Search Results for author: Axel Osses

Found 2 papers, 0 papers with code

Unsupervised reconstruction of accelerated cardiac cine MRI using Neural Fields

no code implementations24 Jul 2023 Tabita Catalán, Matías Courdurier, Axel Osses, René Botnar, Francisco Sahli Costabal, Claudia Prieto

Cardiac cine MRI is the gold standard for cardiac functional assessment, but the inherently slow acquisition process creates the necessity of reconstruction approaches for accelerated undersampled acquisitions.

Lipschitz stability for Backward Heat Equation with application to Fluorescence Microscopy

no code implementations3 Dec 2020 Pablo Arratia, Matias Courdurier, Evelyn Cueva, Axel Osses, Benjamin Palacios

Abstract of the first version: In this work, we study a Lipschitz stability result in the reconstruction of a compactly supported initial temperature for the heat equation in $\mathbb{R}^n$, from measurements along a positive time interval and over an open set containing its support.

Analysis of PDEs 35B35, 35K05, 35R30

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