A sensibility study of the autobinomial model estimation methods based on a feature similarity index

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• 作者：Silvina Pistonesi ; Jorge Martinez ; Silvia M. Ojeda
• 关键词：Gibbs–Markov autobinomial model ; Coding method ; Maximum pseudo ; likelihood method ; Conditional least square method ; Feature similarity index ; Additive Gaussian white noise
• 刊名：Computational Statistics
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：31
• 期：4
• 页码：1327-1357
• 全文大小：3,899 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Statistics
  Statistics
  Probability and Statistics in Computer Science
  Probability Theory and Stochastic Processes
  Economic Theory
  
• 出版者：Physica Verlag, An Imprint of Springer-Verlag GmbH
• ISSN：1613-9658
• 卷排序：31

文摘

The estimation of parameters in the Autobinomial model is an important task for characterizing the content of an image and generating synthetic textures. This paper compares the performance of three estimation methods of the model: coding, maximum pseudo-likelihood and conditional least squares, under textures with different levels of additive contamination, using a feature similarity image index, via Monte Carlo studies. This novel framework quantifies the similarity between the original texture and its texture regenerated by each method. Differences in performance were tested with a Repeated Measures ANOVA model design. Simulation results show that the Conditional Least Squares method is associated with the highest value of the similarity image measure in contaminated textures, while Coding and Maximum Pseudo-Likelihood methods have a comparable behavior and there is no clear pattern whether to prefer one over the other. An application for landscape classification using real Landsat images with different spatial resolutions is described.