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Geometry
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1. |  Multiple View Geometry in Computer Vision By: Richard Hartley; Andrew Zisserman Publisher: Cambridge University Press Publication Date: 25-MAR-2004 Insert Date: 03-MAY-2013 Slots: 1.0 | Overview: Multiple View Geometry in Computer Vision
A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Techniques for solving this problem are taken from projective geometry and photogrammetry. Here, the authors cover the geometric principles and their algebraic representation in terms of camera projection matrices, the fundamental matrix and the trifocal tensor. The theory and methods of computation of these entities are discussed with real examples, as is their use in the reconstruction of scenes from multiple images. The new edition features an extended introduction...
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2. |  By: Francesco Maggi Publisher: Cambridge University Press Publication Date: 09-AUG-2012 Insert Date: 30-NOV-2012 Slots: 1.0 |
The marriage of analytic power to geometric intuition drives many of today's mathematical advances, yet books that build the connection from an elementary level remain scarce. This engaging introduction to geometric measure theory bridges analysis and geometry, taking readers from basic theory to some of the most celebrated results in modern analysis. The theory of sets of finite perimeter provides a simple and effective framework. Topics covered include existence, regularity, analysis of singularities, characterization and symmetry results for minimizers in geometric variational...
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3. |  By: Reinhard Klette; Azriel Rosenfeld Publisher: Morgan Kaufmann Publication Date: 06-AUG-2004 Insert Date: 08-AUG-2012 Slots: 1.0 | Overview: Digital Geometry
Digital geometry is about deriving geometric information from digital pictures. The field emerged from its mathematical roots some forty-years ago through work in computer-based imaging, and it is used today in many fields, such as digital image processing and analysis (with applications in medical imaging, pattern recognition, and robotics) and of course computer graphics. Digital Geometry is the first book to detail the concepts, algorithms, and practices of the discipline. This comphrehensive text and reference provides an introduction to the mathematical foundations of digital...
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4. |  3-D Surface Geometry and Reconstruction By: Umesh Chandra Pati Publisher: IGI Global Publication Date: 29-FEB-2012 Insert Date: 18-MAY-2012 Slots: 1.0 | Overview: 3-D Surface Geometry and Reconstruction The methods used to digitize and reconstruct complex 3-D objects have evolved in recent years due to increasing attention from industry and research. 3-D models have applications in various domains, including reverse engineering, collaborative design, inspection, entertainment, virtual museums, medicine, geology and home shopping. <br><b>3-D Surface Geometry and Reconstruction: Developing Concepts and Applications</b> provides developers and scholars with an extensive collection of research articles in the expanding field of 3-D reconstruction. This reference book investigates the...
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5. |  By: Sorin Dragomir; Domenico Perrone Publisher: Elsevier Publication Date: 01-NOV-2011 Insert Date: 09-MAR-2012 Slots: 1.0 | Overview: Harmonic Vector Fields
An excellent reference for anyone needing to examine properties of harmonic vector fields to help them solve research problems. The book provides the main results of harmonic vector fields with an emphasis on Riemannian manifolds using past and existing problems to assist you in analyzing and furnishing your own conclusion for further research. It emphasizes a combination of theoretical development with practical applications for a solid treatment of the subject useful to those new to research using differential geometric methods in extensive detail.
A useful tool for any scientist...
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6. |  By: Charles Fefferman; C. Robin Graham Publisher: Princeton University Press Publication Date: 01-DEC-2011 Insert Date: 04-OCT-2011 Slots: 1.0 | Overview: The Ambient Metric (AM-178) This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n + 2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincaré metric, a metric in n + 1 dimensions having the conformal manifold as its conformal infinity. In this realization, the construction has played a central role in the AdS/CFT correspondence in physics. The existence and uniqueness of the ambient metric at the formal power series level is treated in detail. This includes the derivation...
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7. |  Radon Transforms and the Rigidity of the Grassmannians (AM-156) By: Jacques Gasqui; Hubert Goldschmidt Publisher: Princeton University Press Publication Date: 05-JAN-2004 Insert Date: 03-OCT-2011 Slots: 1.0 | Overview: Radon Transforms and the Rigidity of the Grassmannians (AM-156) This book provides the first unified examination of the relationship between Radon transforms on symmetric spaces of compact type and the infinitesimal versions of two fundamental rigidity problems in Riemannian geometry. Its primary focus is the spectral rigidity problem: Can the metric of a given Riemannian symmetric space of compact type be characterized by means of the spectrum of its Laplacian? It also addresses a question rooted in the Blaschke problem: Is a Riemannian metric on a projective space whose geodesics are all closed and of the same length isometric to the canonical metric?...
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8. |  Blow-up Theory for Elliptic PDEs in Riemannian Geometry (MN-45): By: Olivier Druet; Emmanuel Hebey; Frédéric Robert Publisher: Princeton University Press Publication Date: 19-APR-2004 Insert Date: 03-OCT-2011 Slots: 1.0 | Overview: Blow-up Theory for Elliptic PDEs in Riemannian Geometry (MN-45): Elliptic equations of critical Sobolev growth have been the target of investigation for decades because they have proved to be of great importance in analysis, geometry, and physics. The equations studied here are of the well-known Yamabe type. They involve Schrödinger operators on the left hand side and a critical nonlinearity on the right hand side. A significant development in the study of such equations occurred in the 1980s. It was discovered that the sequence splits into a solution of the limit equation--a finite sum of bubbles--and a rest that converges strongly to zero in the...
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9. |  By: David S. Richeson Publisher: Princeton University Press Publication Date: 08-SEP-2008 Insert Date: 03-OCT-2011 Slots: 1.0 | Overview: Euler's Gem Leonhard Euler's polyhedron formula describes the structure of many objects--from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's formula is so simple it can be explained to a child. Euler's Gem tells the illuminating story of this indispensable mathematical idea. From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. In 1750, Euler observed that any polyhedron composed of V vertices, E...
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10. |  Computational Aspects of Modular Forms and Galois Representations By: Bas Edixhoven; Jean-Marc Couveignes; Robin de Jong; Johan Bosman; Johan Bosman Publisher: Princeton University Press Publication Date: 20-JUN-2011 Insert Date: 03-OCT-2011 Slots: 1.0 | Overview: Computational Aspects of Modular Forms and Galois Representations Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujan's tau-function as a typical example, have deep arithmetic significance. Prior to this book, the fastest known algorithms for computing these Fourier coefficients took exponential time, except in some special cases. The case of elliptic curves (Schoof's algorithm) was at the birth of elliptic curve cryptography around 1985. This book gives an algorithm for computing coefficients of modular forms of level...
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11. |  A Primer on Mapping Class Groups (PMS-49) By: Benson Farb; Dan Margalit Publisher: Princeton University Press Publication Date: 16-OCT-2011 Insert Date: 03-OCT-2011 Slots: 1.0 | Overview: A Primer on Mapping Class Groups (PMS-49) The study of the mapping class group Mod( S ) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students. A Primer on Mapping Class Groups begins by explaining the main group-theoretical properties of Mod( S ), from finite generation by Dehn twists and low-dimensional homology to the...
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12. |  By: Debra Anne Ross Publisher: Course Technology PTR Publication Date: 01-JUN-2009 Insert Date: 19-JAN-2010 Slots: 1.0 | Overview: Master Math: Geometry Get ready to master the concepts and principles of geometry! Master Math: Geometry is a comprehensive reference guide that explains and clarifies the principles of geometry in a simple, easy-to-follow style and format. You'll begin with the language of geometry, deductive reasoning and proofs, and key axioms and postulates. And as you understand the most basic fundamental topics you'll progress through to the more advanced topics, with step-by-step procedures and solutions, along with examples and applications, to help you as you go. A complete table of contents and a comprehensive index...
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13. |  By: Stray (Lindsey Fallow); Dawn Griffiths Publisher: O'Reilly Media, Inc. Publication Date: 24-NOV-2009 Insert Date: 19-NOV-2009 Slots: 1.0 | Overview: Head First 2D Geometry
Having trouble with geometry? Do Pi, The Pythagorean Theorem, and
angle calculations just make your head spin? Relax. With Head First
2D Geometry, you'll master everything from triangles, quads and
polygons to the time-saving secrets of similar and congruent angles
-- and it'll be quick, painless, and fun.
Through entertaining stories and practical examples from the world
around you, this book takes you beyond boring problems. You'll
actually
use
what you learn to make real-life decisions,
like using angles and parallel lines to crack a mysterious CSI
case. Put geometry to work for you, and...
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