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

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.