A Continuous and Interpretable Morphometric for Robust Quantification of Dynamic Biological Shapes.

First Authors Roua Rouatbi
Authors Roua Rouatbi, Juan-Esteban Suarez Cardona, Alba Villaronga-Luque, Jesse V Veenvliet, Ivo F. Sbalzarini
Corresponding Authors
Last Authors Ivo F. Sbalzarini
Journal Name ArXiv (ArXiv)
Volume
Issue
Article Number ArXiv:2410.21004
Open Access true
Print Publication Date
Online Publication Date 2025-10-28
Abstract We introduce the Push-Forward Signed Distance Morphometric (PF-SDM) for shape quantification in biomedical imaging. The PF-SDM compactly encodes geometric and topological properties of closed shapes, including their skeleton and symmetries. This provides robust and interpretable features for shape comparison and machine learning. The PF-SDM is mathematically smooth, providing access to gradients and differential-geometric quantities. It also extends to temporal dynamics and allows fusing spatial intensity distributions, such as genetic markers, with shape dynamics. We present the PF-SDM theory, benchmark it on synthetic data, and apply it to predicting body-axis formation in mouse gastruloids, outperforming a CNN baseline in both accuracy and speed.
Cover Image
Affiliated With Veenvliet
Selected By
Acknowledged Services
Publication Status Published
Edoc Link
Sfx Link
DOI
PubMed ID
WebOfScience Link
Alternative Full Text URL https://doi.org/10.48550/arXiv.2410.21004
Display Publisher Download Only false
Visible On MPI-CBG Website true
PDF Downloadable true
Created By thuem
Added Date 2026-01-09
Last Edited By thuem
Last Edited Date 2026-01-09 10:31:43.721
Library ID 9118
Document ID
Entry Complete true
eDoc Compliant false
Include in Edoc Report false
In Pure false
Ready for eDoc Export false
Author Affiliations Complete false
Project Name
Project URL
Grant ID
Funding Programme
Funding Organisation