Projecting Gaussian Ellipsoids While Avoiding Affine Projection Approximation

Fuente: arXiv
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Autori principali: Qi, Han, Cai, Tao, Han, Xiyue
Natura: Preprint
Pubblicazione: 2024
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author Qi, Han
Cai, Tao
Han, Xiyue
author_facet Qi, Han
Cai, Tao
Han, Xiyue
contents Recently, 3D Gaussian Splatting has dominated novel-view synthesis with its real-time rendering speed and state-of-the-art rendering quality. However, during the rendering process, the use of the Jacobian of the affine approximation of the projection transformation leads to inevitable errors, resulting in blurriness, artifacts and a lack of scene consistency in the final rendered images. To address this issue, we introduce an ellipsoid-based projection method to calculate the projection of Gaussian ellipsoid onto the image plane, which is the primitive of 3D Gaussian Splatting. As our proposed ellipsoid-based projection method cannot handle Gaussian ellipsoids with camera origins inside them or parts lying below $z=0$ plane in the camera space, we designed a pre-filtering strategy. Experiments over multiple widely adopted benchmark datasets show that our ellipsoid-based projection method can enhance the rendering quality of 3D Gaussian Splatting and its extensions.
format Preprint
id arxiv_https___arxiv_org_abs_2411_07579
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Projecting Gaussian Ellipsoids While Avoiding Affine Projection Approximation
Qi, Han
Cai, Tao
Han, Xiyue
Computer Vision and Pattern Recognition
Graphics
Recently, 3D Gaussian Splatting has dominated novel-view synthesis with its real-time rendering speed and state-of-the-art rendering quality. However, during the rendering process, the use of the Jacobian of the affine approximation of the projection transformation leads to inevitable errors, resulting in blurriness, artifacts and a lack of scene consistency in the final rendered images. To address this issue, we introduce an ellipsoid-based projection method to calculate the projection of Gaussian ellipsoid onto the image plane, which is the primitive of 3D Gaussian Splatting. As our proposed ellipsoid-based projection method cannot handle Gaussian ellipsoids with camera origins inside them or parts lying below $z=0$ plane in the camera space, we designed a pre-filtering strategy. Experiments over multiple widely adopted benchmark datasets show that our ellipsoid-based projection method can enhance the rendering quality of 3D Gaussian Splatting and its extensions.
title Projecting Gaussian Ellipsoids While Avoiding Affine Projection Approximation
topic Computer Vision and Pattern Recognition
Graphics
url https://arxiv.org/abs/2411.07579