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Mathematics in Image Processing
The theme of the 2010 PCMI Summer School was Mathematics in Image Processing in a broad sense, including mathematical theory, analysis, computation algorithms and applications. In image processing, information needs to be processed, extracted and analyzed from visual content, such as photographs or videos. These demands include standard tasks such as compression and denoising, as well as high-level understanding and analysis, such as recognition and classification. Centered on the theme of mathematics in image processing, the summer school covered quite a wide spectrum of topics in this field. The summer school is particularly timely and exciting due to the very recent advances and developments in the mathematical theory and computational methods for sparse representation. This volume collects three self-contained lecture series. The topics are multi-resolution based wavelet frames and applications to image processing, sparse and redundant representation modeling of images and simulation of elasticity, biomechanics, and virtual surgery. Recent advances in image processing, compressed sensing and sparse representation are discussed.
Functional Differential Equations
Together with the authors' Volume I. C*-Theory, the two parts comprising Functional Differential Equations: II. C*-Applications form a masterful work-the first thorough, up-to-date exposition of this field of modern analysis lying between differential equations and C*-algebras. The two parts of Volume II contain the applications of the C*-structures and theory developed in Volume I. They show the technique of using the C*-results in the study of the solvability conditions of non-local functional differential equations and demonstrate the fundamental principles underlying the interrelations between C* and functional differential objects. The authors focus on non-local pseudodifferential, sing...
Robust Cluster Analysis and Variable Selection
Clustering remains a vibrant area of research in statistics. Although there are many books on this topic, there are relatively few that are well founded in the theoretical aspects. In Robust Cluster Analysis and Variable Selection, Gunter Ritter presents an overview of the theory and applications of probabilistic clustering and variable selection, synthesizing the key research results of the last 50 years. The author focuses on the robust clustering methods he found to be the most useful on simulated data and real-time applications. The book provides clear guidance for the varying needs of both applications, describing scenarios in which accuracy and speed are the primary goals. Robust Clust...
Applied Building Physics
Bad experiences with construction quality, the energy crises of 1973 and 1979,complaints about `sick buildings?, thermal, acoustical, visual and olfactory discomfort, the need for good air quality, the move towards more sustainability ? all these have accelerated the development of a field that, for a long time, was hardly more than an academic exercise: building physics. The discipline embraces domains such as heat and mass transfer, building acoustics, lighting, indoor environmental quality and energy efficiency. In some countries, fire safety is also included. Through the application of physical knowledge and its combination with information coming from other disciplines, the field helps to understand the physical phenomena governing building parts, building envelope, whole building and built environment performance, although for the last the wording `urban physics? is used. Building physics has a real impact on performance-based building design. This volume on `Applied Building Physics? discusses the heat, air and moisture performance metrics that affect building design, construction and retrofitting.
Recent Advances in Harmonic Analysis and Partial Differential Equations
This volume is based on the AMS Special Session on Harmonic Analysis and Partial Differential Equations and the AMS Special Session on Nonlinear Analysis of Partial Differential Equations, both held March 12-13, 2011, at Georgia Southern University, Statesboro, Georgia, as well as the JAMI Conference on Analysis of PDEs, held March 21-25, 2011, at Johns Hopkins University, Baltimore, Maryland. These conferences all concentrated on problems of current interest in harmonic analysis and PDE, with emphasis on the interaction between them. This volume consists of invited expositions as well as research papers that address prospects of the recent significant development in the field of analysis an...
Sincere
Sincere's early years match my own in so many ways. I was raised on the south side of Chicago, and took to the streets and the drug and gang culture as a pre-teen. Before my high school class made it to graduation, I was already in prison. As a child, I lived as an adult, and the Feds sentenced me accordingly. Now, at the age of 27, with 10 years in, I'm able to see the error of my old ways. I now use my experiences and credibility to help others that are still blinded by the shine to see the true consequences of the grind, so that maybe they can avoid missing out on as much life as I have. In writing Sincere, my goal was to introduce the reader to the real people, real struggles, and real consequences with only a small bit of fantasy entertainment in between. If the blunt rawness of the story troubles you, I have done well in accurately describing a life that so many of us risked death to live.
