论文标题
与未对准结构信息的强大图像重建
Robust Image Reconstruction with Misaligned Structural Information
论文作者
论文摘要
多模式(或多渠道)成像变得越来越重要,并且越来越广泛,例如遥感中的高光谱成像,材料科学中的光谱CT以及多对比度的MRI和PET-MR。在过去的几十年中,研究导致了多种数学方法结合了多种模式的数据。最新的方法通常被称为变分的正则化,已显示出显着改善图像重建。几乎所有这些模型都依赖于以下假设:模式是完美注册的,在大多数现实世界应用中并非如此。我们提出了一个共同执行重建和注册的变异框架,从而克服了这一障碍。我们的方法是第一个以重建和注册的准确性来实现不同方式和占主导地位的方法。模拟和实际数据的数值结果表明,提出的策略在多对比度MRI,PET-MR和高光谱成像中的各种应用的潜力:在重建过程中可以有效校正等方式之间的典型未对准。因此,所提出的框架允许在实际条件下跨多种模式的共享信息强大的利用。
Multi-modality (or multi-channel) imaging is becoming increasingly important and more widely available, e.g. hyperspectral imaging in remote sensing, spectral CT in material sciences as well as multi-contrast MRI and PET-MR in medicine. Research in the last decades resulted in a plethora of mathematical methods to combine data from several modalities. State-of-the-art methods, often formulated as variational regularization, have shown to significantly improve image reconstruction both quantitatively and qualitatively. Almost all of these models rely on the assumption that the modalities are perfectly registered, which is not the case in most real world applications. We propose a variational framework which jointly performs reconstruction and registration, thereby overcoming this hurdle. Our approach is the first to achieve this for different modalities and outranks established approaches in terms of accuracy of both reconstruction and registration. Numerical results on simulated and real data show the potential of the proposed strategy for various applications in multi-contrast MRI, PET-MR, and hyperspectral imaging: typical misalignments between modalities such as rotations, translations, zooms can be effectively corrected during the reconstruction process. Therefore the proposed framework allows the robust exploitation of shared information across multiple modalities under real conditions.