Second LPT Challenge Case 3: Time-Resolved results

This page presents published results for the Time-Resolved case of the 2nd LPT Challenge Case 3. The link for result submission, as well as details about the test case and  rules for result are given there.

Tables can be ordered according to each of the quantities reported. Clicking on an algorithm name in a table will open a page gathering its result, together with information on the submitter.

Definition of performance metrics

Evaluation pertains to both particle localization, at the two pulse times t0 and t1, and estimation of the displacement vectors. For either particles or vectors, we count :

  • a True Positive (TP) if a ground truth (GT) particle is found in the neighborhood of a detection (maximum componentwise distance less than 1 voxel). For vectors, both detections should be TPs and associated to the same GT particle.
  • a False Negative (FN, a.k.a. missed particle) if there is no detection in the neighborhood of a GT particle. A FN vector is a GT vector that is not associated to a TP vector.
  • a False Positive (FP, a.k.a. ghost particle/vector) particle/vector when it is not a TP particle/vector.

Precision and Recall are derived quantities reflecting the detection performance, defined as:

 

Root-mean-square (rms) errors, whether on particle position, velocity or acceleration, are defined by considering only the TP within the result. Corresponding units are as follows:

  • Position errors (raw and fitted) are given in voxel, with a voxel size here equal to 528 µm
  • Velocity errors are dimensionless, with corresponding reference velocity Vinf = 0.6633 m/s
  • Acceleration errors are dimensionless, with corresponding reference acceleration Ainf = Vinf2/D = 0.4 m/s2, where D = 1.1 m is the Rayleigh-Bénard Convection cell height/diameter (see there for more information on the physical setup).

Below, we provide tables showing these quantities for all test points. Then, we show figures comparing these quantities among participants, as well as groups of error slices for velocity and acceleration at a given test point.

ppp: 0.01
Algorithm Sort descending Institution Precision Recall #TP #FP #FN Raw pos. rms error Pos. rms error X pos. rms error Y pos. rms error Z pos. rms error Vel. rms error X vel. rms error Y vel. rms error Z vel. rms error Acc. rms error X acc. rms error Y acc. rms error Z acc. rms error
PaIRS University of Naples Federico II 0.84 0.973 38771 7378 1085 0.44 0.379 0.096 0.102 0.352 0.0046 0.00148 0.00153 0.00408 0.334 0.103 0.111 0.298
STB@DaVis LaVision GmbH 0.886 0.97 38662 4968 1194 0.409 0.377 0.146 0.126 0.324 0.00536 0.00274 0.00283 0.00362 0.114 0.0484 0.0477 0.0915
ppp: 0.04
Algorithm Sort descending Institution Precision Recall #TP #FP #FN Raw pos. rms error Pos. rms error X pos. rms error Y pos. rms error Z pos. rms error Vel. rms error X vel. rms error Y vel. rms error Z vel. rms error Acc. rms error X acc. rms error Y acc. rms error Z acc. rms error
PaIRS University of Naples Federico II 0.949 0.875 139641 7581 20025 0.573 0.493 0.134 0.142 0.453 0.008 0.0025 0.00258 0.00715 0.634 0.211 0.225 0.554
STB@DaVis LaVision GmbH 0.954 0.929 148370 7195 11296 0.463 0.407 0.143 0.137 0.356 0.006 0.00276 0.0028 0.00453 0.147 0.0521 0.0552 0.126
ppp: 0.07
Algorithm Sort descending Institution Precision Recall #TP #FP #FN Raw pos. rms error Pos. rms error X pos. rms error Y pos. rms error Z pos. rms error Vel. rms error X vel. rms error Y vel. rms error Z vel. rms error Acc. rms error X acc. rms error Y acc. rms error Z acc. rms error
PaIRS University of Naples Federico II 0.962 0.761 212709 8408 66681 0.637 0.55 0.155 0.163 0.502 0.00988 0.00311 0.00316 0.00882 0.777 0.26 0.274 0.679
STB@DaVis LaVision GmbH 0.975 0.861 240483 6179 38907 0.503 0.427 0.144 0.136 0.379 0.00655 0.00278 0.00294 0.00515 0.173 0.06 0.0618 0.149
ppp: 0.1
Algorithm Sort descending Institution Precision Recall #TP #FP #FN Raw pos. rms error Pos. rms error X pos. rms error Y pos. rms error Z pos. rms error Vel. rms error X vel. rms error Y vel. rms error Z vel. rms error Acc. rms error X acc. rms error Y acc. rms error Z acc. rms error
PaIRS University of Naples Federico II 0.962 0.691 275191 11015 123330 0.698 0.601 0.176 0.185 0.544 0.0112 0.00372 0.00375 0.00992 0.871 0.309 0.318 0.75
STB@DaVis LaVision GmbH 0.982 0.74 295003 5377 103518 0.543 0.451 0.154 0.145 0.399 0.00725 0.00307 0.00329 0.00569 0.195 0.0704 0.0728 0.166

2nd LPT Challenge Case 3 TR results