|
5 | 5 | \hline |
6 | 6 | \textbf{Step} & \textbf{Purpose} \\ |
7 | 7 | \hline |
8 | | -Mask-to-Graph Conversion & Convert each segmented DNA molecule in the mask into a spatial graph representation, where nodes correspond to pixels along the molecule with their (x, y) coordinates, and edges encode connectivity. \\ |
| 8 | +Mask-to-Graph Conversion & Converts each segmented DNA molecule in the mask into a spatial graph representation, where nodes correspond to pixels along the molecule with their $(x, y)$ coordinates, and edges encode connectivity. \\ |
9 | 9 | \hline |
10 | | -Repair Connectivity (1) & Operate on spatial graph representations to address fragmentation caused by segmentation errors in thin DNA structures, by selectively adding edges between relevant node pairs to restore connectivity. \\ |
| 10 | +Repair Connectivity (I) & Operates on spatial graph representations to address fragmentation caused by segmentation errors or signal dropout in thin DNA structures, by adding edges between relevant node pairs to restore connectivity. \\ |
11 | 11 | \hline |
12 | | -Prune Short Cycles & Operate on spatial graph representations to remove spurious short cycles, using a predefined cycle-length threshold. \\ |
| 12 | +Prune Short Cycles & Operates on spatial graph representations to remove spurious short cycles, using a predefined cycle-length threshold. \\ |
13 | 13 | \hline |
14 | | -Prune Short Branches & Operate on spatial graph representations to remove spurious short branches, using a predefined branch-length threshold. \\ |
| 14 | +Prune Short Branches & Operates on spatial graph representations to remove spurious short branches, using a predefined branch-length threshold. \\ |
15 | 15 | \hline |
16 | | -Prune by Thinkness & Clean the spatial graph representations by removing nodes associated with abnormally thick regions, leveraging the prior that DNA structures are thin and thicker regions are typically spurious. \\ |
| 16 | +Prune by Thinkness & Cleans the spatial graph representations by removing nodes associated with abnormally thick regions, leveraging the prior that DNA structures are thin and thicker regions are typically spurious. \\ |
17 | 17 | \hline |
18 | | -Repair Connectivity (2) & Further refine spatial graph representations by performing a second connectivity repair step, using different parameters from the first repair stage. \\ |
| 18 | +Prune Small Components & Discards small spatial graph representations that are likely spurious. \\ |
19 | 19 | \hline |
20 | | -Prune Small Components & Discard small spatial graph representations that are likely spurious. \\ |
| 20 | +Repair Connectivity (II) & Further refines spatial graph representations by performing a second connectivity repair step, using different parameters from the first repair stage. \\ |
21 | 21 | \hline |
22 | | -Graph-to-Mask Conversion & Convert the refined spatial graph representations back into mask form for downstream analysis or visualization. \\ |
| 22 | +Graph-to-Mask Conversion & Converts the refined spatial graph representations back into mask form. \\ |
23 | 23 | \hline |
24 | 24 | \end{tabular} |
25 | 25 | \label{tab:correction_pipeline} |
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