基于可微渲染的 Hermite 径向基函数表面重建
Hermite Radial Basis Function for Surface Reconstruction via Differentiable Rendering
用局部 RBF 及其导数构造全局 Hermite 隐式函数，并通过可微渲染端到端学习场景几何；对做隐式表面重建的人，这提供了一种兼顾精确几何表示与快速渲染（BVH 加速求交）的替代 3DGS/RayGauss 方案。
原文依据 we introduce a global implicit function constructed from local RBFs and their derivatives to represent surfaces
摘要译文
由模型翻译 · 术语统一 · 请对照原文核对关键结论新视角合成领域的最新进展使可微渲染方法能够直接从图像重建三维场景。3D 高斯泼溅与 RayGauss 等算法利用局部基函数表示辐射场，从而实现对真实场景的快速、高质量渲染。然而，这些方法缺乏对场景的精确几何表示。在本工作中，受 Hermite 径向基函数（HRBF）隐式表示的启发，我们引入了一种由局部 RBF 及其导数构造的全局隐式函数来表示表面。所提出的形式化方法使得能够通过对隐式函数的可微渲染来学习场景几何。借助局部基函数，该方法同时实现了高效的几何表示与快速渲染，并使用层次包围盒（BVH）加速与局部基函数的求交。本文方法将在论文发表后公开实现。
英文原文摘要 989 字符
Recent advances in novel view synthesis have enabled differentiable rendering methods to reconstruct 3D scenes directly from images. Algorithms such as 3D Gaussian Splatting and RayGauss use local basis functions to represent radiance fields, enabling fast, high-quality rendering of real-world scenes. However, these methods lack an exact geometric representation of the scene. In this work, inspired by Hermite Radial Basis Function (HRBF) implicits, we introduce a global implicit function constructed from local RBFs and their derivatives to represent surfaces. The proposed formulation enables learning scene geometry through differentiable rendering of an implicit function. By leveraging local basis functions, it achieves both an efficient geometric representation and fast rendering, using a bounding volume hierarchy (BVH) to accelerate intersections with the local basis functions. The implementation of our approach will be made publicly available upon the paper's publication.