Algebraic Geometry And Geometric Modeling PDF Download
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| Author | : Mohamed Elkadi |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 252 |
| Release | : 2006-11-02 |
| Genre | : Mathematics |
| ISBN | : 3540332758 |
Download Algebraic Geometry and Geometric Modeling Book in PDF, ePub and Kindle
This book spans the distance between algebraic descriptions of geometric objects and the rendering of digital geometric shapes based on algebraic models. These contrasting points of view inspire a thorough analysis of the key challenges and how they are met. The articles focus on important classes of problems: implicitization, classification, and intersection. Combining illustrative graphics, computations and review articles this book helps the reader gain a firm practical grasp of these subjects.
| Author | : Bert Jüttler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 227 |
| Release | : 2007-12-24 |
| Genre | : Mathematics |
| ISBN | : 3540721851 |
Download Geometric Modeling and Algebraic Geometry Book in PDF, ePub and Kindle
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. In 12 chapters written by leading experts, this book presents recent results which rely on the interaction of both fields. Some of these results have been obtained from a major European project in geometric modeling.
| Author | : Ron Goldman |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 378 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 0821834207 |
Download Topics in Algebraic Geometry and Geometric Modeling Book in PDF, ePub and Kindle
Algebraic geometry and geometric modeling both deal with curves and surfaces generated by polynomial equations. Algebraic geometry investigates the theoretical properties of polynomial curves and surfaces; geometric modeling uses polynomial, piecewise polynomial, and rational curves and surfaces to build computer models of mechanical components and assemblies for industrial design and manufacture. The NSF sponsored the four-day ''Vilnius Workshop on Algebraic Geometry and Geometric Modeling'', which brought together some of the top experts in the two research communities to examine a wide range of topics of interest to both fields. This volume is an outgrowth of that workshop. Included are surveys, tutorials, and research papers. In addition, the editors have included a translation of Minding's 1841 paper, ''On the determination of the degree of an equations obtained by elimination'', which foreshadows the modern application of mixed volumes in algebraic geometry. The volume is suitable for mathematicians, computer scientists, and engineers interested in applications of algebraic geometry to geometric modeling.
| Author | : Mohamed Elkadi |
| Publisher | : Springer |
| Total Pages | : 0 |
| Release | : 2010-11-19 |
| Genre | : Mathematics |
| ISBN | : 9783642069932 |
Download Algebraic Geometry and Geometric Modeling Book in PDF, ePub and Kindle
This book spans the distance between algebraic descriptions of geometric objects and the rendering of digital geometric shapes based on algebraic models. These contrasting points of view inspire a thorough analysis of the key challenges and how they are met. The articles focus on important classes of problems: implicitization, classification, and intersection. Combining illustrative graphics, computations and review articles this book helps the reader gain a firm practical grasp of these subjects.
| Author | : Max K. Agoston |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 972 |
| Release | : 2005-09-05 |
| Genre | : Computers |
| ISBN | : 1846281229 |
Download Computer Graphics and Geometric Modelling Book in PDF, ePub and Kindle
Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modelling, this two volume work covers implementation and theory in a thorough and systematic fashion. Computer Graphics and Geometric Modelling: Mathematics, contains the mathematical background needed for the geometric modeling topics in computer graphics covered in the first volume. This volume begins with material from linear algebra and a discussion of the transformations in affine & projective geometry, followed by topics from advanced calculus & chapters on general topology, combinatorial topology, algebraic topology, differential topology, differential geometry, and finally algebraic geometry. Two important goals throughout were to explain the material thoroughly, and to make it self-contained. This volume by itself would make a good mathematics reference book, in particular for practitioners in the field of geometric modelling. Due to its broad coverage and emphasis on explanation it could be used as a text for introductory mathematics courses on some of the covered topics, such as topology (general, combinatorial, algebraic, and differential) and geometry (differential & algebraic).
| Author | : Max K. Agoston |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 960 |
| Release | : 2005-01-04 |
| Genre | : Computers |
| ISBN | : 9781852338183 |
Download Computer Graphics and Geometric Modelling Book in PDF, ePub and Kindle
Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modeling, this two-volume work covers implementation and theory in a thorough and systematic fashion. It covers the computer graphics part of the field of geometric modeling and includes all the standard computer graphics topics. The CD-ROM features two companion programs.
| Author | : Elisabeth Bouscaren |
| Publisher | : Springer |
| Total Pages | : 223 |
| Release | : 2009-03-14 |
| Genre | : Mathematics |
| ISBN | : 3540685219 |
Download Model Theory and Algebraic Geometry Book in PDF, ePub and Kindle
This introduction to the recent exciting developments in the applications of model theory to algebraic geometry, illustrated by E. Hrushovski's model-theoretic proof of the geometric Mordell-Lang Conjecture starts from very basic background and works up to the detailed exposition of Hrushovski's proof, explaining the necessary tools and results from stability theory on the way. The first chapter is an informal introduction to model theory itself, making the book accessible (with a little effort) to readers with no previous knowledge of model theory. The authors have collaborated closely to achieve a coherent and self- contained presentation, whereby the completeness of exposition of the chapters varies according to the existence of other good references, but comments and examples are always provided to give the reader some intuitive understanding of the subject.
| Author | : Yves Félix |
| Publisher | : Oxford University Press |
| Total Pages | : 483 |
| Release | : 2008 |
| Genre | : Mathematics |
| ISBN | : 0199206511 |
Download Algebraic Models in Geometry Book in PDF, ePub and Kindle
Rational homotopy is a very powerful tool for differential topology and geometry. This text aims to provide graduates and researchers with the tools necessary for the use of rational homotopy in geometry. Algebraic Models in Geometry has been written for topologists who are drawn to geometrical problems amenable to topological methods and also for geometers who are faced with problems requiring topological approaches and thus need a simple and concrete introduction to rational homotopy. This is essentially a book of applications. Geodesics, curvature, embeddings of manifolds, blow-ups, complex and K hler manifolds, symplectic geometry, torus actions, configurations and arrangements are all covered. The chapters related to these subjects act as an introduction to the topic, a survey, and a guide to the literature. But no matter what the particular subject is, the central theme of the book persists; namely, there is a beautiful connection between geometry and rational homotopy which both serves to solve geometric problems and spur the development of topological methods.
| Author | : Max K. Agoston |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 984 |
| Release | : 2005-02 |
| Genre | : Computers |
| ISBN | : 9781852338176 |
Download Computer Graphics and Geometric Modelling Book in PDF, ePub and Kindle
The second book of a two-volume work in which the author presents an overview of computer graphics as seen in the context of geometric modeling and the mathematics required to understand the subject.
| Author | : Jean H. Gallier |
| Publisher | : Morgan Kaufmann |
| Total Pages | : 512 |
| Release | : 2000 |
| Genre | : Computers |
| ISBN | : 9781558605992 |
Download Curves and Surfaces in Geometric Modeling Book in PDF, ePub and Kindle
"Curves and Surfaces in Geometric Modeling: Theory and Algorithms offers a theoretically unifying understanding of polynomial curves and surfaces as well as an effective approach to implementation that you can apply to your own work as a graduate student, scientist, or practitioner." "The focus here is on blossoming - the process of converting a polynomial to its polar form - as a natural, purely geometric explanation of the behavior of curves and surfaces. This insight is important for more than just its theoretical elegance - the author demonstrates the value of blossoming as a practical algorithmic tool for generating and manipulating curves and surfaces that meet many different criteria. You'll learn to use this and other related techniques drawn from affine geometry for computing and adjusting control points, deriving the continuity conditions for splines, creating subdivision surfaces, and more." "It will be an essential acquisition for readers in many different areas, including computer graphics and animation, robotics, virtual reality, geometric modeling and design, medical imaging, computer vision, and motion planning."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved
