Kokkinos Iasonas, Maragos Petros
Department of Applied Mathematics, University of California, Los Angeles, CA, USA.
IEEE Trans Pattern Anal Mach Intell. 2009 Aug;31(8):1486-501. doi: 10.1109/TPAMI.2008.158.
In this work, we formulate the interaction between image segmentation and object recognition in the framework of the Expectation-Maximization (EM) algorithm. We consider segmentation as the assignment of image observations to object hypotheses and phrase it as the E-step, while the M-step amounts to fitting the object models to the observations. These two tasks are performed iteratively, thereby simultaneously segmenting an image and reconstructing it in terms of objects. We model objects using Active Appearance Models (AAMs) as they capture both shape and appearance variation. During the E-step, the fidelity of the AAM predictions to the image is used to decide about assigning observations to the object. For this, we propose two top-down segmentation algorithms. The first starts with an oversegmentation of the image and then softly assigns image segments to objects, as in the common setting of EM. The second uses curve evolution to minimize a criterion derived from the variational interpretation of EM and introduces AAMs as shape priors. For the M-step, we derive AAM fitting equations that accommodate segmentation information, thereby allowing for the automated treatment of occlusions. Apart from top-down segmentation results, we provide systematic experiments on object detection that validate the merits of our joint segmentation and recognition approach.
在这项工作中,我们在期望最大化(EM)算法框架下阐述了图像分割与目标识别之间的相互作用。我们将分割视为将图像观测值分配给目标假设,并将其表述为E步,而M步则是使目标模型与观测值相拟合。这两个任务迭代执行,从而在分割图像的同时根据目标对其进行重构。我们使用主动外观模型(AAM)对目标进行建模,因为它们能够捕捉形状和外观变化。在E步中,AAM对图像预测的保真度用于决定将观测值分配给哪个目标。为此,我们提出了两种自上而下的分割算法。第一种算法从对图像进行过分割开始,然后像在EM的常见设置中那样将图像片段软分配给目标。第二种算法使用曲线演化来最小化从EM的变分解释导出的一个准则,并引入AAM作为形状先验。对于M步,我们推导了适应分割信息的AAM拟合方程,从而能够自动处理遮挡问题。除了自上而下的分割结果外,我们还提供了关于目标检测的系统实验,验证了我们的联合分割与识别方法的优点。