At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing. Based on the premise that data acquisition and compression can be performed simultaneously, compres...
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ISBN:
(数字)9780817649470
ISBN:
(纸本)9780817649470;9780817649487
At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing. Based on the premise that data acquisition and compression can be performed simultaneously, compressive sensing finds applications in imaging, signal processing, and many other domains. In the areas of applied mathematics, electrical engineering, and theoretical computer science, an explosion of research activity has already followed the theoretical results that highlighted the efficiency of the basic principles. The elegant ideas behind these principles are also of independent interest to pure mathematicians.A Mathematical Introduction to Compressive Sensing gives a detailed account of the core theory upon which the field is build. With only moderate prerequisites, it is an excellent textbook for graduate courses in mathematics, engineering, and computer science. It also serves as a reliable resource for practitioners and researchers in these disciplines who want to acquire a careful understanding of the subject. A Mathematical Introduction to Compressive Sensing uses a mathematical perspective to present the core of the theory underlying compressive sensing.
Over the last20 years, multiscale methods and wavelets have revolutionized the field of applied mathematicsby providing an efficient means ofencoding isotropic phenomena. Directional multiscale systems, particularly s...
ISBN:
(数字)9780817683160
ISBN:
(纸本)9780817683153
Over the last20 years, multiscale methods and wavelets have revolutionized the field of applied mathematicsby providing an efficient means ofencoding isotropic phenomena. Directional multiscale systems, particularly shearlets,are now having the same dramatic impact on the encoding of multidimensional signals. Since its introduction about five years ago, the theory of shearlets has rapidly developed and gained wide recognitionasthe superior way of achievinga truly unified treatment in both a continuous and a digital setting. By now, it has reached maturity as a research field, with rich mathematics, efficient numerical methods, and various important applications.
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