Product Description
The aim of this student textbook is to introduce the mathematical and geometrical principles supporting computer graphics, and to explain important concepts. A set of integrated concepts is presented whose mastery is necessary for a thorough understanding of the mathematics and geometry involved, and several important concepts are emphasized, such as parametric geometry, transformations, vectors, matrix methods, data structures, algorithm development and computational efficiency. The text also covers a range of computer applications referred to as geometric modelling. The study is intended for the undergraduate student specializing in computer science, engineering or applied mathematics, whose major interests are in computer graphics, CAD/CAM systems or geometric modelling. It can also serve as a supplement to postgraduate courses. ... Read more

Product Description
As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics, which sometimes do not cover the underlying geometric concepts in detail.Gallier offers an introduction to affine geometry, projective geometry, Euclidean geometry, basics of differential geometry and Lie groups, and a glimpse of computational geometry (convex sets, Voronoi diagrams, and Delaunay triangulations) and explores many of the practical applications of geometry. Some of these applications include computer vision (camera calibration) efficient communication, error-correcting codes, cryptography, motion interpolation, and robot kinematics.This comprehensive text with extensive exercises covers most of the geometric background needed for conducting research in computer graphics, geometric modeling, computer vision, and robotics and as such will be of interest to a wide audience including computer scientists, mathematicians, and engineers. ... Read more

Customer Reviews (1)

Fantastic! One of a kind.
This is a beautiful and unique book. The style is lively and the explanations are remarkably clear. The author makes a significant effort to demistify concepts before defining them rigorously and proving facts about them. It is impressive to see the variety of the topics covered in the book. For example, there is a nice and easy introduction to Lie groups and Lie algebras, and an exquisite treatment of the elementary differential geometry of curves and surfaces. As the author states, this material is a write-up of lectures given by the famous geometer Eugene Calabi (of the Calabi-Yau manifolds!), and this is quite a treat. Gallier's presentation definitely rivals do Carmo, one of the best. It is also refreshing and illuminating to see topics such as QR-decomposition and decomposition in terms of Householder matrices, treated from a geometric point of view. For that matter, the treatment of polar forms and SVD is superior, although perhaps a bit abstract for mytaste. There are lots of problems, including programming projects. At first glance, the problems are on the hard side. This could turn off some students. In conclusion, this is a great book.Even though it is very well written, this is not an"easy book". However, perseverant readers will find its reading very rewarding. It is a great preparation for more advanced books on Lie groups, differential geometry, and projective and algebraic geometry. The sections on applications are very nice, but there should be more and they should be moreextensive. Oh, I was forgetting, the internet supplement is great. For example, there is a wonderful treatment of rational curves and surfaces. Every geometry lover should have this book! ... Read more

Product Description
Dynamic geometry is active, exploratory geometry carried out with interactive computer software. It has had a profound effect on classroom teaching whereever it has been introduced and has become an indispensable research tool for mathematicians and scientists. The papers in this volume give a good idea of the ways in which the software can be used, and some of the effects it can have. It is clear that the software raises various questions for teaching and research, and its continuing evolution raises questions on the design of the software itself.

With the use of interactive computer software, the focus in teaching shifts from students laboriously making constructions by hand to verify a stated fact in a text (for which there seems little reason to produce a proof) to a focus on students carrying out experiments, quickly producing many accurate sketchesfrom which they conjecture properties that seem to be "always" true.

The latest dynamic geometry software takes advantage of current computer hardware with mouse interface for graphics and great speed. What is most exciting about the software is its dynamic nature. Thus, after a geometric configuration is drawn, any unconstrained parts of the configuration (arbitrary segments or points, for example), that are not dependent on any other objects are moveable-they can literally be grabbed with a cursor (using the mouse) and can be dragged or stretched - and as they move, all other objects in the configuration automatically self-adjust, preserving all dependent relationships and constraints. Although this volume is printed in a conventional manner, and every paper has illustrations, most of the illustrations beg to be plaed with. We want you to be able to experience some of the explorations described by our authors. To make that possible, dynamic sketches that use The Geometer's Sketchpad or Cabri II have been made available by several of the authors and are posted on a Web page maintained by the Mathematics Forum. ... Read more

Product Description

This is the first graduate textbook on the algorithmic aspects of real algebraic geometry. The main ideas and techniques presented form a coherent and rich body of knowledge. Mathematicians will find relevant information about the algorithmic aspects. Researchers in computer science and engineering will find the required mathematical background. Being self-contained the book is accessible to graduate students and even, for invaluable parts of it, to undergraduate students. This second edition contains several recent results on discriminants of symmetric matrices and other relevant topics.

Product Description
Stahl's Second Edition continues to provide students with the elementary and constructive development of modern geometry that brings them closer to current geometric research. At the same time, repeated use is made of high school geometry, algebra, trigonometry, and calculus, thus reinforcing the students' understanding of these disciplines as well as enhancing their perception of mathematics as a unified endeavor. This distinct approach makes these advanced geometry principles accessible to undergraduates and graduates alike. ... Read more

Product Description
This book constitutes the refereed proceedings of the 28th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2002, held in Cesky Krumlov, Czech Republic in June 2002.

The 36 revised full papers presented were carefully selected from initially 61 submissions during two rounds of reviewing and improvement. The papers provide a wealth of new results for various classes of graphs, graph computations, graph algorithms, and graph-theoretical applications in various fields. ... Read more

Product Description
An up-to-date report on the current status of importantresearch topics in algebraic geometry and its applications, such ascomputational algebra and geometry, singularity theory algorithms,numerical solutions of polynomial systems, coding theory,communication networks, and computer vision. Contributions on morefundamental aspects of algebraic geometry include expositions relatedto counting points on varieties over finite fields, Mori theory,linear systems, Abelian varieties, vector bundles on singular curves,degenerations of surfaces, and mirror symmetry of Calabi-Yaumanifolds. ... Read more

Product Description
This book constitutes the thoroughly refereed post-workshop proceedings of the 24th International Workshop on Graph-Theoretic Concepts in Computer Science, WG'98, held in Smolenice Castle, Slovak Republic, in June 1998. The 30 revised full papers presented were carefully selected from a total of 61 submissions. The papers provide a wealth of new results for various classes of graphs, graph computations, graph algorithms and graph-theoretic applications in computer science. ... Read more

Product Description
For more than a decade, Foundations of Software Technologyand TheoreticalComputer Science Conferences have beenproviding an annual academic computerscience forum for thepresentation of new results in the topics ofcurrentresearch in India and abroad. This year, there was a totalof 125 papers from 14 countries. Each paper was reviewed byat least three reviewers; based on these reviews, theprogramme committee selected 28papers at a meeting held inJuly 1992 at the Tata Institute of FundamentalResearch,Bombay.The selected papers are included in this volume,togetherwith three invited papers: "Games and full completenessformultiplicative linear logic" by S. Abramsky, "Recentdevelopments inalgorithms for the maximum-flow problem" byK. Melhorn, and "System specification and refinement intemporal logic" by A. Pnueli. ... Read more

Product Description
This volume presents the proceedings of the Second Annual European Symposium on Algorithms (ESA '94), held near Utrecht, The Netherlands in September 1994. ESA is the premier European conference on algorithms. The 42 papers presented were selected from a total of 159 submissions and reflect many of the current directions in algorithm research. The volume is organized into chapters on automatic graph drawing and rendering, spanners and Steiner trees, efficient data structures and complexity analysis, graph algorithms, distributed algorithms, computational geometry and its applications, operations research and combinatorial optimization, parallel computation and interconnection networks, complexity theory, and text processing ... Read more

Product Description

This book constitutes the thoroughly refereed joint post-proceedings of the 6th International Workshop on Mathematics Mechanization, IWMM 2004, held in Shanghai, China in May 2004 and the International Workshop on Geometric Invariance and Applications in Engineering, GIAE 2004, held in Xian, China in May 2004.

The 30 revised full papers presented were rigorously reviewed and selected from 65 presentations given at the two workshops. The papers are devoted to topics such as applications of computer algebra in celestial and engineering multibody systems, differential equations, computer vision, computer graphics, and the theory and applications of geometric algebra in geometric reasoning, robot vision, and computer graphics.

Product Description
The four volume set LNCS 2350/2351/2352/2353 constitutes the refereed proceedings of the 7th European Conference on Computer Vision, ECCV 2002, held in Copenhagen, Denmark, in May 2002. The 226 revised full papers presented were carefully reviewed and selected from a total of around 600 submissions. The four books offer topical sections on active and real-time vision, image features, visual motion, surface geometry, grouping and segmentation, stereoscopic vision, structure from motion, shape, object recognition, color and shading, vision systems, statistical learning, robot vision, and calibration. ... Read more

Product Description

This book constitutes the thoroughly refereed post-proceedings of the Second International Workshop on Statistical Methods in Video Processing, SMVP 2004, held in Prague, Czech Republic in May 2004 as an ECCV 2004 workshop.

The 17 revised full papers presented were carefully selected and improved during two rounds of reviewing and revision. The papers are organized in topical sections on 3D geometry, tracing, background modeling, and image and video analysis.

Product Description
This book constitutes the refereed proceedings of the First International Symposium on Digital Earth Moving, DEM 2001, held in Manno, Switzerland, in September 2001.
The twelve revised technical papers presented were carefully reviewed and selected from 36 submissions. Among the topics addressed are automated and computer-aided constructions, topographic form parameterization, off-the-shelf software, digital terrain data, and real-time graphical representation. ... Read more

Product Description

This book constitutes the refereed proceedings of the 4th International Conference on Scale Space Methods in Computer Vision, Scale-Space 2003, held at Isle of Skye, UK in June 2003.

The 56 revised full papers presented were carefully reviewed and selected from 101 submissions. The book offers topical sections on deep structure representations, scale space mathematics, equivalences, implementing scale spaces, minimal approaches, evolution equations, local structure, image models, morphological scale spaces, temporal scale spaces, shape, and motion and stereo. ... Read more

Product Description
This book constitutes the refereed proceedings of the 5thAnnual International Conference on Computing and Combinatorics,COCOON'99, held in Tokyo, Japan in July 1999. The 46 revised paperspresented were carefully reviewed and selected from a total of 88submissions; also included are two invited survey papers. The papersare organized in topical sections on data structures, computationalbiology, graph drawing, discrete mathematics, graph algorithms,automata and languages, complexity theory and learning, combinatorialoptimization, number theory, distributed computing, network routing,computational geometry, online algorithms, rewriting systems, andparallel computing ... Read more

Product Description
This book is based on lectures presented at a workshop held at Hewlett Packard, Böblingen, FRG, in May 1990. The primary purpose of the workshop was to provide a forum for the exchange of technology between universities and industrial CAD/CAM centers. The workshop brought together international experts in the area of geometric modeling, industrial designers, and developers of industrial applications. Contributions cover a wide range of topics, including: - Surfaces on surfaces - Surfaces in solid modeling - Rational curves and surfaces - Scattered data methods - Smooth curve and surface design - Algebraic surfaces - NC-milling - Box splines - Feature modeling - Parametric design - Blossoming (or polarization) ... Read more

Product Description

The four-volume set comprising LNCS volumes 3951/3952/3953/3954 constitutes the refereed proceedings of the 9th European Conference on Computer Vision, ECCV 2006, held in Graz, Austria, in May 2006.

The 192 revised papers presented were carefully reviewed and selected from a total of 811 papers submitted. The four books cover the entire range of current issues in computer vision. The papers are organized in topical sections on recognition, statistical models and visual learning, 3D reconstruction and multi-view geometry, energy minimization, tracking and motion, segmentation, shape from X, visual tracking, face detection and recognition, illumination and reflectance modeling, and low-level vision, segmentation and grouping.

Product Description
For more than a decade, Foundations of Software Technologyand TheoreticalComputer Science Conferences have beenproviding an annual forum for thepresentation of newresearch results in India and abroad. This year, 119papersfrom 20 countries were submitted. Each paper was reviewed byatleast three reviewers, and 33 papers were selected forpresentation and included in this volume, grouped into partson type theory, parallelalgorithms, term rewriting, logicand constraint logic programming, computational geometry andcomplexity, software technology, concurrency,distributedalgorithms, and algorithms and learning theory. Alsoincluded in the volume are the five invited papers presentedat theconference. ... Read more

Product Description
This volume constitutes the refereed proceedings of the Second International Conference on Scale-Space Theories in Computer Vision, Scale-Space'99, held in Corfu, Greece, in September 1999. The 36 revised full papers and the 18 revised posters presented in the book were carefully reviewed and selected from 66 high-quality submissions. The book addresses all current aspects of this young and active field, in particular geometric Image flows, nonlinear diffusion, functional minimization, linear scale-space, etc. ... Read more