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Invariant Algebras And Geometric Reasoning

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Title: Invariant Algebras And Geometric Reasoning
Description: The demand for more reliable geometric computing in robotics, computer vision and graphics has revitalized many venerable algebraic subjects in mathematics — among them, Grassmann-Cayley algebra and Geometric Algebra. Nowadays, they are used as powerful languages for projective, Euclidean and other classical geometries.This book contains the author and his collaborators'most recent, original development of Grassmann-Cayley algebra and Geometric Algebra and their applications in automated reasoning of classical geometries. It includes two of the three advanced invariant algebras — Cayley bracket algebra, conformal geometric algebra, and null bracket algebra — for highly efficient geometric computing. They form the theory of advanced invariants, and capture the intrinsic beauty of geometric languages and geometric computing. Apart from their applications in discrete and computational geometry, the new languages are currently being used in computer vision, graphics and robotics by many researchers worldwide.
Authors: Hongbo Li
Resource Type: eBook.
Subjects: Symmetry (Mathematics), Invariants, Clifford algebras
Categories: MATHEMATICS / Geometry / Analytic
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 236092
RelevancyScore: 1018
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1018.08020019531
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  Label: Title
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  Data: Invariant Algebras And Geometric Reasoning
– Name: Abstract
  Label: Description
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  Data: The demand for more reliable geometric computing in robotics, computer vision and graphics has revitalized many venerable algebraic subjects in mathematics — among them, Grassmann-Cayley algebra and Geometric Algebra. Nowadays, they are used as powerful languages for projective, Euclidean and other classical geometries.This book contains the author and his collaborators'most recent, original development of Grassmann-Cayley algebra and Geometric Algebra and their applications in automated reasoning of classical geometries. It includes two of the three advanced invariant algebras — Cayley bracket algebra, conformal geometric algebra, and null bracket algebra — for highly efficient geometric computing. They form the theory of advanced invariants, and capture the intrinsic beauty of geometric languages and geometric computing. Apart from their applications in discrete and computational geometry, the new languages are currently being used in computer vision, graphics and robotics by many researchers worldwide.
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  Data: <searchLink fieldCode="AR" term="%22Hongbo+Li%22">Hongbo Li</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Symmetry+%28Mathematics%29%22">Symmetry (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Invariants%22">Invariants</searchLink><br /><searchLink fieldCode="DE" term="%22Clifford+algebras%22">Clifford algebras</searchLink>
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  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Geometry+%2F+Analytic%22">MATHEMATICS / Geometry / Analytic</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 512.57
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Symmetry (Mathematics)
        Type: general
      – SubjectFull: Invariants
        Type: general
      – SubjectFull: Clifford algebras
        Type: general
    Titles:
      – TitleFull: Invariant Algebras And Geometric Reasoning
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Hongbo Li
      – PersonEntity:
          Name:
            NameFull: Hongbo Li
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      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2008
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9789812708083
            – Type: isbn-electronic
              Value: 9789812770110
          Titles:
            – TitleFull: Invariant Algebras And Geometric Reasoning
              Type: main
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