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用于高效高保真表示的循环正弦隐式神经表示

Recurrent Sinusoidal INRs for Efficient High-Fidelity Representation

Hyunmin Cho, Jaejun Yoo, Kyong Hwan Jin

arXiv 2607.21485首次发表:更新:

发表机构

Department of Electrical Engineering, Korea University; Graduate School of Artificial Intelligence, UNIST(韩国大学电气工程系; 蔚山国立科学技术院人工智能研究生院)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

研究将正弦循环用于INRs谐波频谱丰富,通过共享正弦块迭代优化潜在表示,经实验验证其频谱行为,在图像和3D表示任务中表现出色,能以少参数和步骤实现高保真,还可迁移至多种相关任务。

AI 中文摘要

我们研究正弦循环作为隐式神经表示(INRs)中谐波频谱丰富的迭代机制。分析表明正弦激活会产生谐波线谱,解释了循环展开如何丰富有效频谱支持。我们通过共享正弦块实现这一原理,迭代优化潜在表示。通过与前馈INRs、非正弦循环变体和平衡式正弦模型对比验证频谱行为。在图像和3D表示任务中评估该架构,在RGB图像基准测试中,以更少参数和优化步骤实现更高保真度,并能很好地迁移到超分辨率、NeRF和SDF任务。

英文摘要

We study sinusoidal recurrence as an iterative mechanism for harmonic spectral enrichment in implicit neural representations (INRs). Our analysis reveals that sinusoidal activations induce a harmonic line spectrum, providing a spectral account of how recurrent unrolling enriches the effective spectral support. We realize this principle with a shared sinusoidal block that iteratively refines the latent representation. We empirically validate the resulting spectral behavior against feed-forward INRs, non-sinusoidal recurrent variants, and equilibrium-style sinusoidal models. Complementing this analysis, we evaluate the proposed architecture across image and 3D representation tasks. On RGB image benchmarks, our method achieves higher fidelity than feed-forward baselines with fewer parameters and fewer optimization steps, and it further transfers favorably to super-resolution, NeRF, and SDF tasks.

CommentsAccepted to ECCV 2026 (Poster)

论文原文

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