Murphy James M, Le Moigne Jacqueline, Harding David J
University of Maryland: Norbert Wiener Center For Harmonic Analysis and Applications, College Park, MD.
NASA Goddard Space Flight Center, Greenbelt, MD.
IEEE Trans Geosci Remote Sens. 2016 Mar;54(3):1685-1704. doi: 10.1109/TGRS.2015.2487457. Epub 2015 Nov 12.
Automatic image registration is the process of aligning two or more images of approximately the same scene with minimal human assistance. Wavelet-based automatic registration methods are standard, but sometimes are not robust to the choice of initial conditions. That is, if the images to be registered are too far apart relative to the initial guess of the algorithm, the registration algorithm does not converge or has poor accuracy, and is thus not robust. These problems occur because wavelet techniques primarily identify isotropic textural features and are less effective at identifying linear and curvilinear edge features. We integrate the recently developed mathematical construction of shearlets, which is more effective at identifying sparse anisotropic edges, with an existing automatic wavelet-based registration algorithm. Our shearlet features algorithm produces more distinct features than wavelet features algorithms; the separation of edges from textures is even stronger than with wavelets. Our algorithm computes shearlet and wavelet features for the images to be registered, then performs least squares minimization on these features to compute a registration transformation. Our algorithm is two-staged and multiresolution in nature. First, a cascade of shearlet features is used to provide a robust, though approximate, registration. This is then refined by registering with a cascade of wavelet features. Experiments across a variety of image classes show an improved robustness to initial conditions, when compared to wavelet features alone.
自动图像配准是在最少人工辅助的情况下将大约相同场景的两幅或多幅图像对齐的过程。基于小波的自动配准方法是标准方法,但有时对初始条件的选择不够稳健。也就是说,如果要配准的图像相对于算法的初始猜测相距太远,配准算法就不会收敛或精度很差,因此不够稳健。出现这些问题的原因是小波技术主要识别各向同性纹理特征,而在识别线性和曲线边缘特征方面效果较差。我们将最近开发的、在识别稀疏各向异性边缘方面更有效的剪切波数学结构与现有的基于小波的自动配准算法相结合。我们的剪切波特征算法比小波特征算法产生的特征更明显;边缘与纹理的分离甚至比小波更强。我们的算法为要配准的图像计算剪切波和小波特征,然后对这些特征进行最小二乘最小化以计算配准变换。我们的算法本质上是两阶段和多分辨率的。首先,使用一系列剪切波特征来提供一个稳健的、尽管是近似的配准。然后通过与一系列小波特征配准来对其进行细化。与仅使用小波特征相比,针对各种图像类别的实验表明,该算法对初始条件的稳健性有所提高。