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Published at December 5CrossSDF: 3D Reconstruction of Thin Structures From Cross-Sections
cs.CV
Released Date: December 5, 2024
Authors: Thomas Walker1, Salvatore Esposito, Daniel Rebain, Amir Vaxman, Arno Onken, Changjian Li, Oisin Mac Aodha
Aff.: 1University of Edinburgh
![[Uncaptioned image]](https://arxiv.org/html/2412.04120v1/extracted/6045783/images/fig1/figure1_mk11.jpg)
| Thin Structures | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Alveolis (100) | Cerebral (75) | Coronaries (75) | Coro (75) | Heart (100) | Pulmonary (75) | ||||||||
| Method | Align. | Non-Align. | Align. | Non-Align. | Align. | Non-Align. | Align. | Non-Align. | Align. | Non-Align. | Align. | Non-Align. | |
| CD () | CrossSDF (Ours) | 0.35 | 0.50 | 0.24 | 0.26 | 0.28 | 0.46 | 0.21 | 0.29 | 0.38 | 0.82 | 0.24 | 0.34 |
| OReX [33] | 3.6 | 4.8 | 12 | 2 | 10 | 1.6 | 0.48 | 0.33 | 4.6 | 8.4 | 12 | 5.6 | |
| Screened Poisson [19] | 0.44 | 0.57 | 0.39 | 0.44 | 0.46 | 0.67 | 1.3 | 0.95 | 1.0 | 0.85 | 0.52 | 0.59 | |
| POCO [11] | 4.1 | 4.5 | 0.36 | 0.79 | 1.1 | 0.72 | 1.1 | 3.4 | 2.7 | 4.2 | 2.4 | 2.0 | |
| Neural-IMLS [40] | 13 | 12 | 14 | 17 | 19 | 17 | 9 | 10 | 19 | 18 | 15 | 15 | |
| HD () | CrossSDF (Ours) | 14 | 6.1 | 3.5 | 4 | 5.8 | 4.7 | 4.5 | 2.8 | 11 | 10 | 10 | 7.3 |
| OReX [33] | 21 | 35 | 8.1 | 19 | 18 | 27 | 9 | 11 | 26 | 42 | 36 | 21 | |
| Screened Poisson [19] | 17 | 8.1 | 16 | 25 | 6.1 | 5.4 | 10 | 7.5 | 26 | 9.2 | 10 | 7.7 | |
| POCO [11] | 32 | 29 | 15 | 41 | 7.1 | 9.2 | 8.8 | 18 | 24 | 25 | 20 | 16.4 | |
| Neural-IMLS [40] | 68 | 51 | 33 | 48 | 55 | 67 | 37 | 39 | 59 | 61 | 52 | 41 | |
| CC | Ground Truth | 1 | 1 | 1 | 1 | 3 | 3 | 1 | 1 | 1 | 1 | 1 | 1 |
| CrossSDF (Ours) | 6 | 33 | 2 | 5 | 5 | 35 | 2 | 4 | 68 | 176 | 2 | 3 | |
| OReX [33] | 939 | 2119 | 40 | 421 | 219 | 94 | 13 | 4 | 223 | 511 | 914 | 261 | |
| Screened Poisson [19] | 53 | 1187 | 3 | 23 | 81 | 160 | 9 | 62 | 923 | 1006 | 6 | 17 | |
| POCO [11] | 67 | 91 | 2 | 78 | 14 | 46 | 4 | 279 | 70 | 134 | 21 | 134 | |
| Neural-IMLS [40] | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 1 | |||