arXiv:2604.24167cs.CVcs.GR2026-04被引 2

提出新型位置编码采样法,用更少参数实现更高精度的图像与3D表示。

PEPS: Positional Encoding Projected Sampling -- Extended

  • 将位置编码分解为随频率变化的特征点,以点运动规律作为编码基础。
  • 在图像、纹理压缩和距离场任务中均超越当前最优方法,参数减少25%仍保持同等精度。
  • 适合需要高保真低参数模型的视觉生成与几何建模场景。

隐式神经表示(INRs)正被广泛用于将坐标映射到信号,涵盖神经场、纹理压缩、形状建模等应用。现有INR方法多依赖高维投影编码器(如网格或位置编码),但位置编码常显不足,而网格需高分辨率才能有效学习。本文证明位置编码不仅能作为高维嵌入,还可分解为一系列有意义的点。我们提出位置编码投影采样(PEPS),将各频率下的坐标投影视为兴趣点,并描述其随频率变化的运动模式,发现每一点具有独特运动规律。基于此规律,我们设计了可学习的位置编码网格表示。在图像表示、纹理压缩和符号距离函数三个任务中,该方法性能优于现有最佳方法,且在相同重建误差下平均减少25%参数量。

原文摘要 · Abstract (English)

Implicit neural representations (INRs) are increasingly being used as tools to map coordinates to signals, encompassing applications from neural fields to texture compression, shape representations, and beyond. Most INR methods are based on using high-dimensional projections of the initial coordinates through encoders such as grid or positional encoding. Nevertheless, positional encoding is often insufficient and grids, as we show in this paper, require high resolution for being able to learn. In this paper, we demonstrate that positional encoding can be used not only as a high-dimensional embedding but also decomposed as a series of meaningful points. We propose the Positional Encoding Projected Sampling, where we treat the projection of the original coordinate at each frequency as a point of interest. We describe the motion of each point with respect to the frequencies and show that it follows a unique pattern. Finally, we use the unique motion of each point as a basis decomposition for doing learned positional encoding using grids. We prove, using three competitive applications; image representation, texture compression, and signed distance function; that the proposed approach outperforms the current state of the art methods, and often requires 25\% less parameters for equivalent reconstruction error or rendering.

隐式表示位置编码神经场参数压缩

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