$$ \def\NN{{\mathbb N}} $$
$$ \def\RR{{\mathbb R}} $$
$$ \def\CC{{\mathbb C}} $$
$$ \def\ZZ{{\mathbb Z}} $$
$$ \DeclareMathOperator*{\dom}{dom} $$
$$ \DeclareMathOperator*{\TV}{TV} $$
$$ \def\STV{\mathrm{STV}} $$
$$ \DeclareMathOperator*{\argmin}{argmin} $$
$$ \DeclareMathOperator*{\TVani}{{TV}^\text{ani}} $$
$$ \DeclareMathOperator*{\HTValpha}{{HTV}_\alpha} $$
$$ \DeclareMathOperator*{\divergence}{div} $$
$$ \newcommand\RRRR[1]{\RR^{#1} \times \RR^{#1}} $$

Homepage of Rémy Abergel

About me

main-pic2.png

I am a young researcher, in Applied Mathematics and Image Processing, working as a post-doctorate fellow at the IMAGES department of Telecom ParisTech.

My Ph.D was hosted at MAP5 Laboratory under the supervision of Lionel Moisan. I have been teaching Mathematics to first year and second year students (level L1 and L2) at I.U.T of Paris Descartes (department of Informatics) from 2013 to 2016.

Research topics

  • Image analysis, modelling, and processing
  • Total Variation based methods
  • Convex and nonsmooth optimization
  • Continuous and discrete Fourier analysis
  • Poisson noise
  • A contrario methodology
  • Floating-point arithmetic, numerical calculus

Source codes and examples

Tutorials about total variation based image processing (Scilab)