Case studyRemote sensing clustering analysis based on object-based interval modeling
Introduction
Clustering analysis is a useful tool in remote sensing applications. However, there exists uncertainty in classifications of remotely sensed imagery. For example, there may be a series of uncertainties in the spectral signatures between classes and spectral variation within classes, because of the inherent uncertainty of remote sensing and the many sources of interference (Cheng et al., 2004). These uncertainties indicate that conventional, crisp clustering algorithms do not achieve a correct classification in most cases. Since the 1980s, fuzzy clustering has been extensively studied and successfully applied to remote sensing classification (Ibrahim et al., 2005, Schowengerdt, 2006, Ghosh et al., 2011). The most commonly utilized fuzzy clustering algorithm is the fuzzy c-means (FCM) algorithm. Many researchers have applied FCM to remotely sensed image analyses (Hasi et al., 2004, Xu et al., 2005, Qin and Xu, 2008, Yu et al., 2008, Joel et al., 2011, Bai and Zhao, 2013), and have achieved more satisfactory results than hard classification methods such as k-means and maximum likelihood classification. Standard FCM is based on image pixels, but high-resolution remote sensing images have smaller targets and more information, which leads to greater uncertainties than lower resolution images from the standpoint of land cover classification. Because more details in the high-resolution (more than 10 m) images often make it more difficult to describe a ground object. Therefore, as a pixel-based method, FCM cannot obtain the desired land cover classification results for high-resolution remote sensing images. Consequently, we expect a clustering algorithm that is more resistant to noise and can take advantage of more detailed information. Object-based classification methods for medium to high-resolution remote sensing images can provide a valid alternative to pixel-based methods (Geneletti and Gorte, 2003, Guo et al., 2007, Yang and Zhou, 2011). Yu et al. (2012) recently proposed an unsupervised classification method that adopts the object-based concept to automatically and effectively classify high-resolution remote sensing images. However, it is difficult to extract effective and stable features from the segmentation units, which directly affects the accuracy and stability of the classification results. For instance, the mean spectral signature is typically used to describe a segmentation unit, but this may not appropriately partition two different objects with the same mean value. Intervals are not only utilized to describe the uncertainties in the observed samples, but also utilized to represent a feature's uncertainty in the segmentation units. Partition clustering is a useful tool for interval-valued data analysis, and has been studied in depth in the literature. Adaptive and non-adaptive FCM clustering algorithms for intervals based on different dissimilarity metrics have been proposed (Gao et al., 1999, de Carvalho, 2007, Xie and Wang, 2012), but are not generally put into use. Moreover, de Carvalho (2007) verified that a clustering algorithm with adaptive distances based on a weighted version of the distances (such as the Hausdorff or city-block distances (de Carvalho, 2006)) outperformed the non-adaptive FCM algorithm. To obtain better results for high-resolution, remotely sensed image clustering analysis, we propose an object-based interval modeling method and an adaptive fuzzy clustering algorithm. We have also improved the distance metric for the intervals using the multiband character of remote sensing data. The structure of this paper is as follows. We introduce the interval-valued data model and dissimilarity metric for comparing the interval-valued data in Section 2, and discuss the proposed method in Section 3. Section 4 demonstrates the improved results by our new algorithms, and Section 5 presents our conclusions.
Section snippets
Definition of closed interval-valued data
The term “closed interval-valued data” means that the sample data are within a certain range. A more formal definition is (Moore, 1966):Where are real numbers representing the lower and upper bounds of the interval-valued data denoted by .Thus, is the width and is the mid value of the subinterval, which are both important features of interval-valued data. Many connections between interval algebra and fuzzy theory have been
Methodology
We present an adaptive fuzzy clustering analysis scheme based on object-based interval modeling, to improve the unsupervised classification accuracy for high-resolution remote sensing images. The process flow is shown in Fig. 2. The method includes the following steps.
- (1)
Segmentation and object interval modeling. The remotely sensed image is segmented to obtain a series of units with a spatial neighborhood and high homogeneity. The resulting data are utilized for interval-valued modeling.
- (2)
Fuzzy
Experimental data
To illustrate the added values of the object-based AIV-FCM algorithm, we conducted land cover classification experiments for high-resolution remote sensing images. We selected three study areas. Two were typical areas with complex land cover in the Pearl River Delta area, an agriculture-focused region of Zhuhai, China, and an intensive cultivation region in the Shenwan district, Zhongshan, China. The third study area was located in Changping district, Beijing, China. We utilized SPOT5 satellite
Conclusion
The uncertainty of information and mixed pixels in remotely sensed image data restricts the effective discrimination of different ground objects. To address this problem, the FCM algorithm based on fuzzy set theory provides a powerful tool for soft classification. However, the added detail increases the difficulty and computational complexity when analyzing high-resolution images. The main contribution of this study is a new solution for the clustering analysis of high-resolution images. The
Acknowledgments
This work was sponsored by the National Natural Science Foundation of China [Grant nos. 11471045, 41272359, 61272364], the Specialized Research Fund for the Doctoral Program of Higher Education in China [Grant no. 20120003110032], the PhD Start-up Fund of Natural Science Foundation of Guangdong Province, China [Grant no. 2014A030310415] and the Fund of Guangdong province Education Bureau, China [Grant nos. 2013LYM_0102, 2014KQNCX240]. The authors would like to thank the reviewers for their
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