Depth map resolution enhancement for 2D/3D imaging system via compressive sensing

J. Han, O. Loffeld, K. Hartmann
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Abstract

This paper introduces a novel approach for post-processing of depth map which enhances the depth map resolution in order to achieve visually pleasing 3D models from a new monocular 2D/3D imaging system consists of a Photonic mixer device (PMD) range camera and a standard color camera. The proposed method adopts the revolutionary inversion theory framework called Compressive Sensing (CS). The depth map of low resolution is considered as the result of applying blurring and down-sampling techniques to that of high-resolution. Based on the underlying assumption that the high-resolution depth map is compressible in frequency domain and recent theoretical work on CS, the high-resolution version can be estimated and furthermore reconstructed via solving non-linear optimization problem. And therefore the improved depth map reconstruction provides a useful help to build an improved 3D model of a scene. The experimental results on the real data are presented. In the meanwhile the proposed scheme opens new possibilities to apply CS to a multitude of potential applications on various multimodal data analysis and processing.
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基于压缩感知的二维/三维成像系统深度图分辨率增强
本文介绍了一种新的深度图后处理方法,该方法可以提高深度图的分辨率,从而使由光子混合装置(PMD)距离相机和标准彩色相机组成的新型单目二维/三维成像系统获得视觉上令人满意的三维模型。该方法采用了革命性的反演理论框架——压缩感知(CS)。低分辨率深度图被认为是在高分辨率深度图上应用模糊和降采样技术的结果。基于高分辨率深度图在频域可压缩的基本假设和CS的最新理论工作,可以通过求解非线性优化问题对高分辨率深度图进行估计并进一步重建。因此,改进的深度图重建为建立改进的场景三维模型提供了有益的帮助。给出了在实际数据上的实验结果。同时,所提出的方案为将CS应用于各种多模态数据分析和处理的众多潜在应用提供了新的可能性。
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