Abstract
This work suggests a new variational approach to the task of computer aided segmentation and restoration of incomplete characters, residing in a highly noisy document image. We model character strokes as the movement of a pen with a varying radius. Following this model, in order to fit the digital image, a cubic spline representation is being utilized to perform gradient descent steps, while maintaining interpolation at some initial (manually sampled) points. The proposed algorithm was used in the process of restoring approximately 1000 ancient Hebrew characters (dating to ca. 8th–7th century BCE), some of which are presented herein and show that the algorithm yields plausible results when applied on deteriorated documents.
Original language | English |
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Pages (from-to) | 12 - 24 |
Number of pages | 13 |
Journal | CAD Computer Aided Design |
Volume | 89 |
State | Published - 2017 |
Bibliographical note
Funding Information:The research leading to the results reported here received funding from the Israel Science Foundation F.I.R.S.T. (Bikura) Individual Grant No. 644/08 as well as the Israel Science Foundation Grant no. 1457/13. The research was also partially funded by the European Research Council under the European Community's Seventh Framework Programme (FP7/2007–2013)/ ERC grant agreement no. 229418, and by an Early Israel grant (New Horizons project), Tel Aviv University. This study was also supported by a generous donation of Mr. Jacques Chahine, made through the French Friends of Tel Aviv University.
Publisher Copyright:
© 2017 Elsevier Ltd
Keywords
- Computer aided design
- Hebrew ostraca
- First temple period
- Historical document analysis