Statistical Image Processing and Multidimensional Modeling [electronic resource] / by Paul Fieguth.

Fieguth, Paul. author., Author,
New York, NY : Springer New York : Imprint: Springer, 2011.
1 online resource (XXII, 454 pages)
1st ed. 2011.
Computer Science (Springer-11645)
Information science and statistics 1613-9011
Information Science and Statistics, 1613-9011
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Mathematical statistics.
Optical data processing.
Signal processing.
Image processing.
Speech processing systems.
Local subjects:
Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. (search)
Probability and Statistics in Computer Science. (search)
Probability Theory and Stochastic Processes. (search)
Image Processing and Computer Vision. (search)
Signal, Image and Speech Processing. (search)
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Images are all around us! The proliferation of low-cost, high-quality imaging devices has led to an explosion in acquired images. When these images are acquired from a microscope, telescope, satellite, or medical imaging device, there is a statistical image processing task: the inference of something-an artery, a road, a DNA marker, an oil spill-from imagery, possibly noisy, blurry, or incomplete. A great many textbooks have been written on image processing. However this book does not so much focus on images, per se, but rather on spatial data sets, with one or more measurements taken over a two or higher dimensional space, and to which standard image-processing algorithms may not apply. There are many important data analysis methods developed in this text for such statistical image problems. Examples abound throughout remote sensing (satellite data mapping, data assimilation, climate-change studies, land use), medical imaging (organ segmentation, anomaly detection), computer vision (image classification, segmentation), and other 2D/3D problems (biological imaging, porous media). The goal, then, of this text is to address methods for solving multidimensional statistical problems. The text strikes a balance between mathematics and theory on the one hand, versus applications and algorithms on the other, by deliberately developing the basic theory (Part I), the mathematical modeling (Part II), and the algorithmic and numerical methods (Part III) of solving a given problem. The particular emphases of the book include inverse problems, multidimensional modeling, random fields, and hierarchical methods. Paul Fieguth is a professor in Systems Design Engineering at the University of Waterloo in Ontario, Canada. He has longstanding research interests in statistical signal and image processing, hierarchical algorithms, data fusion, and the interdisciplinary applications of such methods, particularly to problems in medical imaging, remote sensing, and scientific imaging.
Inverse problems
Static estimation and sampling
Dynamic estimation and sampling
multidimensional modelling
Markov random fields
Hidden markov models
Changes of basis
Linear systems estimation
Kalman filtering and domain decomposition
Sampling and monte carlo methods.
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10.1007/978-1-4419-7294-1 doi
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