Bezier Curve Based Continuous Medial Representation for Shape Analysis: A Theoretical Framework

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10682)

Abstract

In this paper, we introduce a continuous medial representation (skeleton + radial function) to compute the description of a given bitmap image. The computational geometry based mathematical model is proposed to obtain the continuous medial representation unlike traditional algorithms which are used to estimate medial representation of bitmap image in a discrete/heuristic manner. The skeleton of the polygonal figure is represented by straight line control graph of a compound Bezier curve which results in simple and accurate description. The process of pruning is devised to eliminate the spurious branches which are quite often exist while processing shapes in real scenario and hence continuous skeleton regularization is achieved for its accurate representation.

Keywords

Skeleton Medial axis Radial function Continuous representation Bezier curve Shape analysis 

Notes

Acknowledgements

This work is supported by Russian Foundation for Basic Research, RFBR Grant No. 16-57-45054 and Department of Science and Technology Grant No. INT/RUS/RFBR/P-248.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Lomonosov Moscow State UniversityMoscowRussia
  2. 2.Mangalore UniversityMangaloreIndia

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