arXiv:2509.05746cs.CV2025-09被引 14

提出首个基于距离自适应的超分辨率框架,提升远距离图像重建质量。

Depth-Aware Super-Resolution via Distance-Adaptive Variational Formulation

  • 将退化模型建模为与距离相关的伪微分算子,实现空间自适应重建。
  • 在KITTI数据集上2倍和4倍缩放下分别达到36.89/0.9516和30.54/0.8721的PSNR/SSIM。
  • 适合处理具有深度变化的复杂真实场景,如户外自动驾驶图像增强。

单图像超分辨率传统上假设退化模型在空间上不变,但真实成像系统存在距离依赖的复杂效应,包括大气散射、景深变化和透视畸变。这一根本局限要求显式引入几何场景理解的空间自适应重建策略。本文提出一个严格的变分框架,将超分辨率视为空间可变的逆问题,将退化算子建模为具有距离相关频谱特性的伪微分算子,支持对不同深度范围的重建极限进行理论分析。神经架构通过级联残差块实现离散梯度流动态,采用深度条件卷积核,确保收敛到理论能量泛函的驻点,并融入学习到的距离自适应正则项,根据局部几何结构动态调整平滑约束。基于大气散射理论导出的频谱约束防止远场区域的带宽越界和噪声放大,而自适应核生成网络学习从深度到重建滤波器的连续映射。在五个基准数据集上的全面评估表明,该方法达到领先性能,在KITTI户外场景中2倍和4倍缩放下的PSNR/SSIM分别为36.89/0.9516和30.54/0.8721,优于现有方法0.44dB和0.36dB。本工作建立了首个理论驱动的距离自适应超分辨率框架,在深度变化场景中实现显著提升,同时在传统基准上保持竞争力。

原文摘要 · Abstract (English)

Single image super-resolution traditionally assumes spatially-invariant degradation models, yet real-world imaging systems exhibit complex distance-dependent effects including atmospheric scattering, depth-of-field variations, and perspective distortions. This fundamental limitation necessitates spatially-adaptive reconstruction strategies that explicitly incorporate geometric scene understanding for optimal performance. We propose a rigorous variational framework that characterizes super-resolution as a spatially-varying inverse problem, formulating the degradation operator as a pseudodifferential operator with distance-dependent spectral characteristics that enable theoretical analysis of reconstruction limits across depth ranges. Our neural architecture implements discrete gradient flow dynamics through cascaded residual blocks with depth-conditional convolution kernels, ensuring convergence to stationary points of the theoretical energy functional while incorporating learned distance-adaptive regularization terms that dynamically adjust smoothness constraints based on local geometric structure. Spectral constraints derived from atmospheric scattering theory prevent bandwidth violations and noise amplification in far-field regions, while adaptive kernel generation networks learn continuous mappings from depth to reconstruction filters. Comprehensive evaluation across five benchmark datasets demonstrates state-of-the-art performance, achieving 36.89/0.9516 and 30.54/0.8721 PSNR/SSIM at 2 and 4 scales on KITTI outdoor scenes, outperforming existing methods by 0.44dB and 0.36dB respectively. This work establishes the first theoretically-grounded distance-adaptive super-resolution framework and demonstrates significant improvements on depth-variant scenarios while maintaining competitive performance across traditional benchmarks.

超分辨率深度感知变分方法图像恢复

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