High-Order Integration on regular triangulated manifolds reaches Super-Algebraic Approximation Rates through Cubical Re-parameterizations

G Zavalani, O Sander, M Hecht - arxiv preprint arxiv:2311.13909, 2023 - arxiv.org
We present a novel methodology for deriving high-order quadrature rules (HOSQ) designed
for the integration of scalar functions over regular embedded manifolds. To construct the …

Push-Forward Signed Distance Functions enable interpretable and robust continuous shape quantification

R Rouatbi, JE Suarez, IF Sbalzarini - arxiv preprint arxiv:2410.21004, 2024 - arxiv.org
We introduce the Push-Forward Signed Distance Morphometric (PF-SDM), a novel method
for shape quantification in biomedical imaging that is continuous, interpretable, and invariant …