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 on the image plane, witch 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 using our ellipsoid-based projection method can enhance the rendering quality of 3D Gaussian Splatting and its extensions.

本文解决了3D高斯散点在新视图合成中由于仿射投影变换的雅可比使用而导致的模糊和伪影问题。我们提出了一种基于椭圆体的投影方法，并结合预过滤策略，从而显著提升了渲染质量。实验证明，该方法在多个基准数据集上都能有效改善3D高斯散点及其扩展的渲染效果。

在避免仿射投影近似的情况下投影高斯椭圆体