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
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;
Conference_Titel :
Telecommunications and Signal Processing (TSP), 2011 34th International Conference on
Conference_Location :
Budapest
Print_ISBN :
978-1-4577-1410-8
DOI :
10.1109/TSP.2011.6043685
