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  • Discrete Calculus

    Applied Analysis on Graphs for Computational Science

    The field of discrete calculus, also known as "discrete exterior calculus", focuses on finding a proper set of definitions and differential operators that make it possible to operate the machinery of multivariate calculus on a finite, discrete space. In contrast to traditional goals of finding an accurate discretization of conventional multivariate calculus, discrete calculus establishes a ... Read more

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  • Image Processing and Analysis with Graphs

    Theory and Practice

    Edited by Olivier Lezoray, Leo Grady ...
    Series series Digital Imaging and Computer Vision
    Covering the theoretical aspects of image processing and analysis through the use of graphs in the representation and analysis of objects, Image Processing and Analysis with Graphs: Theory and Practice also demonstrates how these concepts are indispensible for the design of cutting-edge solutions for real-world applications.Explores new applications in computational photography, image and video ... Read more

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    This book guides undergraduate students in the use of Maxima—a computer algebra system—in solving problems in classical mechanics. It functions well as a supplement to a typical classical mechanics textbook.When it comes to problems that are too difficult to solve by hand, computer algebra systems that can perform symbolic mathematical manipulations are a valuable tool. Maxima is particularly ... Read more

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  • Algorithms for Sparsity-Constrained Optimization

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    This thesis demonstrates techniques that provide faster and more accurate solutions to a variety of problems in machine learning and signal processing. The author proposes a "greedy" algorithm, deriving sparse solutions with guarantees of optimality. The use of this algorithm removes many of the inaccuracies that occurred with the use of previous models. ... Read more

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  • Level Set and PDE Based Reconstruction Methods in Imaging

    Cetraro, Italy 2008, Editors: Martin Burger, Stanley Osher

    Series series Mathematics and Statistics (R0)
    This book takes readers on a tour through modern methods in image analysis and reconstruction based on level set and PDE techniques, the major focus being on morphological and geometric structures in images. The aspects covered include edge-sharpening image reconstruction and denoising, segmentation and shape analysis in images, and image matching. For each, the lecture notes provide insights into ... Read more

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  • Infrastructure Monitoring with Spaceborne SAR Sensors

    Series series Engineering (R0)
    This book presents a novel non-intrusive infrastructure monitoring technique based on the detection and tracking of scattering centers in spaceborne SAR images. The methodology essentially consists of refocusing each available SAR image on an imposed 3D point cloud associated to the envisaged infrastructure element and identifying the reliable scatterers to be monitored by means of four ... Read more

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  • Multiresolution Approach to Processing Images for Different Applications

    Interaction of Lower Processing with Higher Vision

    by Igor Vujović ...
    Series series Engineering (R0)
    This book presents theoretical and practical aspects of the interaction between low and high level image processing. Multiresolution analysis owes its popularity mostly to wavelets and is widely used in a variety of applications. Low level image processing is important for the performance of many high level applications. The book includes examples from different research fields, i.e. video ... Read more

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    This book presents cutting-edge research on various ways to bridge the semantic gap in image and video analysis. The respective chapters address different stages of image processing, revealing that the first step is a future extraction, the second is a segmentation process, the third is object recognition, and the fourth and last involve the semantic interpretation of the image.The semantic gap is ... Read more

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    Series series Earth and Environmental Science (R0)
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  • Perceptual Image Coding with Discrete Cosine Transform

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