Comparison of the Root Canal Curvatures of Human Teeth with the Curvatures of the Resin Blocks Used as Models for Training

  • J. V. BeltránEmail author
  • B. Buenrostro
  • L. Forner
  • O. Gil-Medrano
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 276)


In this paper we develop a method to associate a function curvature to human teeth roots.These functions are calculated from radiographs using mathematical software. We use this procedure to compare the curvatures of the roots with the curvatures of the resin blocks that are used for learning. The comparison is made by calculating the distances of the corresponding functions in the \(L_1\) metric.


Plane curves Curvature Root canal Human teeth 

2010 Mathematics Subject Classification

Primary: 53A04 Secondary: 53A99 



The authors are indebted to Juan Monterde for his precious help with the Mathematica notebooks.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • J. V. Beltrán
    • 1
    Email author
  • B. Buenrostro
    • 2
  • L. Forner
    • 3
  • O. Gil-Medrano
    • 1
  1. 1.Department of MathematicsUniversity of ValenciaValenciaSpain
  2. 2.Private Practice in DentistryValenciaSpain
  3. 3.Department of StomatologyUniversity of ValenciaValenciaSpain

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