Research Article

A Multiobjective Approach to Homography Estimation

Table 2

Quality measures, calculated from single extreme values, found by RANSAC, NSDE, and NSGA-II, varying the outlier number.

AlgorithmImage pairMSE
95% of outliers90% of outliers85% of outliers

NSDEFigures 3(g) and 3(h)117.9057 (17.2158)105.3281 (3.2716)102.7769 (1.7186)
NSGA-II146.7161 (3.3511)140.1202 (13.2941)122.5373 (22.6950)
RANSAC135.0995 (17.8106)103.6220 (2.8878)100.8954 (1.0529)

NSDEFigures 3(i) and 3(j)70.2051 (14.8488)52.0970 (0.3064)51.7556 (0.1016)
NSGA-II91.8883 (14.9284)85.6721 (17.6376)61.3195 (21.0951)
RANSAC72.2009 (25.6447)52.1122 (0.2773)51.8429 (0.1234)

NSDE Figures 3(k) and 3(l)109.3420 (15.7526)95.9762 (0.4746)95.7580 (0.0121)
NSGA-II135.5036 (5.6795)110.0551 (21.9004)96.9498 (2.5278)
RANSAC120.9408 (21.7259)95.8901 (0.1421)95.8631 (0.1470)