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Recognition of Symmetric 3D Bodies

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F14%3A00431156" target="_blank" >RIV/67985556:_____/14:00431156 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.3390/sym6030722" target="_blank" >http://dx.doi.org/10.3390/sym6030722</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.3390/sym6030722" target="_blank" >10.3390/sym6030722</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Recognition of Symmetric 3D Bodies

  • Original language description

    The paper deals with the recognition of symmetric three-dimensional (3D) bodies that can be rotated and translated. We provide a complete list of all existing combinations of rotation and reflection symmetries in 3D. We define 3D complex moments by meansof spherical harmonics, and the influence of individual symmetry groups on complex moment values is studied. Each particular symmetry pre-defines certain moment values. These moments can no longer differentiate between two objects of the same symmetry,which decreases the recognition power of the feature set. They should not be included when constructing the invariants. Translation and rotation invariants up to the fourth order are presented and their performance is studied on both artificial and realdata.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    JD - Use of computers, robotics and its application

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GAP103%2F11%2F1552" target="_blank" >GAP103/11/1552: Moments and Moment Invariants in Image Analysis</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2014

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Symmetry-Basel

  • ISSN

    2073-8994

  • e-ISSN

  • Volume of the periodical

    6

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    36

  • Pages from-to

    722-757

  • UT code for WoS article

    000343107900011

  • EID of the result in the Scopus database