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Conference Paper: A new Hilbert Invariant for a pattern of points under affine transformation

TitleA new Hilbert Invariant for a pattern of points under affine transformation
Authors
Chan, CHHung, YSLeung, CH
KeywordsAffine transformation
Hilbert invariant
Hilbert transform
Image points
Issue Date2005
Citation
13Th International Conference In Central Europe On Computer Graphics, Visualization And Computer Vision 2005, Wscg'2005 - In Co-Operation With Eurographics, Full Papers, 2005, p. 11-12 How to Cite?
AbstractThis paper presents a new Hilbert Invariant for a pattern of points in an image. The Hilbert invariant is invariant under any affine transformation (translation, scaling, rotation and shearing). It is constructed based on the Hilbert transform. Hilbert transform is originally used for generating the imaginary part from the real part of a continuous or discrete complex signal to recover the original one in signal processing. In this paper, the real part is a discrete signal formed by a sequence of coordinates of image points. The Hilbert transformed signal is then used to construct a relative and an absolute affine invariant. Copyright UNION Agency - Science Press.
Persistent Identifierhttp://hdl.handle.net/10722/99199
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorChan, CHen_HK
dc.contributor.authorHung, YSen_HK
dc.contributor.authorLeung, CHen_HK
dc.date.accessioned2010-09-25T18:19:52Z-
dc.date.available2010-09-25T18:19:52Z-
dc.date.issued2005en_HK
dc.identifier.citation13Th International Conference In Central Europe On Computer Graphics, Visualization And Computer Vision 2005, Wscg'2005 - In Co-Operation With Eurographics, Full Papers, 2005, p. 11-12en_HK
dc.identifier.urihttp://hdl.handle.net/10722/99199-
dc.description.abstractThis paper presents a new Hilbert Invariant for a pattern of points in an image. The Hilbert invariant is invariant under any affine transformation (translation, scaling, rotation and shearing). It is constructed based on the Hilbert transform. Hilbert transform is originally used for generating the imaginary part from the real part of a continuous or discrete complex signal to recover the original one in signal processing. In this paper, the real part is a discrete signal formed by a sequence of coordinates of image points. The Hilbert transformed signal is then used to construct a relative and an absolute affine invariant. Copyright UNION Agency - Science Press.en_HK
dc.languageengen_HK
dc.relation.ispartof13th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision 2005, WSCG'2005 - In Co-operation with EUROGRAPHICS, Full Papersen_HK
dc.subjectAffine transformationen_HK
dc.subjectHilbert invarianten_HK
dc.subjectHilbert transformen_HK
dc.subjectImage pointsen_HK
dc.titleA new Hilbert Invariant for a pattern of points under affine transformationen_HK
dc.typeConference_Paperen_HK
dc.identifier.emailHung, YS:yshung@eee.hku.hken_HK
dc.identifier.emailLeung, CH:chleung@eee.hku.hken_HK
dc.identifier.authorityHung, YS=rp00220en_HK
dc.identifier.authorityLeung, CH=rp00146en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-84861077057en_HK
dc.identifier.hkuros101326en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-84861077057&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.spage11en_HK
dc.identifier.epage12en_HK
dc.identifier.scopusauthoridChan, CH=7404813577en_HK
dc.identifier.scopusauthoridHung, YS=8091656200en_HK
dc.identifier.scopusauthoridLeung, CH=7402612415en_HK

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