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Curve and Surface Reconstructionby Tamal K. Dey
Cambridge University Press 2006; US$ 36.00After developing the basics of a sampling theory and its connections to various geometric and topological properties, the author describes a suite of algorithms that have been designed for the reconstruction problem, including algorithms for surface reconstruction from dense samples, from samples that are not adequately dense and from noisy samples. more...
Geometric Modeling and Algebraic Geometryby Bert Juttler; Ragni Piene
Springer 2007; US$ 139.00The two fields of Geometric Modeling and Algebraic Geometry, though closely related, are traditionally represented by two almost disjoint scientific communities. Both fields deal with objects defined by algebraic equations, but the objects are studied in different ways. This contributed book presents, in 12 chapters written by leading experts, recent results which rely on the interaction of both fields. Some of these results have been obtained in the frame of the European GAIA II project (IST 2001-35512) entitled ???Intersection algorithms for geometry-based IT applications using approximate algebraic methods???. more...
Families of Curves and the Origins of Partial Differentiationby S.B. Engelsman
Elsevier 1984; US$ 223.00This book provides a detailed description of the main episodes in the emergence of partial differentiation during the period 1690-1740. It argues that the development of this concept - to a considerable degree of perfection - took place almost exclusively in problems concerning families of curves. Thus, the book shows the origins of the ideas and techniques which paved the way for the sudden introduction of partial differential equations in 1750. The main methodological characteristic of the book is its emphasis on a full understanding of the motives, problems and goals of the mathematicians of that time. more...
Algebraic Geometry and Arithmetic Curvesby Qing Liu; Reinie Erne
Oxford University Press, UK 2006; US$ 85.00This new-in-paperback edition provides an introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. Clear explanations of both theory and applications, and almost 600 exercises are included in the text. - ;This new-in-paperback edition provides a general introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main Theorem). This is followed by the more... more...
Mathematics of Shape Descriptionby Pijush K. Ghosh; Koichiro Deguchi
John Wiley & Sons, Inc. 2009; US$ 152.00Image processing problems are often not well defined because real images are contaminated with noise and other uncertain factors. In Mathematics of Shape Description , the authors take a mathematical approach to address these problems using the morphological and set-theoretic approach to image processing and computer graphics by presenting a simple shape model using two basic shape operators called Minkowski addition and decomposition. This book is ideal for professional researchers and engineers in Information Processing, Image Measurement, Shape Description, Shape Representation and Computer Graphics. Post-graduate and advanced undergraduate students in pure and applied mathematics, computer sciences, robotics and engineering will also benefit... more...
Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2by J. W. S. Cassels; E. V. Flynn
Cambridge University Press 1996; US$ 70.00A unique insight into the topic of curves of genus 2, by two of the world's leading practitioners. more...
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