Title
Sampling Technique Analysis of Nyström Approximation in Pixel-Wise Affinity Matrix
Abstract
Spectral graph methods are widely employed in image segmentation, and they exhibit excellent performance. However, for high-resolution images, it is impractical to directly calculate the eigenvectors of the affinity matrix owing to the high computational requirements. The Nystrom method provides an efficient way to approximate the large-scale affinity matrix by low-rank approximation. In the machine learning field, previous studies have mainly focused on less data points with high dimensional features. To the best of our knowledge, this is the first study to discuss the performance of sampling methods for Nystrom approximation, in which we focus on the pixel-wise affinity matrix for a single image. In this paper, we propose a mean-shift segmentation-based Nystrom sampling technique for image analysis. The experimental results show that for images with simple compositions and backgrounds, k-means sampling performs better, whereas for images with more complicated compositions and backgrounds, the proposed method can perform better.
Year
DOI
Venue
2012
10.1109/ICME.2012.51
ICME
Keywords
DocType
Citations 
high-resolution image,affinity matrix,large-scale affinity matrix,m approximation,sampling technique analysis,nystrom approximation,nystrom method,nystrom sampling technique,k-means sampling,pixel-wise affinity matrix,image analysis,image segmentation,diffusion map,mean shift,sampling methods,spectral graph theory,eigenvectors,low rank approximation,approximation theory,approximation error,databases
Conference
1
PageRank 
References 
Authors
0.35
8
4
Name
Order
Citations
PageRank
Chieh-Chi Kao1809.70
Jui-Hsin Lai2608.98
Ja-ling Wu31569168.11
Shao-Yi Chien41603154.48