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If You Were a Polygon
The creative examples, simple text, and art in this series help students learn primary math concepts.
Polygons, Polyominoes and Polycubes
The problem of counting the number of self-avoiding polygons on a square grid, - therbytheirperimeterortheirenclosedarea,is aproblemthatis soeasytostate that, at ?rst sight, it seems surprising that it hasn’t been solved. It is however perhaps the simplest member of a large class of such problems that have resisted all attempts at their exact solution. These are all problems that are easy to state and look as if they should be solvable. They include percolation, in its various forms, the Ising model of ferromagnetism, polyomino enumeration, Potts models and many others. These models are of intrinsic interest to mathematicians and mathematical physicists, but can also be applied to many oth...
The History of the Theory of Structures
This book traces the evolution of theory of structures and strength of materials - the development of the geometrical thinking of the Renaissance to become the fundamental engineering science discipline rooted in classical mechanics. Starting with the strength experiments of Leonardo da Vinci and Galileo, the author examines the emergence of individual structural analysis methods and their formation into theory of structures in the 19th century. For the first time, a book of this kind outlines the development from classical theory of structures to the structural mechanics and computational mechanics of the 20th century. In doing so, the author has managed to bring alive the differences betwe...
Computational Geometry in C
This 1998 book explains the design of geometry algorithms, including discussion of implementation issues and working C code.
Introduction to Geometric Computing
Computing is quickly making much of geometry intriguing not only for philosophers and mathematicians, but also for scientists and engineers. What is the core set of topics that a practitioner needs to study before embarking on the design and implementation of a geometric system in a specialized discipline? This book attempts to find the answer. Every programmer tackling a geometric computing problem encounters design decisions that need to be solved. This book reviews the geometric theory then applies it in an attempt to find that elusive "right" design.
Polygon Mesh Processing
Geometry processing, or mesh processing, is a fast-growing area of research that uses concepts from applied mathematics, computer science, and engineering to design efficient algorithms for the acquisition, reconstruction, analysis, manipulation, simulation, and transmission of complex 3D models. Applications of geometry processing algorithms already cover a wide range of areas from multimedia, entertainment, and classical computer-aided design, to biomedical computing, reverse engineering, and scientific computing. Over the last several years, triangle meshes have become increasingly popular, as irregular triangle meshes have developed into a valuable alternative to traditional spline surfaces. This book discusses the whole geometry processing pipeline based on triangle meshes. The pipeline starts with data input, for example, a model acquired by 3D scanning techniques. This data can then go through processes of error removal, mesh creation, smoothing, conversion, morphing, and more. The authors detail techniques for those processes using triangle meshes. A supplemental website contains downloads and additional information.
Near Polygons
Dedicated to the Russian mathematician Albert Shiryaev on his 70th birthday, this is a collection of papers written by his former students, co-authors and colleagues. The book represents the state-of-the-art of a quickly maturing theory and will be an essential source for researchers in this area. The diversity of topics and comprehensive style of the papers make the book attractive for Ph.D. students and young researchers.
Introducing Geographic Information Systems with ArcGIS
Introducing Geographic Information Systems with ArcGIS A unique approach to learning and teaching GIS, updated for ArcGIS 9.3 Introducing Geographic Information Systems with ArcGIS, Second Edition serves as both an easy-to-understand introduction to GIS and a hands-on manual for the ArcGIS 9.3 software. This combination theory-workbook approach is designed to quickly bring the reader from GIS neophyte to well-informed GIS user from both a general knowledge and practical viewpoint. Replacing the traditional separate texts on theory and application, the book integrates a broad introduction to GIS with a software-specific workbook for ESRIs ArcGIS in a single comprehensive volume.?Easy to read,...
Generalized Polygons
This book is intended to be an introduction to the fascinating theory ofgeneralized polygons for both the graduate student and the specialized researcher in the field. It gathers together a lot of basic properties (some of which are usually referred to in research papers as belonging to folklore) and very recent and sometimes deep results. I have chosen a fairly strict geometrical approach, which requires some knowledge of basic projective geometry. Yet, it enables one to prove some typically group-theoretical results such as the determination of the automorphism groups of certain Moufang polygons. As such, some basic group-theoretical knowledge is required of the reader. The notion of a gen...
Maya Character Creation
A unique, in-depth approach to creating realistic characters in Maya. Maya Character Creation: Modeling and Animation Controls' author, Chris Maraffi, has expertise in the field and in the classroom that translates to the knowledge and solid teaching skills needed to make this book a "must-have"! The current trend in computer graphics is greater organic realism. Many of the top-grossing movies today, such as Spiderman, Lord of the Rings, Jurassic Park 3 , and Star Wars Episode 2, all feature realistic 3D characters. There is a major need in the 3D community for educational material that demonstrates detailed techniques for achieving this organic reality. Maya is one of the main packages used...
