3 papers
cs.CV2026
The Push-Forward Transform for Continuous and Robust Comparison of Dynamic Shapes
Roua Rouatbi, Juan-Esteban Suarez Cardona, Ivo F. Sbalzarini
We introduce a mathematical framework for shape comparison based on mapping functions from the shape domain to a common reference domain. This Push-Forward Transform enables invari…
math.NA2026
A Variational Framework for the Complexity of PDE Solutions
Juan Esteban Suarez Cardona, Holger Boche, Gitta Kutyniok
Partial Differential Equations (PDEs) are fundamental mathematical models for describing physical phenomena, yet most PDEs of practical interest require numerical approximations. T…
cs.CV2025
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…