Title
Simple Fast Vectorial Solution to The Rigid 3D Registration Problem.
Abstract
A novel solution is obtained to solve the rigid 3D registration problem, motivated by previous eigen-decomposition approaches. Different from existing solvers, the proposed algorithm does not require sophisticated matrix operations e.g. singular value decomposition or eigenvalue decomposition. Instead, the optimal eigenvector of the point cross-covariance matrix can be computed within several iterations. It is also proven that the optimal rotation matrix can be directly computed for cases without need of quaternion. Simulations on noise-corrupted point clouds have verified the robustness and computation speed of the proposed method. The final results indicate that the proposed algorithm is accurate, robust and owns over $30% sim 80%$ less computation time than representatives. It has also been applied to real-world applications for faster relative robotic navigation.
Year
Venue
Field
2018
arXiv: Systems and Control
Computer science,Algorithm
DocType
Volume
Citations 
Journal
abs/1806.00627
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Jin Wu1228.42
Ming Liu277594.83
Zebo Zhou301.01
Rui Li41916.31