arXiv:2412.13502cs.CV2024-12被引 1

用连续的隐式函数表示3D形状,提升分析稳定性。

Level-Set Parameters: Novel Representation for 3D Shape Analysis

  • 将3D形状建模为符号距离函数的等值面参数,实现连续表示。
  • 通过伪正态分布建模不同形状间的关联,学习数据先验。
  • 用超网络生成受姿态变换条件控制的参数,简化姿态分析。

3D形状分析长期依赖点云和网格等离散表示,易受输入分辨率影响。近期神经场发展引入了来自符号距离函数的等值面参数,作为连续、数值化的3D形状新表示,其中形状表面定义为函数的零等值面。本文将形状分析拓展至此类新型参数表示。由于等值面参数非欧几里得空间数据,我们通过将其建模为伪正态分布,并从各自数据集中学习分布先验。为进一步探索参数在形状变换下的特性,我们提出对部分参数施加旋转与平移条件,并用超网络生成,相比传统数据更简化了姿态相关分析。实验验证了该表示在任意姿态下的形状分类、检索及6D物体位姿估计中的有效性。

原文摘要 · Abstract (English)

3D shape analysis has been largely focused on traditional 3D representations of point clouds and meshes, but the discrete nature of these data makes the analysis susceptible to variations in input resolutions. Recent development of neural fields brings in level-set parameters from signed distance functions as a novel, continuous, and numerical representation of 3D shapes, where the shape surfaces are defined as zero-level-sets of those functions. This motivates us to extend shape analysis from the traditional 3D data to these novel parameter data. Since the level-set parameters are not Euclidean like point clouds, we establish correlations across different shapes by formulating them as a pseudo-normal distribution, and learn the distribution prior from the respective dataset. To further explore the level-set parameters with shape transformations, we propose to condition a subset of these parameters on rotations and translations, and generate them with a hypernetwork. This simplifies the pose-related shape analysis compared to using traditional data. We demonstrate the promise of the novel representations through applications in shape classification (arbitrary poses), retrieval, and 6D object pose estimation.

3D分析隐式表示神经场姿态估计

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。