Gaussian Splatting Lucas-Kanade

Fuente: arXiv
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Autores principales: Xie, Liuyue, Julin, Joel, Niinuma, Koichiro, Jeni, Laszlo A.
Formato: Preprint
Publicado: 2024
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author Xie, Liuyue
Julin, Joel
Niinuma, Koichiro
Jeni, Laszlo A.
author_facet Xie, Liuyue
Julin, Joel
Niinuma, Koichiro
Jeni, Laszlo A.
contents Gaussian Splatting and its dynamic extensions are effective for reconstructing 3D scenes from 2D images when there is significant camera movement to facilitate motion parallax and when scene objects remain relatively static. However, in many real-world scenarios, these conditions are not met. As a consequence, data-driven semantic and geometric priors have been favored as regularizers, despite their bias toward training data and their neglect of broader movement dynamics. Departing from this practice, we propose a novel analytical approach that adapts the classical Lucas-Kanade method to dynamic Gaussian splatting. By leveraging the intrinsic properties of the forward warp field network, we derive an analytical velocity field that, through time integration, facilitates accurate scene flow computation. This enables the precise enforcement of motion constraints on warp fields, thus constraining both 2D motion and 3D positions of the Gaussians. Our method excels in reconstructing highly dynamic scenes with minimal camera movement, as demonstrated through experiments on both synthetic and real-world scenes.
format Preprint
id arxiv_https___arxiv_org_abs_2407_11309
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Gaussian Splatting Lucas-Kanade
Xie, Liuyue
Julin, Joel
Niinuma, Koichiro
Jeni, Laszlo A.
Computer Vision and Pattern Recognition
Graphics
Gaussian Splatting and its dynamic extensions are effective for reconstructing 3D scenes from 2D images when there is significant camera movement to facilitate motion parallax and when scene objects remain relatively static. However, in many real-world scenarios, these conditions are not met. As a consequence, data-driven semantic and geometric priors have been favored as regularizers, despite their bias toward training data and their neglect of broader movement dynamics. Departing from this practice, we propose a novel analytical approach that adapts the classical Lucas-Kanade method to dynamic Gaussian splatting. By leveraging the intrinsic properties of the forward warp field network, we derive an analytical velocity field that, through time integration, facilitates accurate scene flow computation. This enables the precise enforcement of motion constraints on warp fields, thus constraining both 2D motion and 3D positions of the Gaussians. Our method excels in reconstructing highly dynamic scenes with minimal camera movement, as demonstrated through experiments on both synthetic and real-world scenes.
title Gaussian Splatting Lucas-Kanade
topic Computer Vision and Pattern Recognition
Graphics
url https://arxiv.org/abs/2407.11309