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IGG: Image Generation Informed by Geodesic Dynamics in Deformation Spaces.

Created on 02 Oct 2026

Authors

Nian Wu, Nivetha Jayakumar, Jiarui Xing, Miaomiao Zhang

Published in

Information processing in medical imaging : proceedings of the ... conference. Volume 15829. Pages 232-246. Epub Aug 03, 2025.

Abstract

Generative models have recently gained increasing attention in image generation and editing tasks. However, they often lack a direct connection to object geometry, which is crucial in sensitive domains such as computational anatomy, biology, and robotics. This paper presents a novel framework for Image Generation informed by Geodesic dynamics (IGG) in deformation spaces. Our IGG model comprises two key components: (i) an efficient autoencoder that explicitly learns the geodesic path of image transformations in the latent space; and (ii) a latent geodesic diffusion model that captures the distribution of latent representations of geodesic deformations conditioned on text instructions. By leveraging geodesic paths, our method ensures smooth, topology-preserving, and interpretable deformations, capturing complex variations in image structures while maintaining geometric consistency. We validate the proposed IGG on plant growth data and brain magnetic resonance imaging (MRI). Experimental results show that IGG outperforms the state-of-the-art image generation/editing models with superior performance in generating realistic, high-quality images with preserved object topology and reduced artifacts. Our code is publicly available at https://github.com/nellie689/IGG.

PMID:
42819657
Bibliographic data and abstract were imported from PubMed on 02 Oct 2026.

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