FLOWING: Implicit Neural Flows for Structure-Preserving Morphing

Fuente: arXiv
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Autores principales: Bizzi, Arthur, Grynberg, Matias, Matias, Vitor, Perazzo, Daniel, Lima, João Paulo, Velho, Luiz, Gonçalves, Nuno, Pereira, João, Schardong, Guilherme, Novello, Tiago
Formato: Preprint
Publicado: 2025
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author Bizzi, Arthur
Grynberg, Matias
Matias, Vitor
Perazzo, Daniel
Lima, João Paulo
Velho, Luiz
Gonçalves, Nuno
Pereira, João
Schardong, Guilherme
Novello, Tiago
author_facet Bizzi, Arthur
Grynberg, Matias
Matias, Vitor
Perazzo, Daniel
Lima, João Paulo
Velho, Luiz
Gonçalves, Nuno
Pereira, João
Schardong, Guilherme
Novello, Tiago
contents Morphing is a long-standing problem in vision and computer graphics, requiring a time-dependent warping for feature alignment and a blending for smooth interpolation. Recently, multilayer perceptrons (MLPs) have been explored as implicit neural representations (INRs) for modeling such deformations, due to their meshlessness and differentiability; however, extracting coherent and accurate morphings from standard MLPs typically relies on costly regularizations, which often lead to unstable training and prevent effective feature alignment. To overcome these limitations, we propose FLOWING (FLOW morphING), a framework that recasts warping as the construction of a differential vector flow, naturally ensuring continuity, invertibility, and temporal coherence by encoding structural flow properties directly into the network architectures. This flow-centric approach yields principled and stable transformations, enabling accurate and structure-preserving morphing of both 2D images and 3D shapes. Extensive experiments across a range of applications - including face and image morphing, as well as Gaussian Splatting morphing - show that FLOWING achieves state-of-the-art morphing quality with faster convergence. Code and pretrained models are available at http://schardong.github.io/flowing.
format Preprint
id arxiv_https___arxiv_org_abs_2510_09537
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle FLOWING: Implicit Neural Flows for Structure-Preserving Morphing
Bizzi, Arthur
Grynberg, Matias
Matias, Vitor
Perazzo, Daniel
Lima, João Paulo
Velho, Luiz
Gonçalves, Nuno
Pereira, João
Schardong, Guilherme
Novello, Tiago
Computer Vision and Pattern Recognition
I.4.0
Morphing is a long-standing problem in vision and computer graphics, requiring a time-dependent warping for feature alignment and a blending for smooth interpolation. Recently, multilayer perceptrons (MLPs) have been explored as implicit neural representations (INRs) for modeling such deformations, due to their meshlessness and differentiability; however, extracting coherent and accurate morphings from standard MLPs typically relies on costly regularizations, which often lead to unstable training and prevent effective feature alignment. To overcome these limitations, we propose FLOWING (FLOW morphING), a framework that recasts warping as the construction of a differential vector flow, naturally ensuring continuity, invertibility, and temporal coherence by encoding structural flow properties directly into the network architectures. This flow-centric approach yields principled and stable transformations, enabling accurate and structure-preserving morphing of both 2D images and 3D shapes. Extensive experiments across a range of applications - including face and image morphing, as well as Gaussian Splatting morphing - show that FLOWING achieves state-of-the-art morphing quality with faster convergence. Code and pretrained models are available at http://schardong.github.io/flowing.
title FLOWING: Implicit Neural Flows for Structure-Preserving Morphing
topic Computer Vision and Pattern Recognition
I.4.0
url https://arxiv.org/abs/2510.09537