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  • Ricci Flow for Shape Analysis and Surface Registration

    Theories, Algorithms and Applications

    Series series Mathematics and Statistics (R0)
    Ricci Flow for Shape Analysis and Surface Registration introduces the beautiful and profound Ricci flow theory in a discrete setting. By using basic tools in linear algebra and multivariate calculus, readers can deduce all the major theorems in surface Ricci flow by themselves. The authors adapt the Ricci flow theory to practical computational algorithms, apply Ricci flow for shape analysis and ... Read more

    $80.99 USD

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    Series series Mathematics and Statistics (R0)
    Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. It presents its primary topics from the viewpoints of discrete, convex and elementary algebraic geometry.The first part of the book studies classical problems and techniques that refer to polyhedral structures. The authors include a study on algorithms for ... Read more

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  • Digital Geometry Algorithms

    Theoretical Foundations and Applications to Computational Imaging

    Series series Engineering (R0)
    Digital geometry emerged as an independent discipline in the second half of the last century. It deals with geometric properties of digital objects and is developed with the unambiguous goal to provide rigorous theoretical foundations for devising new advanced approaches and algorithms for various problems of visual computing. Different aspects of digital geometry have been addressed in the ... Read more

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  • Modern Approaches to Discrete Curvature

    Edited by Pascal Romon, Laurent Najman ...
    Series series Mathematics and Statistics (R0)
    This book provides a valuable glimpse into discrete curvature, a rich new field of research which blends discrete mathematics, differential geometry, probability and computer graphics. It includes a vast collection of ideas and tools which will offer something new to all interested readers. Discrete geometry has arisen as much as a theoretical development as in response to unforeseen challenges ... Read more

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  • Future Vision and Trends on Shapes, Geometry and Algebra

    Series series Springer Nature Proceedings excluding Computer Science
    Mathematical algorithms are a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. This book provides a bridge between algebraic geometry and geometric modelling algorithms, formulated within a computer science framework.Apart from the algebraic geometry topics covered, the entire book is based on the unifying concept of using algebraic techniques – properly ... Read more

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  • Trends in Contemporary Mathematics

    Series series Springer Nature Proceedings excluding Computer Science
    The topics faced in this book cover a large spectrum of current trends in mathematics, such as Shimura varieties and the Lang lands program, zonotopal combinatorics, non linear potential theory, variational methods in imaging, Riemann holonomy and algebraic geometry, mathematical problems arising in kinetic theory, Boltzmann systems, Pell's equations in polynomials, deformation theory in non ... Read more

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  • Convexity and Discrete Geometry Including Graph Theory

    Mulhouse, France, September 2014

    Series series Springer Nature Proceedings excluding Computer Science
    This volume presents easy-to-understand yet surprising properties obtained using topological, geometric and graph theoretic tools in the areas covered by the Geometry Conference that took place in Mulhouse, France from September 7–11, 2014 in honour of Tudor Zamfirescu on the occasion of his 70th anniversary. The contributions address subjects in convexity and discrete geometry, in distance ... Read more

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  • Innovations for Shape Analysis

    Models and Algorithms

    Series series Mathematics and Statistics (R0)
    The concept of 'shape' is at the heart of image processing and computer vision, yet researchers still have some way to go to replicate the human brain's ability to extrapolate meaning from the most basic of outlines. This volume reflects the advances of the last decade, which have also opened up tough new challenges in image processing. Today's applications require flexible models as well as ... Read more

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  • Algebraic Modeling of Topological and Computational Structures and Applications

    THALES, Athens, Greece, July 1-3, 2015

    Series series Springer Nature Proceedings excluding Computer Science
    This interdisciplinary book covers a wide range of subjects, from pure mathematics (knots, braids, homotopy theory, number theory) to more applied mathematics (cryptography, algebraic specification of algorithms, dynamical systems) and concrete applications (modeling of polymers and ionic liquids, video, music and medical imaging). The main mathematical focus throughout the book is on algebraic ... Read more

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  • Introduction to Global Optimization Exploiting Space-Filling Curves

    Series series Mathematics and Statistics (R0)
    Introduction to Global Optimization Exploiting Space-Filling Curves provides an overview of classical and new results pertaining to the usage of space-filling curves in global optimization. The authors look at a family of derivative-free numerical algorithms applying space-filling curves to reduce the dimensionality of the global optimization problem; along with a number of unconventional ideas, ... Read more

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  • Encyclopedia of Distances

    Series series Mathematics and Statistics (R0)
    This updated and revised third edition of the leading reference volume on distance metrics includes new items from very active research areas in the use of distances and metrics such as geometry, graph theory, probability theory and analysis. Among the new topics included are, for example, polyhedral metric space, nearness matrix problems, distances between belief assignments, distance-related ... Read more

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  • Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra

    Series Book 194 - Annals of Mathematics Studies
    This is the first book to present a complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions, including all real-analytic hypersurfaces. The range of Lebesgue spaces for which these estimates are valid is described in terms of Newton polyhedra associated to the given surface.Isroil Ikromov and Detlef Müller begin with ... Read more

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