• DocumentCode
    1719377
  • Title

    An eigenvalue analysis based bandwidth selection method for curve reconstruction from noisy point clouds

  • Author

    Hasirci, Zeynep ; Ozturk, Mehmet

  • Author_Institution
    Dept. of Electr. & Electron. Eng., Karadeniz Tech. Univ., Trabzon, Turkey
  • fYear
    2011
  • Firstpage
    478
  • Lastpage
    482
  • Abstract
    In this paper, we propose an eigenvalue analysis based bandwidth selection method for fitting curves to noisy point clouds. Firstly the selection of a suitable local region radius (bandwidth) is carried out by using the normalized maximum eigenvalue. Then the regression line of the local region is used for ordering the data. Finally, a 3th order polynomial is fitted to the local data by using least squares method.
  • Keywords
    bandwidth allocation; curve fitting; eigenvalues and eigenfunctions; least squares approximations; polynomials; signal reconstruction; bandwidth selection; curve reconstruction; eigenvalue analysis; fitting curves; least squares method; noisy point clouds; polynomial; suitable local region radius; Bandwidth; Eigenvalues and eigenfunctions; Fitting; Image reconstruction; Noise; Polynomials; Surface reconstruction; Curve Reconstruction; Eigenvalue Analysis; Point Cloud Processing; Scale Selection; Tangent Estimation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Telecommunications and Signal Processing (TSP), 2011 34th International Conference on
  • Conference_Location
    Budapest
  • Print_ISBN
    978-1-4577-1410-8
  • Type

    conf

  • DOI
    10.1109/TSP.2011.6043685
  • Filename
    6043685
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1719377