Title
A closed-form expression of the positional uncertainty for 3D point clouds.
Abstract
We present a novel closed-form expression of positional uncertainty measured by a near-monostatic and time-of-flight laser range finder with consideration of its measurement uncertainties. An explicit form of the angular variance of the estimated surface normal vector is also derived. This expression is useful for the precise estimation of the surface normal vector and the outlier detection for finding correspondence in order to register multiple three-dimensional point clouds. Two practical algorithms using these expressions are presented: a method for finding optimal local neighbourhood size which minimizes the variance of the estimated normal vector and a resampling method of point clouds.
Year
DOI
Venue
2009
10.1109/TPAMI.2008.116
IEEE Trans. Pattern Anal. Mach. Intell.
Keywords
Field
DocType
estimated normal vector,remote sensing,positional uncertainty,time-of-flight laser range finder,surface normal vector,novel closed-form expression,near-monostatic laser range finder,error analysis,point cloud,3d point clouds,estimated surface,resampling method,point clouds,laser ranging,eigenvalues and eigenvectors,explicit form,multiple three-dimensional point cloud,angular variance,closed-form expression,range data,normal vector,measurement uncertainty,closed form expression,closed form solution,outlier detection,surface texture,time of flight,three dimensional,probability density function
Computer vision,Expression (mathematics),Measurement uncertainty,Outlier,Closed-form expression,Artificial intelligence,Point cloud,Probability density function,Normal,Mathematics,Eigenvalues and eigenvectors
Journal
Volume
Issue
ISSN
31
4
0162-8828
Citations 
PageRank 
References 
5
0.44
14
Authors
3
Name
Order
Citations
PageRank
Kwang-Ho Bae190.89
David Belton260.81
Derek D. Lichti310215.00