Hologram Representation via Quadratic Phase Gaussian Splatting

2026-09-10

AI Summary

本文提出了一种新的全息图表示方法CVQPG，通过使用二次相位函数替代传统的2D高斯表示，并增加可学习参数控制基底曲率，提高了全息重建的视觉质量。

Abstract

We introduce Complex-Valued Quadratic Phase Gaussian (CVQPG), a novel hologram representation method that replaces standard 2D Gaussian representations used in 2D Gaussian Splatting with 2D quadratic phase functions. CVQPG incorporates additional learnable parameters to control the curvature of these bases. We evaluate our approach against state-of-the-art methods, exceeding the visual quality by +0.19 dB (RGB) and +0.33 dB (grayscale) on average in holographic reconstructions. Specifically, our equal parameter count evaluations show that modulating the primitive's wavefront is an effective and lightweight enhancement for hologram representations. In addition, our frequency domain analysis illustrates that CVQPG has successfully preserved the mid-to-high frequency band of natural images.

Problem

• Hologram Representation
• Quadratic Phase Gaussian
• Visual Quality

Innovation

• Complex-Valued Quadratic Phase Gaussian
• hologram representation
• curvature control
• frequency preservation
• visual quality enhancement