HistGramBench：多模态模型将历史数学图表重绘为 TikZ 时的结构还原评测基准

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Abstract:Digital libraries preserve mathematical books printed from the sixteenth to the twentieth century, but the lettered diagrams in them, the figures on which Euclidean proofs depend, remain scanned images whose content cannot be searched. Redrawing such a diagram as a short drawing program would record which points lie on which lines and circles. But a printed plate offers no source code against which the redrawing could be checked. We introduce HistGramBench, a benchmark of 2,507 diagrams from 95 works printed between 1551 and 1933 in eight languages. For each diagram, two AI models from different providers agree on the facts a reader takes from the figure, such as which lines are parallel or where two lines meet, and every redrawing is checked against those facts on the model's own drawing. We evaluate six affordable AI models. The best recovers about three fifths of these facts, and most of what the models miss comes from programs that never produce a drawing. Parallels and tangencies are the hardest relations to reproduce. HistGramBench gives historians and librarians a way to measure when such tools can make old mathematical diagrams searchable.

Comments:	34 pages, 8 figures, 12 tables. Code: this https URL ; data: this https URL
Subjects:	Computer Vision and Pattern Recognition (cs.CV); Computation and Language (cs.CL); Digital Libraries (cs.DL)
MSC classes:	68T45, 68T07, 01-08
ACM classes:	I.2.10; H.3.7; I.2.7
Cite as:	arXiv:2611.00081 [cs.CV]
	(or arXiv:2611.00081v1 [cs.CV] for this version)
	https://doi.org/10.48550/arXiv.2611.00081 arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Quang Tran Minh [view email]
[v1] Sun, 18 Oct 2026 15:26:02 UTC (3,268 KB)