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, Hungary, 18 - 20 August 2011, pp.478-482 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume:
  • Doi Number: 10.1109/tsp.2011.6043685
  • City: Budapest
  • Country: Hungary
  • Page Numbers: pp.478-482
  • Keywords: Curve Reconstruction, Eigenvalue Analysis, Point Cloud Processing, Scale Selection, Tangent Estimation, SET, SURFACE
  • Karadeniz Technical University Affiliated: Yes

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.