Sorzano Carlos O S, Thévenaz Philippe, Unser Michael
Biomedical Imaging Group, Swiss Federal Institute of Technology Lausanne (EPFL), Switzerland.
IEEE Trans Biomed Eng. 2005 Apr;52(4):652-63. doi: 10.1109/TBME.2005.844030.
We present an elastic registration algorithm for the alignment of biological images. Our method combines and extends some of the best techniques available in the context of medical imaging. We express the deformation field as a B-spline model, which allows us to deal with a rich variety of deformations. We solve the registration problem by minimizing a pixelwise mean-square distance measure between the target image and the warped source. The problem is further constrained by way of a vector-spline regularization which provides some control over two independent quantities that are intrinsic to the deformation: its divergence, and its curl. Our algorithm is also able to handle soft landmark constraints, which is particularly useful when parts of the images contain very little information or when its repartition is uneven. We provide an optimal analytical solution in the case when only landmarks and smoothness considerations are taken into account. We have applied our approach to perform the elastic registration of images such as electrophoretic gels and fly embryos. The validation of the results by experts has been favorable in all cases.
我们提出了一种用于生物图像配准的弹性配准算法。我们的方法结合并扩展了医学成像领域一些最佳可用技术。我们将变形场表示为B样条模型，这使我们能够处理各种丰富的变形。我们通过最小化目标图像与扭曲源之间的逐像素均方距离度量来解决配准问题。该问题通过向量样条正则化进一步受到约束，该正则化对变形固有的两个独立量提供了一些控制：其散度和旋度。我们的算法还能够处理软地标约束，这在图像的某些部分包含的信息很少或其分布不均匀时特别有用。在仅考虑地标和平滑性的情况下，我们提供了一个最优解析解。我们已将我们的方法应用于执行诸如电泳凝胶和果蝇胚胎等图像的弹性配准。专家对结果的验证在所有情况下都是令人满意的。
