News
Demons registration for 2D empirical wavelet transforms
Demons-based estimation of homeomorphism for adaptive wavelet transforms. Published in Foundations.
Preprint Toolbox More detailsEmpirical wavelet transform
Definition of a multidimensional adaptative wavelet transform using diffeomorphisms. Published in SIAM Journal on Imaging Sciences.
Preprint Toolbox More detailsMultivariate self-similarity
Estimation of the multivariate self-similarity parameters for operator fractional Brownian motions. Published in TSP.
Paper Toolbox More detailsContour detection in images
Automatic selection of the Discrete Mumford-Shah functional hyperparameter for parameter-free image reconstruction preserving contours. Published in SIVP.
Paper Toolbox More detailsActivity
I am currently a Postdoc in the Department of Mathematics & Statistics at San Diego State University, California, USA. I am working on the 2D empirical wavelet transform under the supervision of Jérôme Gilles. Empirical wavelets consist of adaptative wavelet filterbanks built from a partitioning of the Fourier domain of the data under study. I am developing wavelet frames defined on selected Fourier supports from any wavelet kernel using mappings.
Research topics
- Multivariate self-similarity: scaling exponents, wavelet transform, bootstrapping, statistical hypothesis testing, spectral clustering, high dimension.
- Image denoising and contour detection: Mumford-Shah model, hyperparameter tuning.
