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cs.CV2024
A Continuous and Interpretable Morphometric for Robust Quantification of Dynamic Biological Shapes
Roua Rouatbi, Juan-Esteban Suarez Cardona, Alba Villaronga-Luque +2
We introduce the Push-Forward Signed Distance Morphometric (PF-SDM) for shape quantification in biomedical imaging. The PF-SDM compactly encodes geometric and topological propertie…
math.NA2024
Hybrid Surrogate Models: Circumventing Gibbs Phenomenon for Partial Differential Equations with Finite Shock-Type Discontinuities
Juan-Esteban Suarez Cardona, Shashank Reddy, Michael Hecht
We introduce the concept of Hybrid Surrogate Models (HSMs) -- combining multivariate polynomials with Heavyside functions -- as approximates of functions with finitely many jump di…