David Rochera Plata

Postdoctoral Fellow

T +34 946 567 842
F +34 946 567 843

Information of interest

  • Algebraic equations for constant width curves and Zindler curves 

    Rochera, D.Autoridad BCAM (2022-03)
    An explicit method to compute algebraic equations of curves of constant width and Zindler curves generated by a family of middle hedgehogs is given thanks to a property of Chebyshev polynomials. This extends the methodology ...
  • Generalized plane offsets and rational parameterizations 

    Rochera, D.Autoridad BCAM (2023-04-21)
    In the first part of the paper a planar generalization of offset curves is introduced and some properties are derived. In particular, it is seen that these curves exhibit good regularity properties and a study on ...
  • Offsets and front tire tracks to projective hedgehogs 

    Rochera, D.Autoridad BCAM (2022-07-25)
    There are some known properties on curves of constant width and Zindler curves and their relationship with offsets and front tire-track curves in convex geometry. In this work, a generalization of all these concepts and ...
  • On isoptics and isochordal-viewed curves 

    Rochera, D.Autoridad BCAM (2021)
    In this paper, some results involving isoptic curves and constant $\phi$-width curves are given for any closed curve. The non-convex case, as well as non-simple shapes with or without cusps are considered. Relating the ...
  • Regular polygons on isochordal-viewed hedgehogs 

    Rochera, D.Autoridad BCAM (2022)
    A curve $\alpha$ is called isochordal viewed if there is a smooth motion of a constant length chord with its endpoints along $\alpha$ such that their tangents to the curve at these points form a constant angle. In this ...
  • Zindler-type hypersurfaces in R^4 

    Martinez-Maure, Y.; Rochera, D.Autoridad BCAM (2022-09-08)
    In this paper the definition of Zindler-type hypersurfaces is introduced in $\mathbb{R}^4$ as a generalization of planar Zindler curves. After recalling some properties of planar Zindler curves, it is shown that Zindler ...

More information