Research Article

Robust Homography Estimation Based on Nonlinear Least Squares Optimization

Table 1

Homography estimation results on random generated false matches. TP and FP mean true positive and false positive number, while TN and FN represent true negative and false negative number. The column “RMSE w/o S represents the RMSE of approach without using descriptor similarity S, while “RMSE w/o C represents the RMSE of standard optimization approach whose cost function is introduced in (6).

True matches False matches TP FP TN FN RMSE RMSE w/o S RMSE w/o C

42 0 42 0 0 0 0.166 0.165 0.184
42 51 42 1 50 0 0.573 0.462 13.992
42 103 42 1 102 0 0.597 0.699 21.420
42 154 42 1 153 0 0.222 0.608 27.589
42 206 42 1 205 0 0.633 5.816 30.845
42 257 42 1 256 0 0.622 17.311 34.856
42 309 42 1 308 0 0.228 28.479 37.672
42 360 41 1 359 1 0.652 36.286 38.408
42 412 42 1 411 0 0.594 37.278 40.348
42 463 41 1 462 1 0.821 39.889 41.875
42 515 42 1 514 0 0.825 38.737 42.467