On geometric invariants of plane curves

Authors

  • Catarina Mendes de Jesus Sánchez UFJF
  • Pouya Mehdipour UFV
  • Mostafa Salarinoghabi UFV

DOI:

https://doi.org/10.5540/03.2022.009.01.0286

Keywords:

Geometric modeling, plane curves, inflections, vertices, graphs of stable maps.

Abstract

In this paper, we study some geometric invariants of closed plane curves, that can help us classify these curves. We focus on two invariants: the number of inflection points and the number of vertex points. We intend to end models of curves with a number of predefined double points and with the smallest possible number of inflection points and vertex points.

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References

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Published

2022-12-08

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Section

Trabalhos Completos