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A Gauss-Newton approach to joint image registration and intensity correction

机译:联合图像配准和强度校正的高斯-牛顿方法

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摘要

We develop a new efficient numerical methodology for automated simultaneous registration and intensity correction of images. The approach separates the intensity correction term from the images being registered in a regularized expression. Our formulation is consistent with the existing non-parametric image registration techniques, however, an extra additive intensity correction term is carried throughout. An objective functional is formed for which the corresponding Hessian and Jacobian is computed and employed in a multi-level Gauss-Newton minimization approach. In this paper, our experiments are based on elastic regularization on the transformation and total variation on the intensity correction. Validations on dynamic contrast enhanced MR abdominal images for both real and simulated data verified the efficacy of the model. The pursued approach is flexible in which we can exploit various forms of regularization on the transformation and the intensity correction.
机译:我们开发了一种新的有效数值方法,用于图像的自动同时配准和强度校正。该方法将强度校正项与正则表达式中注册的图像分开。我们的公式与现有的非参数图像配准技术一致,但是,始终使用额外的加性强度校正项。形成目标函数,针对该目标函数计算相应的Hessian和Jacobian,并将其用于多级Gauss-Newton最小化方法。在本文中,我们的实验基于变换的弹性正则化和强度校正的总变化。对动态对比增强的MR腹部图像的真实和模拟数据进行验证,验证了该模型的有效性。所追求的方法是灵活的,其中我们可以利用各种形式的正则化进行变换和强度校正。

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