Skip to main content

Extraction of Logical Structure from Articles in Mathematics

  • Conference paper
Mathematical Knowledge Management (MKM 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3119))

Included in the following conference series:

Abstract

We propose a mathematical knowledge browser which helps people to read mathematical documents. By the browser printed mathematical documents can be scanned and recognized by OCR (Optical Character Recognition). Then the meta-information (e.g. title, author) and the logical structure (e.g. section, theorem) of the documents are automatically extracted.

The purpose of this paper is to show the extraction method of logical structure specialized for mathematical documents. We implemented this method in INFTY which is an integrated OCR system for mathematical documents. In order to show the effectiveness of the method we made a correct database from an existing mathematical OCR database, and made an experiment.

This work is (partially) supported by Kyushu University 21st Century COE Program, Development of Dynamic Mathematics with High Functionality, of the Ministry of Education, Culture, Sports, Science and Technology of Japan.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Adams, A.A.: Digitisation, Representation and Formalisation: Digital Libraries of Mathematics. In: Asperti, A., Buchberger, B., Davenport, J.H. (eds.) MKM 2003. LNCS, vol. 2594. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  2. Baba, Y., Suzuki, M.: An Annotated Corpus and a Grammar Model of Theorem Description. In: Asperti, A., Buchberger, B., Davenport, J.H. (eds.) MKM 2003. LNCS, vol. 2594, pp. 93–104. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  3. Buchberger, B., Dupre, C., Jebelean, T., Kriftner, F., Nakagawa, K., Vasaru, D., Windsteiger, W.: The Theorema Project: A Progress Report. In: Symbolic Computation and Automated Reasoning, pp. 98–113. A.K. Peters (2001)

    Google Scholar 

  4. Kohlhase, M.: OMDoc: An Infrastructure for OpenMath Content Dictionary Information. SIGSAM Bulletin 34(2), 43–48 (2000)

    Article  Google Scholar 

  5. Mao, S., Rosenfeld, A., Kanungo, T.: Document Structure Analysis Algorithms: A Literature Survey. In: Document Recognition and Retrieval X, Proceedings of SPIE, vol. 5010, pp. 197–207 (January 2003)

    Google Scholar 

  6. Rudnicki, P.: An Overview of the Mizar Project. In: Proceedings of the 1992 Workshop on Types for Proofs and Programs, Bastad (1992), http://mizar.org

  7. Summers, K.M.: Automatic Discovery of Logical Document Structure. PhD thesis, Cornell University (1998)

    Google Scholar 

  8. Suzuki, M., Tamari, F., Fukuda, R., Uchida, S., Kanahori, T.: INFTY – An Integrated OCR System for Mathematical Documents. In: ACM Symposium on Document Engineering (DocEng 2003), November 20-22, 2003, Grenoble, France (2003)

    Google Scholar 

  9. Uchida, S., Nomura, A., Suzuki, M.: Quantitative Analysis of Mathematical Documents (submitted)

    Google Scholar 

  10. Wolfram, S.: The Mathematica Book, 5th edn. Wolfram Media, Inc. (2003)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Nakagawa, K., Nomura, A., Suzuki, M. (2004). Extraction of Logical Structure from Articles in Mathematics . In: Asperti, A., Bancerek, G., Trybulec, A. (eds) Mathematical Knowledge Management. MKM 2004. Lecture Notes in Computer Science, vol 3119. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27818-4_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-27818-4_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23029-8

  • Online ISBN: 978-3-540-27818-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics