Andriamahenina Ramanantoanina (ESR12)

Education:

2020 – today Ph.D. in informatics
USI – Università della Svizzera italiana, Lugano, Switzerland
Advisor: Prof. Kai Hormann
2017 – 2019 M.Sc. in Mathematics, with distinction
CEU – Central European University, Budapest, Hungary
Advisor: Prof. András Némethi
2016 – 2017 M.Sc. in Mathematical Science
AIMS – African Institute for Mathematical Sciences, South Africa
Advisors: Prof. Balázs Szendröi, Dr. Alberto Cazzaniga
2014 – 2015 Honours Degree in Mathematics
University of Antananarivo, Mathematics Department, Madagascar
Specialised in Algebra, Geometry and Number theory
2013 – 2014 Bachelor Degree in Mathematics
University of Antananarivo, Mathematics Department, Madagascar

Award:
2019 – Outstanding Academic Achievement Award, CEU, Budapest.

Research interests:
Rational Interpolation, Curve Design, Geometric Design, Algebraic Geometry and Topology, Singularity Theory.


Project: Barycentric rational curves and surfaces.

Barycentric rational interpolation has recently been shown to be a promising alternative to polynomial, spline, and other interpolation methods, regarding approximation order, stability, and efficient evaluation. While this approach is well understood by now in the functional setting, the main goal of this project is to consider the parametric setting. We will first extend the idea of barycentric rational interpolation to open curves and parametric freeform surfaces and then investigate the generalisation to closed curves and surfaces. To achieve this goal, we will develop the mathematical background as well as efficient algorithms for handling this kind of curves and surfaces, so that they can be used for geometric design and engineering analysis.

Expected results: We will develop a new kind of rational curve and surface representation with favourable properties. We will derive theoretical results regarding approximation order and stability, as well as practical results in terms of efficient evaluation and manipulation algorithms.

Advisor: Kai Hormann
Institution: Università della Svizzera italiana, Lugano, Switzerland
Secondments are planned at SINTEF (Oslo, Norway) and at the industrial member GeometryFactory (Sophia-Antipolis, France).


Publications

  • Under preparation