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dc.contributor.authorSheridan, Phillip
dc.date.accessioned2017-05-03T14:00:21Z
dc.date.available2017-05-03T14:00:21Z
dc.date.issued2007
dc.date.modified2008-05-29T07:53:52Z
dc.identifier.issn1057-7149
dc.identifier.doi10.1109/TIP.2007.891790
dc.identifier.urihttp://hdl.handle.net/10072/18623
dc.description.abstractThe Fourier transform is one of the most important transformations in image processing. A major component of this influence comes from the ability to implement it efficiently on a digital computer. This paper describes a new methodology to perform a fast Fourier transform (FFT). This methodology emerges from considerations of the natural physical constraints imposed by image capture devices (camera/eye). The novel aspects of the specific FFT method described include: 1) a bit-wise reversal re-grouping operation of the conventional FFT is replaced by the use of lossless image rotation and scaling and 2) the usual arithmetic operations of complex multiplication are replaced with integer addition. The significance of the FFT presented in this paper is introduced by extending a discrete and finite image algebra, named Spiral Honeycomb Image Algebra (SHIA), to a continuous version, named SHIAC.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent1265682 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherIEEE Signal Processing Society
dc.publisher.placeNew Jersey
dc.publisher.urihttp://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=83
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofpagefrom1355
dc.relation.ispartofpageto1369
dc.relation.ispartofissue5
dc.relation.ispartofjournalIEEE Transactions on Image Processing
dc.relation.ispartofvolume16
dc.rights.retentionY
dc.subject.fieldofresearchArtificial Intelligence and Image Processing
dc.subject.fieldofresearchElectrical and Electronic Engineering
dc.subject.fieldofresearchCognitive Sciences
dc.subject.fieldofresearchcode0801
dc.subject.fieldofresearchcode0906
dc.subject.fieldofresearchcode1702
dc.titleA Method to Perform a Fast Fourier Transform with Primitive Image Transformations
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.rights.copyright© 2007 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
gro.date.issued2007
gro.hasfulltextFull Text
gro.griffith.authorSheridan, Phillip E.


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