
Issue
5
fYear
1983
Firstpage
539
Lastpage
554
Abstract
This correspondence reviews the logical transform and pre-sents new theoretical and empirical developments. Novel extensions of the logical transform into spaces of three and four dimensions are de-scribed using the hexahedral and octahedral tessellations. These new tessellations are important in that they yield sufficiently compact neighborhoods to permit multidimensional cellular logic transforms to be carried out in real time by table lookup. Applications of logical transforms in these tessellations to data and image analysis are provided.
Keywords
Convolution; Discrete transforms; Hardware; Image analysis; Image processing; Logic; Multidimensional systems; NASA; Table lookup; Taxonomy; Cellular logic; image processing; logical transform; taxonomy;
fLanguage
English
Journal_Title
Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publisher
ieee
ISSN
0162-8828
Type
jour
DOI
10.1109/TPAMI.1983.4767434
Filename
4767434
Link To Document