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ours (row-major)
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naive top-to-bottom
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column-major
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kraken
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tesseract
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htrflow (their own)
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PP-StructureV3 (plain OCR)
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PP-StructureV3 (table-rec)
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Table Transformer (TATR)
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{ "tau": 0.688, "detF": 1, "cov": 1, "valid": 198, "n": 198 }
{ "tau": 0.664, "detF": 1, "cov": 1, "valid": 198, "n": 198 }
{ "tau": 0.208, "detF": 1, "cov": 1, "valid": 198, "n": 198 }
{ "tau": null, "detF": 0.128, "cov": 0.095, "valid": 0, "n": 198 }
{ "tau": null, "detF": 0.03, "cov": 0.019, "valid": 0, "n": 198 }
{ "tau": null, "detF": 0.012, "cov": 0.006, "valid": 0, "n": 198 }
{ "tau": 0.878, "detF": 0.337, "cov": 0.339, "valid": 165, "n": 195, "ours_same_subset": 0.854 }
{ "tau": 0.639, "detF": null, "cov": "GT-lines", "valid": 127, "n": 127 }
{ "tau": 0.677, "detF": null, "cov": "GT-lines", "valid": 198, "n": 198 }

Reading order in historical documents

A small, reproducible study of one question: on a historical page with more than one column, the hard part is usually not finding the text lines, but deciding the order to read them in, and that order is what a text recogniser is ultimately given.

What is measured

For each page and system: detection (did it find the lines? F and coverage at IoU ≥ 0.5) and reading order (Kendall τ between the system's order and the ground-truth document order, on matched lines). A validity guard reports τ only where a system matched at least 15 lines and 30% of the page.

Data

  • Court hands (columns): Göta hovrätt and Trolldomskommissionen, from Riksarkivet's own open datasets.
  • Handwritten tables: HisClima (log of the USS Jeannette Arctic expedition, 1879-1881, CC-BY-4.0), 198 pages with row/column cell ground truth.

Results on the tables (198 pages)

System Reading-order τ Detection F / coverage Pages scored
PP-StructureV3 (plain OCR) 0.88 0.34 / 34% 165
A small row-by-row step 0.69 full coverage 198
Table Transformer (Microsoft) 0.68 given the lines 198
Naive top-to-bottom 0.66 full coverage 198
PP-StructureV3 (table recognition) 0.64 given the lines 127
Column-major (wrong mode) 0.21 full coverage 198
kraken few lines found 0.13 / 9% 0
Tesseract few lines found 0.03 / 2% 0
htrflow few lines found 0.01 / 0.6% 0

A few honest observations:

  • On these dense handwritten tables, most detectors find very few of the lines. Detection, not ordering, is the harder problem there.
  • PP-Structure's plain-OCR order shows the highest τ, but only over the 34% of lines it finds. On those same lines the simple step scores 0.85, about level. It reflects coverage, not a better order.
  • Among methods that order every line, the simple step is level with Microsoft's Table Transformer and a little above the others. They all reach the same ceiling (τ ≈ 0.68), because about 86% of neighbouring rows overlap vertically on these wide handwritten pages. That is a shared open problem, not a weakness of one method.

On the two-column court hands detection is easy for everyone and only the order differs: htrflow's out-of-the-box pipeline reads across the columns on about half the pages, while reading down each column first matches the ground truth.

Author

Abhishek Jha. MIT licensed. Comments and collaboration welcome.

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