Randomized RANSAC with Sequential Probability Ratio Test
Matas, Jiří, Chum, Ondřej
ICCV 2005, New York, USA
Proc. IEEE International Conference on Computer Vision (ICCV)
Volume II, Pages 1727-1732
October, 2005
Abstract
A randomized model verification strategy for RANSAC is presented. The
proposed method finds, like RANSAC, a solution that is optimal with
user-controllable probability. A provably optimal model verification
strategy is designed for the situation when the contamination of data
by outliers is known, i.e. the algorithm is the fastest possible (on
average) of all randomized RANSAC algorithms guaranteeing confidence
in the solution. The derivation of the optimality property is based on
Wald.s theory of sequential decision making. The R-RANSAC with SPRT,
which does not require the a priori knowledge of the fraction of
outliers and has results close to the optimal strategy, is
introduced. We show experimentally that on standard test data the
method is 2 to 10 times faster than the standard RANSAC and up to 4
times faster than previously published methods.
Keywords
RANSAC, SPRT, randomised verification, robust estimation, epipolar geometry, homography
Bibtex entry
@inproceedings{Matas-ICCV05,
author = {Matas, Ji{\vr}{\'i} and Chum, Ond{\vr}ej},
title = {Randomized RANSAC with Sequential Probability Ratio Test},
year = {2005},
volume = {II},
pages = {1727--1732},
month = {October},
booktitle = {Proc. IEEE International Conference on Computer Vision (ICCV)},
keywords = {RANSAC, SPRT, randomised verification, robust estimation,
epipolar geometry, homography} ,
project = {1M0567, COSPAL IST-004176},
publisher = {IEEE Computer Society Press},
address = {New York, USA},
isbn = {0-7695-2334-X},
editor = {Ma, Songde and Shum, Heung-Yeung},
day = {15--21},
venue = {Hotel Beijing, Beijing, China},
annote = {A randomized model verification strategy for RANSAC is
presented. The proposed method finds, like RANSAC, a solution that
is optimal with user-controllable probability. A provably optimal
model verification strategy is designed for the situation when the
contamination of data by outliers is known, i.e. the algorithm is
the fastest possible (on average) of all randomized RANSAC
algorithms guaranteeing confidence in the solution. The derivation
of the optimality property is based on Wald.s theory of sequential
decision making. The R-RANSAC with SPRT, which does not require
the a priori knowledge of the fraction of outliers and has results
close to the optimal strategy, is introduced. We show
experimentally that on standard test data the method is 2 to 10
times faster than the standard RANSAC and up to 4 times faster
than previously published methods.},
}