Title
6DOF point cloud alignment using geometric algebra-based adaptive filtering
Abstract
In this paper we show that a Geometric Algebra-based least-mean-squares adaptive filter (GA-LMS) can be used to recover the 6-degree-of-freedom alignment of two point clouds related by a set of point correspondences. We present a series of techniques that endow the GA-LMS with outlier (false correspondence) resilience to outperform standard least squares (LS) methods that are based on Singular Value Decomposition (SVD). We furthermore show how to derive and compute the step size of the GA-LMS.
Year
DOI
Venue
2016
10.1109/WACV.2016.7477642
2016 IEEE Winter Conference on Applications of Computer Vision (WACV)
Keywords
Field
DocType
6DOF point cloud alignment,geometric algebra,adaptive filtering,least-mean-squares,GA-LMS,6-degree-of-freedom alignment,singular value decomposition,SVD
Least squares,Singular value decomposition,Pattern recognition,Computer science,Matrix (mathematics),Outlier,Artificial intelligence,Adaptive filter,Geometric algebra,Point cloud,Recursive least squares filter
Conference
Citations 
PageRank 
References 
1
0.38
19
Authors
4
Name
Order
Citations
PageRank
Anas Al-Nuaimi1796.86
Eckehard G. Steinbach22221299.71
Wilder Bezerra Lopes3222.63
Cássio Guimarães Lopes439432.32