DocumentCode :
1198019
Title :
Visually distinct patterns with matching subband statistics
Author :
Gluckman, Joshua
Author_Institution :
Dept. of Comput. Sci., Polytech. Univ. Brooklyn, NY, USA
Volume :
27
Issue :
2
fYear :
2005
Firstpage :
252
Lastpage :
264
Abstract :
A commonly used representation of a visual pattern is a statistical distribution measured from the output of a bank of filters (Gaussian, Laplacian, Gabor, etc.). Both marginal and joint distributions of filter responses have been advocated and effectively used for a variety of vision tasks, including texture classification, texture synthesis, object detection, and image retrieval. This paper examines the ability of these representations to discriminate between an arbitrary pair of visual stimuli. Examples of patterns are derived that provably possess the same marginal and joint statistical properties, yet are "visually distinct." This is accomplished by showing sufficient conditions for matching the first k moments of the marginal distributions of a pair of images. Then, given a set of filters, we show how to match the marginal statistics of the subband images formed through convolution with the filter set. Next, joint statistics are examined and images with similar joint distributions of subband responses are shown. Finally, distinct periodic patterns are derived that possess approximately the same subband statistics for any arbitrary filter set.
Keywords :
convolution; filtering theory; image matching; image representation; image texture; statistical distributions; Gabor filters; Gaussian filters; Laplacian filters; convolution; filter responses; image retrieval; joint distribution; marginal distributions; marginal statistics; object detection; statistical distribution; subband images matching; sufficient conditions; texture classification; texture synthesis; visual distinct periodic patterns; Filter bank; Gabor filters; Image retrieval; Laplace equations; Matched filters; Object detection; Pattern matching; Statistical distributions; Statistics; Sufficient conditions; Index Terms- Texture; feature representation; moments.; statistical models; Algorithms; Artificial Intelligence; Computer Simulation; Image Enhancement; Image Interpretation, Computer-Assisted; Imaging, Three-Dimensional; Information Storage and Retrieval; Models, Statistical; Pattern Recognition, Automated; Reproducibility of Results; Sensitivity and Specificity; Signal Processing, Computer-Assisted; Subtraction Technique; Surface Properties;
fLanguage :
English
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publisher :
ieee
ISSN :
0162-8828
Type :
jour
DOI :
10.1109/TPAMI.2005.42
Filename :
1374871
Link To Document :
بازگشت