no code implementations • 24 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.
no code implementations • 3 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