Journal Papers

• C.-G. Lucas and J. Gilles (2025)
  Multidimensional empirical wavelet transform
  SIAM Journal on Imaging Sciences, 18(2), 906-935 (pdf)

• C.-G. Lucas and J. Gilles (2024)
  Demons registration for 2D empirical wavelet transforms
  Foundations, 4(4), 690-703 (pdf)

• C.-G. Lucas, G. Didier, H. Wendt and P. Abry (2024)
  Multivariate selfsimilarity: Multiscale eigenstructures for selfsimilarity parameter estimation
  IEEE Transactions on Signal Processing, 72, 1739–1749 (pdf)

• C.-G. Lucas, B. Pascal, N. Pustelnik and P. Abry (2023)
  Hyperparameter selection for Discrete Mumford-Shah
  Signal, Image and Video Processing, 17(5), 1897-1904 (pdf)

• P. Abry, N. Pustelnik, S. Roux, P. Jensen, P. Flandrin, R. Gribonval, C.-G. Lucas, E. Guichard, P. Borgnat and N. Garnier (2020)
  Spatial and temporal regularization to estimate COVID-19 reproduction number R(t): Promoting piecewise smoothness via convex optimization
  Plos one, 15(8), e0237901 (pdf)

Conference Papers

• C.-G. Lucas, H. Wendt, P. Abry and G. Didier
  Epileptic seizure prediction from eigen-wavelet multivariate selfsimilarity analysis of multi-channel EEG signals
  European Signal Processing Conference (EUSIPCO)
  Helsinki, Finland, September 4^th-8^th 2023 (pdf, poster)

• C.-G. Lucas, H. Wendt, P. Abry, G. Didier and O. Orejola
  Bootstrap based test for the unimodality of estimated Hurst exponents. Performance assessment in a high-dimensional analysis setting
  Colloque Francophone de Traitement du Signal et des Images (GRETSI)
  Grenoble, France, August 28^th- September 1^st 2023 (pdf, poster)

• C.-G. Lucas, H. Wendt, P. Abry and G. Didier
  Multivariate time-scale bootstrap for testing the equality of selfsimilarity parameters
  Colloque Francophone de Traitement du Signal et des Images (GRETSI)
  Nancy, France, September 6^th-9^th 2022 (pdf, poster)

• C.-G. Lucas, P. Abry, H. Wendt and G. Didier
  Drowsiness detection from polysomnographic data using multivariate selfsimilarity and eigen-wavelet analysis
  Engineering in Medicine and Biology Conference (EMBC)
  Glasgow, Scotland, July 11^th-15^th 2022 (pdf, slides)

• C.-G. Lucas, P. Abry, H. Wendt and G. Didier
  Counting the number of different scaling exponents in multivariate scale-free dynamics: Clustering by bootstrap in the wavelet domain
  International Conference on Acoustics, Speech, & Signal Processing (ICASSP)
  Singapore, May 7^th-13^th 2022 (pdf, slides, poster)

• C.-G. Lucas, P. Abry, H. Wendt and G. Didier
  Bootstrap for testing the equality of selfsimilarity exponents across multivariate time series
  European Signal Processing Conference (EUSIPCO)
  Dublin, Ireland, August 23^th-27^th 2021 (pdf, slides)

Thesis

• École Normale Supérieure de Lyon
  Multivariate self-similarity: estimation of the self-similarity exponents, bootstrap test for the equality of exponents and applications
  Lyon, France, October 19^th 2023 (pdf, slides)