Projective Curvature and Integral Invariants

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dc.contributor.authorHann, C.E.
dc.contributor.authorHickman, M.S.
dc.date.accessioned2009-11-16T20:13:51Z
dc.date.available2009-11-16T20:13:51Z
dc.date.issued2002en
dc.descriptionThe original publication is available at www.springerlink.comen
dc.description.abstractIn this paper, an extension of all Lie group actions on R2 to coordinates defined by potentials is given. This provides a new solution to the equivalence problems of curves under the projective group and two of its subgroups. The potentials correspond to integrals of higher and higher order producing an infinite number of independent integral invariants. Applications to computer vision are discussed.en
dc.identifier.citationHann, C.E., Hickman, M.S. (2002) Projective Curvature and Integral Invariants. Acta Applicandae Mathematicae, 74(2), pp. 177-193.en
dc.identifier.doihttps://doi.org/10.1023/A:1020617228313
dc.identifier.issn0167-8019 (Print)
dc.identifier.issn1572-9036 (Online)
dc.identifier.urihttp://hdl.handle.net/10092/3111
dc.language.isoen
dc.publisherUniversity of Canterbury. Mechanical Engineeringen
dc.rights.urihttps://hdl.handle.net/10092/17651en
dc.subjectLie groupen
dc.subjectprolongationen
dc.subjectdifferential invarianten
dc.subjectprojective curvatureen
dc.subjectequivalenceen
dc.subjectpotentialen
dc.subjectintegral invarianten
dc.subject.marsdenFields of Research::230000 Mathematical Sciences::230100 Mathematicsen
dc.subject.marsdenFields of Research::230000 Mathematical Sciences::230200 Statisticsen
dc.subject.marsdenFields of Research::230000 Mathematical Sciences::230100 Mathematics::230107 Differential, difference and integral equationsen
dc.titleProjective Curvature and Integral Invariantsen
dc.typeJournal Article
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