Point Set Denoising Using Bootstrap-Based Radial Basis Function.
This paper examines the application of a bootstrap test error estimation of radial basis functions, specifically thin-plate spline fitting, in surface smoothing. The presence of noisy data is a common issue of the point set model that is generated from 3D scanning devices, and hence, point set denoising is one of the main concerns in point set modelling. Bootstrap test error estimation, which is applied when searching for the smoothing parameters of radial basis functions, is revisited. The main contribution of this paper is a smoothing algorithm that relies on a bootstrap-based radial basis function. The proposed method incorporates a k-nearest neighbour search and then projects the point set to the approximated thin-plate spline surface. Therefore, the denoising process is achieved, and the features are well preserved. A comparison of the proposed method with other smoothing methods is also carried out in this study.
School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Minden, Penang, Malaysia.
Khang Jie
http://orcid.org/0000-0002-3993-4359
KJ
Liew
School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Minden, Penang, Malaysia.
Ahmad
A
Ramli
School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Minden, Penang, Malaysia.
Ahmad
A
Abd Majid
D000465:Algorithms; D003627:Data Interpretation, Statistical; D008962:Models, Theoretical; D025341:Principal Component Analysis; D012815:Signal Processing, Computer-Assisted