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收稿：2018-08-09，
修回：2018-9-10，
纸质出版：2019-03-16
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目的
2
图像协同分割技术是通过多幅参考图像以实现前景目标与背景区域的分离，并已被广泛应用于图像分类和目标识别等领域中。不过，现有多数的图像协同分割算法只适用于背景变化较大且前景几乎不变的环境。为此，提出一种新的无监督协同分割算法。
方法
2
本文方法是无监督式的，在分级图像分割的基础上通过渐进式优化框架分别实现前景和背景模型的更新估计，同时结合图像内部和不同图像之间的分级区域相似度关联进一步增强上述模型估计的鲁棒性。该无监督的方法不需要进行预先样本学习，能够同时处理两幅或多幅图像且适用于同时存在多个前景目标的情况，并且能够较好地适应前景物体类的变化。
结果
2
通过基于iCoseg和MSRC图像集的实验证明，该算法无需图像间具有显著的前景和背景差异这一约束，与现有的经典方法相比更适用于前景变化剧烈以及同时存在多个前景目标等更为一般化的图像场景中。
结论
2
该方法通过对分级图像分割得到的超像素外观分布分别进行递归式估计来实现前景和背景的有效区分，并同时融合了图像内部以及不同图像区域之间的区域关联性来增加图像前景和背景分布估计的一致性。实验表明当前景变化显著时本文方法相比于现有方法具有更为鲁棒的表现。
Objective
2
As a hotspot in computer vision
image co-segmentation is a research branch of the classic image segmentation problem that uses multiple images to separate foreground objects from background regions in an image. It has been widely used in many fields
such as image classification
object recognition
and 3D object reconstruction. Image co-segmentation has become an ill-conditioned and challenging problem due to many factors
such as viewpoint change and intraclass diversity of the foreground objects in the image. Most current image co-segmentation algorithms have limits in performance
which only work efficiently in images with dramatic background and minimal foreground changes.
Method
2
This study proposes a new unsupervised algorithm that optimizes foreground/background estimation progressively. Our proposed algorithm has three advantages:1) it is unsupervised and does not need sample learning
2) it can be used to co-segment multiple images simultaneously or an image with multiple foreground objects
3) it is more adaptable to dramatic intraclass variations than previous algorithms. The main steps of our algorithm are as follows. A classic hierarchical segmentation is first utilized to generate a multiscale superpixel set. Different Gaussian mixture models are then used to estimate the foreground and background distributions on the basis of classic color and texture descriptors at the superpixel level. A Markov random field (MRF) model is used to estimate the annotation of each superpixel by solving a traditional energy minimization problem. In our MRF model
each node represents a superpixel or pixel. The first two unary potentials denote the possibilities of a superpixel or pixel belonging to the foreground or background
and the last pairwise potential penalizes the annotation consistency among superpixels in different images. This energy minimization can be solved by a classic graph cut. Unlike most image co-segmentation algorithms
the foreground and background models are progressively estimated based on the initial superpixel annotation from the pre-learned object detector. These models use the annotation in the current step to update the superpixel annotation in the next step for foreground and background distribution updating until these distributions are no longer optimized significantly. Intra- and inter-image similarity correlations in different superpixel levels are integrated into our iterative-type framework to increase the robustness of foreground and background model estimation. Each image is divided into a series of segmentation levels by hierarchical segmentation
and three matrices are used to model the semantic correlations among different regions. An affinity matrix
$$\mathit{\boldsymbol{A}}$$
is utilized to define the relationship among neighboring superpixels inside one image. A constraint matrix
$$\mathit{\boldsymbol{C}}$$
is defined to describe the hierarchical relation among different segmentation levels. Another affinity matrix
$$\mathit{\boldsymbol{M}}$$
is utilized to define the relationship among superpixels in different images. A normalized affinity matrix is then defined based on
$$\mathit{\boldsymbol{P}}$$
and a new matrix
$$\mathit{\boldsymbol{Q}}$$
created based on
$$\mathit{\boldsymbol{C}}$$
to project
$$\mathit{\boldsymbol{P}}$$
into the solution space. The optimal annotation of superpixel pairs inside one image and in different images can be achieved by classic normalized cuts. Thus
a new pairwise potential is added to our MRF model for penalizing the corresponding superpixel pairs with different annotations in different images.
Result
2
In our experiment
iCoseg and MSRC datasets are utilized to compare the performance of our algorithm with those of several state-of-the-art algorithms. Experimental results demonstrate that our proposed algorithm can achieve the highest segmentation accuracy and mean of segmentation accuracy in most object classes
which imply that our algorithm does not need large foreground and background differences and can be used for generalized images with dramatic foreground changes and different foreground objects. In some object classes
such as "Skating" and "Panda"
however
our algorithm is inefficient because of the inaccurate initial distribution estimation from the out-of-date object detector
and our iterative-type framework still cannot help the distribution estimation to jump out of a local minimum. Nonetheless
our algorithm can be significantly improved by using state-of-the-art deep learning-based object detectors
such as Mask-RCNN.
Conclusion
2
This study proposes a novel unsupervised image co-segmentation algorithm
which iteratively estimates the appearance distribution of each superpixel by hierarchical image segmentation to distinguish the foreground from background. Regional semantic correlations inside one image and in different images are considered a new pairwise potential in the MRF model to increase the consistency of foreground and background distribution. Our detailed experiment shows that our proposed algorithm can achieve a more robust performance than those of state-of-the-art algorithms and can be used to co-segment multiple images with dramatic foreground changes and multiple foreground objects.
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