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.

本研究解决了在3D高斯点云合成中，由于使用仿射近似的雅可比造成的渲染模糊和伪影等问题。提出了一种基于椭球体的投影方法，并设计了预过滤策略以优化高斯椭球体的投影计算。实验结果表明，该方法显著提升了3D高斯点云合成及其扩展的渲染质量。

避免仿射投影近似的高斯椭球体投影