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3D image segmentation of deformable objects with joint shape-intensity prior models using level sets

机译:使用水平集的具有关节形状强度先验模型的可变形物体的3D图像分割

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摘要

We propose a novel method for 3D image segmentation, where a Bayesian formulation, based on joint prior knowledge of the object shape and the image gray levels, along with information derived from the input image, is employed. Our method is motivated by the observation that the shape of an object and the gray level variation in an image have consistent relations that provide configurations and context that aid in segmentation. We define a maximum a posteriori (MAP) estimation model using the joint prior information of the object shape and the image gray levels to realize image segmentation. We introduce a representation for the joint density function of the object and the image gray level values, and define a joint probability distribution over the variations of the object shape and the gray levels contained in a set of training images. By estimating the MAP shape of the object, we formulate the shape-intensity model in terms of level set functions as opposed to landmark points of the object shape. In addition, we evaluate the performance of the level set representation of the object shape by comparing it with the point distribution model (PDM). We found the algorithm to be robust to noise and able to handle multidimensional data, while able to avoid the need for explicit point correspondences during the training phase. Results and validation from various experiments on 2D and 3D medical images are shown.
机译:我们提出了一种用于3D图像分割的新颖方法,其中基于对象形状和图像灰度级的联合先验知识以及从输入图像得出的信息,采用了贝叶斯公式。我们的方法是基于以下观察:对象的形状和图像中的灰度级变化具有一致的关系,这些关系提供有助于分割的配置和上下文。我们使用对象形状和图像灰度级的联合先验信息定义最大后验(MAP)估计模型,以实现图像分割。我们介绍了对象的联合密度函数和图像灰度值的表示形式,并定义了一组训练图像中包含的对象形状和灰度的变化的联合概率分布。通过估计对象的MAP形状,我们根据级别集函数(与对象形状的界标点相对)来制定形状-强度模型。此外,我们通过与点分布模型(PDM)进行比较来评估对象形状的水平集表示的性能。我们发现该算法对噪声具有鲁棒性,并且能够处理多维数据,同时能够避免在训练阶段需要明确的点对应关系。显示了在2D和3D医学图像上进行的各种实验的结果和验证。

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