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4 results for “Shape Correspondence”
TACO: a benchmark for connectivity-invariance in shape correspondence
<div> <h1>TACO: a benchmark for connectivity-invariance in shape correspondence</h1> </div> <p>In real-world scenarios, a major limitation for shape-matching datasets is represented by having all the meshes of the same subject share their connectivity across different poses. Specifically, similar connectivities could provide a significant bias for shape-matching algorithms, simplifying the matching process and potentially leading to correspondences based on recurring triangle patterns rather than geometric correspondences between mesh parts. As a consequence, the resulting correspondence may be meaningless, and the evaluation of the algorithm may be misled.<br>To overcome this limitation, we introduce TACO, a new dataset where meshes representing the same subject in different poses do not share the same connectivity, and we compute new ground truth correspondences between shapes. We extensively evaluate our dataset to ensure that ground truth isometries are properly preserved. We also use our dataset to validate state-of-the-art shape-matching algorithms, verifying a degradation in performance when the connectivity gets altered.</p> <p> </p> <h2><strong>Dataset structure</strong></h2> <ul> <li>offs: a directory containing all the triangular meshes in the dataset in <a href="https://en.wikipedia.org/wiki/OFF_(file_format)#:~:text=OFF%20(Object%20File%20Format)%20is,higher%2Ddimensional%20objects%20as%20well." target="_blank" rel="noopener">OFF file format</a></li> <li>pairs.txt: a list of all the 420 possible pairs of shapes in the dataset</li> <li>gt_matches: a directory containing all the ground truth correspondences listed in `pairs.txt` and stored in <a href="https://it.mathworks.com/help/matlab/apiref/matfileapi.html">MAT file format</a></li> </ul>
Instances and corresponding solutions for the U-shaped storage layout planning problem (USLPP)
<p>The set of instances and corresponding solutions, which were used in the computational study of the paper “Ergonomic and economic optimization of layout and item assignment of a U-shaped order picking zone”.</p>
Table ¹: Comparison of analysis of variance results for skull (occlusal view) and mandible (side view) shape in Rhipidomys mastacalis from three vegetation classes in Brazil. Object asymmetry and correspondence methods were employed to assess asymmetry for skulls and mandibles, respectively. in Morphological symmetry of Rhipidomys mastacalis (Mammalia, Rodentia, Cricetidae) in fragmented habitats of the Atlantic Forest in Northeastern Brazil: a study on the influence of the environment on an endemic species
<p><b>Table ¹:</b> Comparison of analysis of variance results for skull (occlusal view) and mandible (side view) shape in <i>Rhipidomys mastacalis</i> from three vegetation classes in Brazil.Object asymmetry and correspondence methods were employed to assess asymmetry for skulls and mandibles,respectively.</p><table><tbody><tr><th><b>Shape procrustes ANOVA</b></th></tr></tbody><tbody><tr><th><b>Effect Sum of squares</b></th><td><b>Mean squares</b></td><td><b>Degrees of freedom</b></td><td><i>F statistic</i></td><td><i>p -Value</i></td><td><b>Pillai tr.</b></td><td><i>p -Value</i></td></tr><tr><th><b>Skulls</b></th></tr><tr><th><b>Forested vegetation</b></th></tr><tr><th>Individual</th><td>0.19908517</td><td>0.0004253957</td><td>468</td><td>22.36</td><td><0.0001</td><td>–</td><td>–</td></tr><tr><th>Side</th><td>0.00366522</td><td>0.0002036232</td><td>18</td><td>10.70</td><td><0.0001</td><td>–</td><td>–</td></tr><tr><th>Individual × side</th><td>0.00890443</td><td>0.0000190266</td><td>468</td><td>2.24</td><td><0.0001</td><td>–</td><td>–</td></tr><tr><th>Error 1</th><td>0.00825565</td><td>0.0000084935</td><td>972</td><td>–</td><td>–</td><td>–</td><td>–</td></tr><tr><th><b>Occupancy mosaics in forested areas</b></th></tr><tr><th>Individual</th><td>0.37829478</td><td>0.0003965354</td><td>954</td><td>18.57</td><td><0.0001</td><td>–</td><td>–</td></tr><tr><th>Side</th><td>0.00547536</td><td>0.0003041869</td><td>18</td><td>14.25</td><td><0.0001</td><td>–</td><td>–</td></tr><tr><th>Individual × side</th><td>0.02037065</td><td>0.0000213529</td><td>954</td><td>1.89</td><td><0.0001</td><td>–</td><td>–</td></tr><tr><th>Error 1</th><td>0.02201359</td><td>0.0000113239</td><td>1944</td><td>–</td><td>–</td><td>–</td><td>–</td></tr><tr><th><b>Cocoa plantations</b></th></tr><tr><th>Individual</th><td>0.0645902300</td><td>0.0001302222</td><td>496</td><td>5.18</td><td><0.0001</td><td>–</td><td>–</td></tr><tr><th>Side</th><td>0.0113531900</td><td>0.0007095741</td><td>16</td><td>28.23</td><td><0.0001</td><td>–</td><td>–</td></tr><tr><th>Individual × side</th><td>0.0124666800</td><td>0.0000251344</td><td>496</td><td>1.88</td><td><0.0001</td><td>–</td><td>–</td></tr><tr><th>Error 1</th><td>0.0136608800</td><td>0.0000133407</td><td>1024</td><td>–</td><td>–</td><td>–</td><td>–</td></tr><tr><th><b>Mandibles</b></th></tr><tr><th><b>Forested vegetation</b></th></tr><tr><th>Individual</th><td>0.70443879</td><td>0.0012579264</td><td>560</td><td>8.10</td><td><0.0001</td><td>14.16</td><td><0.0001</td></tr><tr><th>Side</th><td>0.00549957</td><td>0.0002749783</td><td>20</td><td>1.77</td><td>0.0207</td><td>0.0207</td><td>0.0069</td></tr><tr><th>Individual × side</th><td>0.08696012</td><td>0.0001552859</td><td>560</td><td>2.46</td><td><0.0001</td><td>10.75</td><td><0.0001</td></tr><tr><th>Error 1</th><td>0.07312665</td><td>0.0000387718</td><td>1160</td><td>–</td><td>–</td><td>–</td><td>–</td></tr><tr><th><b>Occupancy mosaics in forested areas</b></th></tr><tr><th>Individual</th><td>1.19843989</td><td>0.0011984399</td><td>1000</td><td>8.16</td><td><0.0001</td><td>14.70</td><td><0.0001</td></tr><tr><th>Side</th><td>0.01169771</td><td>0.0005848855</td><td>20</td><td>3.98</td><td><0.0001</td><td>0.74</td><td>0.0001</td></tr><tr><th>Individual × side</th><td>0.14685738</td><td>0.0001468574</td><td>1000</td><td>3.03</td><td><0.0001</td><td>11.21</td><td><0.0001</td></tr><tr><th>Error 1</th><td>0.09880745</td><td>0.0000484350</td><td>2040</td><td>–</td><td>–</td><td>–</td><td>–</td></tr><tr><th><b>Cocoa plantations</b></th></tr><tr><th>Individual</th><td>0.3269927600</td><td>0.0004808717</td><td>680</td><td>4.52</td><td><0.0001</td><td>14.14</td><td><0.0001</td></tr><tr><th>Side</th><td>0.0143644400</td><td>0.0007182221</td><td>20</td><td>6.75</td><td><0.0001</td><td>0.86</td><td>0.0017</td></tr><tr><th>Individual × side</th><td>0.0723474900</td><td>0.0001063934</td><td>680</td><td>2.39</td><td><0.0001</td><td>10.41</td><td>0.0017</td></tr><tr><th>Error 1</th><td>0.0622041800</td><td>0.0000444316</td><td>1400</td><td>–</td><td>–</td><td>–</td><td>–</td></tr></tbody></table>
Table ²: Comparison of the results of analysis of variance on the shape of scapulae (occlusal view) and pelvis (side view) in Rhipidomys mastacalis from three vegetation classes in Brazil. Correspondence asymmetry was the only method used for asymmetry analysis. in Morphological symmetry of Rhipidomys mastacalis (Mammalia, Rodentia, Cricetidae) in fragmented habitats of the Atlantic Forest in Northeastern Brazil: a study on the influence of the environment on an endemic species
<p><b>Table ²:</b> Comparison of the results of analysis of variance on the shape of scapulae (occlusal view) and pelvis (side view) in <i>Rhipidomys mastacalis</i> from three vegetation classes in Brazil. Correspondence asymmetry was the only method used for asymmetry analysis.</p><table><tbody><tr><th><b>Shape procrustes ANOVA</b></th></tr></tbody><tbody><tr><th><b>Effect Sum of squares</b></th><td><b>Mean squares</b></td><td><b>Degrees of freedom</b></td><td><i>F statistic</i></td><td><i>p -Value</i></td><td><b>Pillai tr.</b></td><td><i>p -Value</i></td></tr><tr><th><b>Scapulae</b></th></tr><tr><th><b>Forested vegetation</b></th></tr><tr><th>Individual</th><td>0.0941373400</td><td>0.0010459705</td><td>90</td><td>3</td><td><0.0001</td><td>–</td><td>–</td></tr><tr><th>Side</th><td>0.0100439600</td><td>0.0010043960</td><td>2.88</td><td>0.0037</td><td>0.0003</td><td>–</td><td>–</td></tr><tr><th>Individual × side</th><td>0.0314069500</td><td>0.0003489662</td><td>90</td><td>5.89</td><td><0.0001</td><td>4.91</td><td><0.0001</td></tr><tr><th>Error 1</th><td>0.0118544100</td><td>0.0000592721</td><td>200</td><td>–</td><td>–</td><td>–</td><td>–</td></tr><tr><th><b>Occupancy mosaics in forested areas</b></th></tr><tr><th>Individual</th><td>0.2064168200</td><td>0.0010320841</td><td>200</td><td>4.82</td><td><0.0001</td><td>7.15</td><td><0.0001</td></tr><tr><th>Side</th><td>0.0262808000</td><td>0.0026280796</td><td>10</td><td>12.28</td><td><0.0001</td><td>0.86</td><td>0.0022</td></tr><tr><th>Individual × side</th><td>0.0428160400</td><td>0.0002140802</td><td>200</td><td>2.68</td><td><0.0001</td><td>4.98</td><td><0.0001</td></tr><tr><th>Error 1</th><td>0.0335675700</td><td>0.0000799228</td><td>420</td><td>–</td><td>–</td><td>–</td><td>–</td></tr><tr><th><b>Cocoa plantations</b></th></tr><tr><th>Individual</th><td>0.2508635400</td><td>0.0009291242</td><td>270</td><td>4.07</td><td><0.0001</td><td>7.11</td><td><0.0001</td></tr><tr><th>Side</th><td>0.0256608100</td><td>0.0025660812</td><td>10</td><td>11.24</td><td><0.0001</td><td>0.87</td><td><0.0001</td></tr><tr><th>Individual × side</th><td>0.0616394000</td><td>0.0002282941</td><td>270</td><td>3.10</td><td><0.0001</td><td>5.72</td><td><0.0001</td></tr><tr><th>Error 1</th><td>0.0412323300</td><td>0.0000736292</td><td>560</td><td>–</td><td>–</td><td>–</td><td>–</td></tr><tr><th><b>Pelvis</b></th></tr><tr><th><b>Forested vegetation</b></th></tr><tr><th>Individual</th><td>0.0543411200</td><td>0.0004312787</td><td>126</td><td>4.63</td><td><0.0001</td><td></td><td></td></tr><tr><th>Side</th><td>0.0043155600</td><td>0.0003082544</td><td>14</td><td>3.31</td><td>0.0002</td><td></td><td></td></tr><tr><th>Individual × side</th><td>0.0117297800</td><td>0.0000930935</td><td>126</td><td>2.31</td><td><0.0001</td><td>6.07</td><td><0.0001</td></tr><tr><th>Error 1</th><td>0.0112943700</td><td>0.000040337</td><td>280</td><td>–</td><td>–</td><td>–</td><td>–</td></tr><tr><th><b>Occupancy mosaics in forested areas</b></th></tr><tr><th>Individual</th><td>0.1059661700</td><td>0.0003440460</td><td>308</td><td>4.42</td><td><0.0001</td><td>9.69</td><td><0.0001</td></tr><tr><th>Side</th><td>0.0049395300</td><td>0.0003528236</td><td>14</td><td>4.53</td><td><0.0001</td><td>0.85</td><td>0.0311</td></tr><tr><th>Individual × side</th><td>0.0239852500</td><td>0.0000778742</td><td>308</td><td>2.00</td><td><0.0001</td><td>6.64</td><td><0.0001</td></tr><tr><th>Error 1</th><td>0.0251368400</td><td>0.0000390324</td><td>644</td><td>–</td><td>–</td><td>–</td><td>–</td></tr><tr><th><b>Cocoa plantations</b></th></tr><tr><th>Individual</th><td>0.1292837500</td><td>0.0003420205</td><td>378</td><td>5.68</td><td><0.0001</td><td>10.51</td><td><0.0001</td></tr><tr><th>Side</th><td>0.0043550500</td><td>0.0003110747</td><td>14</td><td>5.17</td><td><0.0001</td><td>0.84</td><td>0.0016</td></tr><tr><th>Individual × side</th><td>0.0227608400</td><td>0.0000602139</td><td>378</td><td>2.24</td><td><0.0001</td><td>6.17</td><td><0.0001</td></tr><tr><th>Error 1</th><td>0.0210413800</td><td>0.0000268385</td><td>714</td><td>–</td><td>–</td><td>–</td><td>–</td></tr></tbody></table>
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