arXiv:2608.29106cs.CVcs.CG2026-08

提出新型弹性核函数,提升三角形点阵渲染的优化稳定性与效果。

Elastic Triangle Splatting

论文配图:Elastic Triangle Splatting
图 1 · 摘自论文原文
  • 设计具有双边梯度支持和自适应边界值的弹性核函数
  • 在形状重建和新视角合成任务中均优于现有方法
  • 适合需要高保真几何重建的图形学与三维视觉研究者

尽管神经渲染方法如3D高斯点阵实现了出色的视觉保真度,传统多边形网格仍是成熟图形管线的核心。三角形点阵通过将三角形基元优化为可微分点阵,弥合了两者之间的差距。其核心在于核函数,用于软化三角形边界以传播梯度至顶点位置。现有三角形点阵方法对核函数的选择不一致,且对核函数优化行为的分析仅限于无结构三角形点云的新视角合成任务。本文将三角形点阵视为通用光度优化工具,通过两种互补任务对比核函数特性:网格优化用于形状重建,三角形点云优化用于新视角合成。在此基础上,提出一种弹性核函数,具备跨边界的双边梯度支持和自适应边界值,被证明对鲁棒优化至关重要。在独立比较中,该核函数在形状重建任务及多数新视角合成基准上表现更优,凸显核函数设计对三角形点阵有效性和泛化性的关键作用。

原文摘要 · Abstract (English)

While neural rendering methods such as 3D Gaussian Splatting achieve remarkable visual fidelity, traditional polygonal meshes remain the backbone of established graphics pipelines. Triangle splatting bridges this gap by optimizing triangle primitives as differentiable splats, producing representations that are closer to mesh-based workflows. Central to these methods is the kernel function that softens triangle boundaries to propagate gradients to vertex positions. Existing triangle splatting methods make inconsistent choices of kernel functions, and analysis of these kernels' optimization behavior has been limited to unstructured triangle soups for novel-view synthesis. In this work, we consider triangle splatting as a generic tool for photometric optimization, comparing kernel properties through two complementary tasks: mesh optimization for shape reconstruction and triangle soup optimization for novel-view synthesis. Along with the analysis, we introduce an elastic kernel function that features bilateral gradient support across the boundary and an adaptive boundary value, which are shown to be essential for robust optimization. Under isolated comparison, our elastic kernel outperforms existing kernels on shape reconstruction and in the majority of novel-view synthesis benchmarks, demonstrating the importance of kernel design in the effectiveness and versatility of triangle splatting.

三维重建神经渲染可微分渲染

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