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Life sciences · Preprint
arXiv · September 10, 2026
Posted before peer review. The findings may change or fail to hold.
This is a preprint describing a computational method (Complex-Valued Quadratic Phase Gaussian Splatting) for holographic image reconstruction. It reports improvements in image quality metrics over existing methods but has not undergone peer review and has no clinical or medical application.
Preprint. Intervention: Complex-Valued Quadratic Phase Gaussian (CVQPG) hologram representation with learnable curvature parameters. Compared with: State-of-the-art hologram representation methods.
CVQPG exceeds visual quality by +0.19 dB (RGB) and +0.33 dB (grayscale) on average in holographic reconstructions Frequency domain analysis shows CVQPG preserved mid-to-high frequency band of natural images
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This is an unrefereed technical report on an image reconstruction algorithm with no clinical relevance, human subjects, or peer review.
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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.
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