As-Rigid-As-Possible Deformation of Gaussian Radiance Fields

2026-08-29

AI Summary

本文提出一种交互式方法，通过优化高斯函数来实现高斯辐射场的尽可能刚性变形，解决了3D高斯模型变形时产生伪影的问题。

Abstract

3D Gaussian Splatting (3DGS) models radiance fields as sparsely distributed 3D Gaussians, providing a compelling solution to novel view synthesis at high resolutions and real-time frame rates. However, deforming objects represented by 3D Gaussians remains a challenging task. Existing methods deform a 3DGS object by editing Gaussians geometrically. These approaches ignore the fact that it is the radiance field that rasterizes and renders the final image. The inconsistency between the deformed 3D Gaussians and the desired radiance field inevitably leads to artifacts in the final results. In this paper, we propose an interactive method for as-rigid-as-possible (ARAP) deformation of the Gaussian radiance fields. Specifically, after performing geometric edits on the Gaussians, we further optimize Gaussians to ensure its rasterization yields a similar result as the deformed radiance field. To facilitate this objective, we design radial features to mathematically describe the radial difference before and after the deformation, which are densely sampled across the radiance field. Additionally, we propose an adaptive anisotropic spatial low-pass filter to prevent aliasing issues during sampling and to preserve the field with the varying non-uniform sampling intervals. Users can interactively employ this tool to achieve large-scale ARAP deformations of the radiance field. Since our method maintains the consistency of the Gaussian radiance field before and after deformation, it avoids artifacts that are common in existing 3DGS deformation frameworks. Meanwhile, our method keeps the high quality and efficiency of 3DGS in rendering.

Problem

• Gaussian Radiance Fields
• As-Rigid-As-Possible Deformation
• 3D Gaussian Splatting
• Radiance Field Consistency
• Deformation Artifacts

Innovation

• As-Rigid-As-Possible Deformation
• Gaussian Radiance Fields
• Adaptive Anisotropic Spatial Low-Pass Filter
• Radial Features