用生成模型统一生成球面参数化,让相似形状共享一致映射。
GenSP: Consistent Spherical Parameterization via Learning Shape Generative Models

- 学习神经生成模型,从单位球面连续映射到目标形状。
- 在ShapeNet上几何失真降低,跨形状一致性显著提升。
- 适合需要形状对齐与参数化的研究者使用。
我们提出GenSP,一种数据驱动的框架,用于在一类亏格为0的形状集合上学习一致的球面参数化。不同于独立优化每个形状的参数化,该方法学习一个神经生成模型,预测从单位球面到数据集中形状的连续映射。通过逆映射获得球面参数化,使相似形状共享一致的参数表示。为实现这一目标,我们解决多个关键挑战:首先,采用连续神经变形模型,从球坐标和隐变量代码预测表面点,避免网格表示中的离散化伪影;其次,通过引入连接球面与输入形状的中间形态,扩展训练空间,使模型能学习异质形状间的有效形变;第三,通过在潜在空间中训练形状的生成树传播映射,建立可靠的初始对应关系。在ShapeNet数据集上的实验表明,相比现有最优球面参数化方法,本方法显著降低了几何失真并提升了跨形状一致性。
原文摘要 · Abstract (English)
We introduce GenSP, a data-driven framework that learns consistent spherical parameterizations across a collection of genus-0 shapes. Instead of optimizing the parameterization of each shape independently, our method learns a neural generative model that predicts a continuous mapping from the unit sphere to shapes in a dataset. Under this formulation, spherical parameterizations are obtained through the inverse mappings of the learned generator, which encourages similar shapes to share consistent parameterizations. To make this formulation practical, we address several key challenges in learning such a generative model. First, we introduce a continuous neural deformation model that predicts surface points from sphere coordinates and latent shape codes, avoiding discretization artifacts common in mesh-based formulations. Second, we augment the training space with intermediate shapes that bridge the sphere and input shapes, allowing the model to learn meaningful deformations across a heterogeneous shape collection. Third, we compute reliable initial correspondences by propagating mappings along a spanning tree of training shapes in the latent space. Experiments on the ShapeNet dataset demonstrate that our approach significantly reduces geometric distortion and improves cross-shape consistency compared with state-of-the-art spherical parameterization methods.
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