Skip to main content

Feedforward Back Propagation Neural Network (FFBPNN) Based Approach for the Identification of Handwritten Math Equations

  • Conference paper
  • First Online:
Image Processing and Capsule Networks (ICIPCN 2020)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1200))

Included in the following conference series:

Abstract

The demand for the identification of manually written mathematical equations is increasing day by day. Despite the hype, due to the increasing ambiguity in recognition, 2D and touching symbols, and complication mathematical equations, the recognition of the emerging mathematical equations has become a challenging task. The statistical, as well as complex features such as skew, kurtosis, entropy, mean, variance, standard deviation, has been considered. The classification and training have been provided using neural networks (NN) and the recognition rate has been dependent on the classifier used as well as features to be extracted. Speed of execution, efficiency and recognition rate have been enhanced by utilizing feed-forward back propagation neural network (FBBPNN) with training function gradient descent and learning rule of momentum and adaptive learning. The system can take scanned images of handwritten mathematical equations from simple through complex equations and classifies it according to the type of equations e.g. straight-line equation, the law of indices, gravity law, roots of quadratic expressions, area of a circle, convolution summation and convolution integration.

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 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
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

References

  1. Nguyen, C.T., Nakagawa, M.: An improved segmentation of online english handwritten text using recurrent neural network. In: 3rd IAPR Asian Conference on Pattern Recognition, pp. 176–180 (2015). ISBN 978-1-4799-6100-9

    Google Scholar 

  2. Emambakhsh, M., He, Y., Nabney, I.: Handwritten and machine-printed text discrimination using template matching approach. In: IEEE, 12th IAPR Workshop on Document Analysis Systems (2016). ISBN 978-1-5090-1792-8, 399-404

    Google Scholar 

  3. Ma, C., Zhang, H.: Effective handwritten digit recognition based on multi-feature extraction and deep analysis. In: IEEE, 12th International Conference on the Fuzzy System and Knowledge Discovery (FSKD) (2015). ISBN 978-1-4673-7682-2,297-301

    Google Scholar 

  4. Hussien, R.S., Elkhidir, A.A., Elnourani, M.G.: Optical character recognition of Arabic handwritten characters using neural network. In: IEEE, International Conference on Computing, Control, Networking, Electronics, and Embedded System Engineering (ICCNEEE), 7–9 September 2015. https://doi.org/10.1109/iccneee.2015.7381412. ISBN 978-1-4673-7869-7

  5. Pan, S., Wang, Y., Liu, C., Ding, X.: A discriminative cascade CNN model for offline handwritten digit recognition. In: IEEE, 14th IAPR International Conference on Machine Vision Applications, Japan, pp. 501–504 (2015). ISBN 978-4-901122-14-6

    Google Scholar 

  6. Pujari, P., Majhi, B.: A comparative study of classifier on recognition of offline handwritten odia numerals. In: IEEE, International Conference on Electrical, Electronics, Signals, Communication and Optimization (EESCO) (2015). ISBN 978-1-4799-7678-2

    Google Scholar 

  7. Zanibbi, R., Blostein, D., Cordy, J.R.: Recognizing mathematical expressions using tree transformation. IEEE Trans. Pattern Anal. Mach. Intell. 24(11), 1455–1467 (2002). https://doi.org/10.1109/tpami.2002.1046157. 1939-3539

    Article  Google Scholar 

  8. Alvaro, F., Sanchez, J.-A., Benedi, J.-M.: Classification of on-line mathematical symbols with hybrid features and recurrent neural networks. In: IEEE 12th International Conference on Document Analysis and Recognition (2013). https://doi.org/10.1109/icdar.2013.203. ISBN 978-0-7695-4999-6

  9. Celik, M., Yanikoglu, B.: Handwritten mathematical formula recognition using a statistical approach. In: 2011, IEEE 19th Signal Processing and Communications Applications Conference (SIU) (2011). https://doi.org/10.1109/siu.2011.5929696. ISBN 978-1-4577-0463-5

  10. Zanibbi, R., Mouchere, H., Blostein, D.: Stroke- based performance metrics for handwritten mathematical expressions. In: IEEE, International Conference on Document Analysis and Recognition (2011). https://doi.org/10.1109/icdar.2011.75. ISBN 978-0-7695- 4520-2

  11. Iffath Fathima, S., Ashoka, K.: Machine learning approach for recognition of mathematical symbols. Int. J. Sci. Res. Eng. Technol. (IJSRET) 6(8) (2017). ISSN 2278 – 0882

    Google Scholar 

  12. Tapia, E., Rojas, R.: Recognition of on-line handwritten mathematical expressions using a minimum spanning tree construction and symbol dominance. In: Lladós, J., Kwon, Y.-B. (eds.) GREC 2003. LNCS, vol. 3088, pp. 329–340. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  13. Naik, S., Metkewar, P.: Recognizing offline handwritten Mathematical Expressions (ME) based on a predictive approach of segmentation using K-NN classification. Int. J. Technol. 3, 345–354 (2015). https://doi.org/10.14716/ijtech.v6i3.1069. ISSN 2086-9614

    Article  Google Scholar 

  14. He, W., Luo, Y., Yin, F., Hu, H., Han, J., Ding, E., Liu, C.L.: Context-aware mathematical expression recognition: an end-to-end framework and a benchmark. In: 2016, IEEE 23rd International Conference on Pattern Recognition (ICPR) (2016). https://doi.org/10.1109/icpr.2016.7900135. ISBN 978-1-5090-4847-2

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sagar Shinde .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Shinde, S., Wadhwa, L., Bhalke, D. (2021). Feedforward Back Propagation Neural Network (FFBPNN) Based Approach for the Identification of Handwritten Math Equations. In: Chen, J.IZ., Tavares, J.M.R.S., Shakya, S., Iliyasu, A.M. (eds) Image Processing and Capsule Networks. ICIPCN 2020. Advances in Intelligent Systems and Computing, vol 1200. Springer, Cham. https://doi.org/10.1007/978-3-030-51859-2_69

Download citation

Publish with us

Policies and ethics