An Eigenvalue Analysis Based Bandwidth Selection Method for Curve Reconstruction from Noisy Point Clouds

HASIRCI Z., ÖZTÜRK M.

34th International Conference on Telecommunications and Signal Processing (TSP), Budapest, Macaristan, 18 - 20 Ağustos 2011, ss.478-482 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası:
  • Doi Numarası: 10.1109/tsp.2011.6043685
  • Basıldığı Şehir: Budapest
  • Basıldığı Ülke: Macaristan
  • Sayfa Sayıları: ss.478-482
  • Anahtar Kelimeler: Curve Reconstruction, Eigenvalue Analysis, Point Cloud Processing, Scale Selection, Tangent Estimation, SET, SURFACE
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

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.