Wavelet methods for shape perception in electro-sensing

Irène Waldspurger (1) , Habib Ammari (2) , Stéphane Mallat (3) , Han Wang (4)

1 MOKAPLAN - Méthodes numériques pour le problème de Monge-Kantorovich et Applications en sciences sociales
2 ENS-PSL - École normale supérieure - Paris
3 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
4 DMA - Département de Mathématiques et Applications - ENS Paris

This paper aims at presenting a new approach to the electro-sensing problem using wavelets. It provides an efficient algorithm for recognizing the shape of a target from micro-electrical impedance measurements. Stability and resolution capabilities of the proposed algorithm are quantified in numerical simulations. Mathematics Subject Classification (MSC2000): 35R30, 35B30

Mots clés: classification; electro-sensing; wavelets; shape descriptors; recognition

Domaines: Analyse numérique [math.NA]

Irène Waldspurger, Habib Ammari, Stéphane Mallat, Han Wang. Wavelet methods for shape perception in electro-sensing. Habib Ammari; Yves Capdeboscq; Hyeonbae Kang; Imbo Sim. Imaging, Multi-scale and High Contrast Partial Differential Equations, 2016, 978-1-4704-1923-3. ⟨hal-01645092⟩