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The Proof of Completeness of the Graph Method for Generation of Affine Moment Invariants

Result description

Features for recognition of affinely distorted objects are of great demand. The affine moment invariants can be generated by a few methods, namely the graph method, the tensor method and the direct solution of the Cayley-Aronhold differential equation. The proof of their equivalence is complicated; it can be derived from the Gurevich's proof for affine tensor invariants. The theme of this paper is this derivation.

Keywords

affine invariantsmomentsgraphstensorsCayley-Aronhold differential equation

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    The Proof of Completeness of the Graph Method for Generation of Affine Moment Invariants

  • Original language description

    Features for recognition of affinely distorted objects are of great demand. The affine moment invariants can be generated by a few methods, namely the graph method, the tensor method and the direct solution of the Cayley-Aronhold differential equation. The proof of their equivalence is complicated; it can be derived from the Gurevich's proof for affine tensor invariants. The theme of this paper is this derivation.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    IN - Informatics

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2010

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Image Analysis and Recognition, Proceedings of 7th International Conference ICIAR 2010

  • ISBN

    978-3-642-13771-6

  • ISSN

  • e-ISSN

  • Number of pages

    10

  • Pages from-to

  • Publisher name

    Springer

  • Place of publication

    Berlin, Heidelberg

  • Event location

    Póvoa de Varzim

  • Event date

    Jun 21, 2010

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article