04281nam a22006135i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137041000800172050001300180050001600193050001500209072001700224072001600241072002300257072002300280082001600303100003000319245012300349260004600472264004600518300004400564336002600608337002600634338003600660347002400696490004400720505104900764520123901813650001703052650002103069650002203090650001903112650002903131650001703160650004103177650004203218650005903260650006403319650001903383650002203402700002703424710003403451773002003485776003603505830004403541856004803585912001403633942000703647999001303654978-0-8176-4543-4DE-He21320141014113434.0cr nn 008mamaa100301s2007 xxu| s |||| 0|eng d a97808176454349978-0-8176-4543-47 a10.1007/978-0-8176-4543-42doi aeng 4aTK5102.9 4aTA1637-1638 4aTK7882.S65 7aTTBM2bicssc 7aUYS2bicssc 7aTEC0080002bisacsh 7aCOM0730002bisacsh04a621.3822231 aHerman, Gabor T.eeditor.10aAdvances in Discrete Tomography and Its Applicationsh[electronic resource] /cedited by Gabor T. Herman, Attila Kuba. 1aBoston, MA :bBirkhäuser Boston,c2007. 1aBoston, MA :bBirkhäuser Boston,c2007. aXX, 392 p. 140 illus.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aApplied and Numerical Harmonic Analysis0 aFoundations of Discrete Tomography -- An Introduction to Discrete Point X-Rays -- Reconstruction of Q-Convex Lattice Sets -- Algebraic Discrete Tomography -- Uniqueness and Additivity for n-Dimensional Binary Matrices with Respect to Their 1-Marginals -- Constructing (0,1)-Matrices with Given Line Sums and Certain Fixed Zeros -- Reconstruction of Binary Matrices under Adjacency Constraints -- Discrete Tomography Reconstruction Algorithms -- Decomposition Algorithms for Reconstructing Discrete Sets with Disjoint Components -- Network Flow Algorithms for Discrete Tomography -- A Convex Programming Algorithm for Noisy Discrete Tomography -- Variational Reconstruction with DC-Programming -- Applications of Discrete Tomography -- Direct Image Reconstruction-Segmentation, as Motivated by Electron Microscopy -- Discrete Tomography for Generating Grain Maps of Polycrystals -- Discrete Tomography Methods for Nondestructive Testing -- Emission Discrete Tomography -- Application of a Discrete Tomography Approach to Computerized Tomography. aAdvances in Discrete Tomography and Its Applications is a unified presentation of new methods, algorithms, and select applications that are the foundations of multidimensional image reconstruction by discrete tomographic methods. The self-contained chapters, written by leading mathematicians, engineers, and computer scientists, present cutting-edge research and results in the field. Three main areas are covered: foundations, algorithms, and practical applications. Following an introduction that reports the recent literature of the field, the book explores various mathematical and computational problems of discrete tomography including new applications. Topics and Features: * introduction to discrete point X-rays * uniqueness and additivity in discrete tomography * network flow algorithms for discrete tomography * convex programming and variational methods * applications to electron microscopy, materials science, nondestructive testing, and diagnostic medicine Professionals, researchers, practitioners, and students in mathematics, computer imaging, biomedical imaging, computer science, and image processing will find the book to be a useful guide and reference to state-of-the-art research, methods, and applications. 0aEngineering. 0aComputer vision. 0aFourier analysis. 0aVisualization. 0aEngineering mathematics.14aEngineering.24aSignal, Image and Speech Processing.24aImage Processing and Computer Vision.24aAppl.Mathematics/Computational Methods of Engineering.24aComputer Imaging, Vision, Pattern Recognition and Graphics.24aVisualization.24aFourier Analysis.1 aKuba, Attila.eeditor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780817636142 0aApplied and Numerical Harmonic Analysis40uhttp://dx.doi.org/10.1007/978-0-8176-4543-4 aZDB-2-ENG cEB c900d900