Trimmed strategy for affine registration of point sets

Yaxin Peng; Shihui Ying; Jing Qin; Tieyong Zeng

doi:10.1117/1.JRS.7.073468

Abstract

We propose a trimmed strategy for affine registration of point sets using the Lie group parameterization. All affine transformations form an affine Lie group, thus finding an optimal transformation in registration is reduced to finding an optimal element in the affine group. Given two point sets (with outliers) and an initial element in the transformation group, we seek the optimal group element iteratively by minimizing an energy functional. This is conducted by sequentially finding the closest correspondence of two point sets, estimating the overlap rate of two sets, and finding the optimal affine transformation via the exponential map of the affine group. This method improves the trimmed iterative closest point algorithm (TrICP) in two aspects: (1) We use the Lie group parameterization to implement TrICP. (2) We also extend TrICP to the case of affine transformations. The performance of the proposed algorithm is demonstrated by using the LiDAR data acquired in the Mount St. Helens area. Both visual inspections and evaluation index (root mean trimmed squared distance) indicate that our algorithm performs consistently better than TrICP and other related algorithms, especially in the presence of outliers and missing points.

Citation Download Citation

Yaxin Peng, Yaxin Peng, Shihui Ying, Shihui Ying, Jing Qin, Jing Qin, Tieyong Zeng, Tieyong Zeng, } "Trimmed strategy for affine registration of point sets," Journal of Applied Remote Sensing 7(1), 073468 (5 December 2013). https://doi.org/10.1117/1.JRS.7.073468 . Submission:

ACCESS THE FULL ARTICLE

PERSONAL SIGN IN
Full access may be available with your subscription

Email or Username Forgot your username?

Password Forgot your password?

Show

Remember Email/Username on this computer

Remember Password

No SPIE account? Create an account
or Institutional Sign In via Shibboleth

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $20.00

Non-members: $25.00 ADD TO CART

Show All Keywords

Keywords/Phrases

Search In:

Publication Years