Abstract
This paper presents a scheme to represent shape of an object using formal rules describing regular grammar. We use bicubic Bezier curves as the geometric primitives of the boundary of object. Production rules describing regular grammar are then extracted based upon the relation among the Bezier curves obtained. Rules thus obtained represent the knowledge of shape of object.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ballard, D.H., Brown, C.M.: Computer Vision. Prentice-Hall, Englewood Cliffs (1982)
Feder, J.: Plex Languages. Information Sciences 3, 225–241 (1971), doi:10.1016/S0020-0255(71)80008-7
Fu, K.S.: Syntactic Pattern Recognition and Applications. Prentice-Hall, Englewood Cliffs (1982)
Gonzalez Rafael, C., Woods Richard, E.: Digital Image Processing. Prentice-Hall (2002)
Feng, H., Chun, Z.S.: Bottom-Up/Top-Down Image Parsing with Attribute Grammar. IEEE Trans. Pattern Anal. Mach. Intell. 31(1), 59–73 (2009), doi:10.1109/TPAMI.2008.65
Khan, M.: Approximation of data using cubic Bezier curve least square fitting (2007), http://130.235.212.213/trac/raw-attachment/wiki/BezierPaths/cubicbezierleastsquarefit.pdf (accessed April 30, 2012)
Lin, W.C., Fu, K.S.: A Syntactic Approach to 3-D Object Representation. IEEE Trans. Pattern Anal. Mach. Intell. 6(3), 351–364 (1984), doi:10.1109/TPAMI.1984.4767528
Pratt William, K.: Digital Image Processing, 4th edn. John Wiley & Sons Inc. (2007)
Lejun, S., Hao, Z.: Curve Fitting With Bezier Cubics. CVGIP: Graphical Model and Image Processing 58(3), 223–232 (1996), doi:10.1006/gmip.1996.0019
Sun, Z., Wang, W., Zhang, L., Liu, J.: Sketch Parameterization Using Curve Approximation. In: Liu, W., Lladós, J. (eds.) GREC 2005. LNCS, vol. 3926, pp. 334–345. Springer, Heidelberg (2006)
Yao, B., Yang, X., Wu, T.: Image parsing with stochastic grammar: The Lotus Hill dataset and inference scheme. In: IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, CVPRW 2009, p. 8 (2009), doi:10.1109/CVPR.2009.5204331
Zhang, D., Lu, G.: Review of shape representation and description techniques. Pattern Recognition 37(1), 1–19 (2004), doi:10.1016/j.patcog.2003.07.008
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer India
About this paper
Cite this paper
Jalan, S., Chowdhury, P.R., Shukla, K.K. (2013). Syntactic Representation of Shape of Object Using Regular Grammar. In: Kumar M., A., R., S., Kumar, T. (eds) Proceedings of International Conference on Advances in Computing. Advances in Intelligent Systems and Computing, vol 174. Springer, New Delhi. https://doi.org/10.1007/978-81-322-0740-5_28
Download citation
DOI: https://doi.org/10.1007/978-81-322-0740-5_28
Publisher Name: Springer, New Delhi
Print ISBN: 978-81-322-0739-9
Online ISBN: 978-81-322-0740-5
eBook Packages: EngineeringEngineering (R0)