arXiv:2608.02432cs.CV2026-08中稿 · ECCV

用谱分割重构点云生成,保持拓扑结构更清晰。

Learning to Tessellate: Point Cloud Generation via Recursive Spectral Partitioning

论文配图:Learning to Tessellate: Point Cloud Generation via Recursive Spectral Partitioning
图 1 · 摘自论文原文
  • 通过递归谱分割构建层次化几何蓝图,避免人为分块破坏结构。
  • 在ShapeNet等数据集上生成质量与多样性均达当前最佳水平。
  • 适合关注3D形状生成与拓扑保持的研究者和工程师。

自回归模型已成为点云生成的有效范式,但现有方法多依赖空间排序或随机下采样等启发式分块策略,常破坏点云内在拓扑结构,削弱生成形状的结构性。本文提出PointRSP,一种将点云生成重构为拓扑保持的镶嵌过程的自回归框架。我们引入拓扑感知的分块自编码器,通过混合递归谱分割策略,将无结构点云分解为非平衡二叉树。该层次表示提供确定性几何蓝图,在量化潜空间中保留拓扑关系并捕捉多尺度结构依赖。为在该空间合成形状,我们设计双流级联生成器,联合建模结构演化与特征生成。此外,提出几何校准的位置编码机制,利用多尺度结构中心锚定潜变量嵌入,稳定早期生成阶段的结构形成。大量实验表明,PointRSP在生成质量与多样性方面达到当前最优,展现出对复杂三维拓扑的强大泛化能力。

原文摘要 · Abstract (English)

Autoregressive models have emerged as an effective paradigm for point cloud generation. However, most existing approaches rely on heuristic tokenization strategies, such as spatial sorting or stochastic downsampling, which often disrupt intrinsic point cloud topology and weaken the structural coherence of the generated shapes. In this paper, we present PointRSP, an autoregressive framework that reformulates point cloud generation as a topology-preserving tessellation process via recursive spectral partitioning. Instead of constructing token sequences heuristically, we introduce a topology-aware partitioning autoencoder that decomposes an unstructured point cloud into a non-balanced binary tree through a hybrid recursive spectral partitioning strategy. This hierarchical representation provides a deterministic geometric blueprint that preserves topological relationships while capturing multiscale structural dependencies within a quantized latent space. To synthesize shapes in this space, we propose a dual-stream cascaded generator that jointly models structural evolution and feature synthesis. In addition, we design a geometry-calibrated positional encoding mechanism that anchors latent embeddings using multi-scale structural centers, which stabilizes cascaded generation during the early stages of structural formation. Extensive experiments show that PointRSP achieves state-of-the-art performance in generation quality and diversity, demonstrating strong generalization across complex 3D topologies.

点云生成拓扑保持自回归谱分割

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