arXiv:2602.04838cs.CV2026-02

提出LitS描述点云局部结构,能自适应处理密度不均和噪声。

LitS: A novel Neighborhood Descriptor for Point Clouds

  • 用单位圆上的分段常数函数建模点邻域方向分布
  • 支持两种版本与两个参数,可适配不同点云类型
  • 对密度变化和噪声鲁棒,适合复杂3D数据处理

随着3D扫描技术的发展,点云已成为表示三维空间数据的基础,广泛应用于多个科学与技术领域。实际数据分析高度依赖邻域描述子来准确刻画点云的局部几何特征。本文提出一种新型邻域描述子LitS,适用于2D和3D点云。LitS是在单位圆上的分段常数函数,使每个点能记录其周围的方向信息。其定义域中的每个元素代表相对于局部参考系的一个方向。构建完成后,任意方向上评估LitS可获得以该方向为中心的锥形区域内邻居数量的信息。因此,LitS能够传递丰富的局部邻域信息,通过分析相邻点间LitS的变化,可实现全局结构理解。此外,LitS提供两种版本(‘regular’与‘cumulative’)及两个可调参数,使其适应多种场景与点云类型。整体上,LitS是一种多功能邻域描述子,能捕捉局部点排列的细微特征,并对变密度与噪声等常见问题具有鲁棒性。

原文摘要 · Abstract (English)

With the advancement of 3D scanning technologies, point clouds have become fundamental for representing 3D spatial data, with applications that span across various scientific and technological fields. Practical analysis of this data depends crucially on available neighborhood descriptors to accurately characterize the local geometries of the point cloud. This paper introduces LitS, a novel neighborhood descriptor for 2D and 3D point clouds. LitS are piecewise constant functions on the unit circle that allow points to keep track of their surroundings. Each element in LitS' domain represents a direction with respect to a local reference system. Once constructed, evaluating LitS at any given direction gives us information about the number of neighbors in a cone-like region centered around that same direction. Thus, LitS conveys a lot of information about the local neighborhood of a point, which can be leveraged to gain global structural understanding by analyzing how LitS changes between close points. In addition, LitS comes in two versions ('regular' and 'cumulative') and has two parameters, allowing them to adapt to various contexts and types of point clouds. Overall, they are a versatile neighborhood descriptor, capable of capturing the nuances of local point arrangements and resilient to common point cloud data issues such as variable density and noise.

点云处理邻域描述子几何分析

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