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NURBS (Non-uniform Rational B-Splines) are the computer graphics industry standard for curve and surface description. They are now incorporated into all standard computer-aided design and drafting programs (for instance, Autocad). They are also extensively used in all aspects of computer graphics including much of the modeling used for special effects in film and animation, consumer products, robot control, and automobile and aircraft design. So, the topic is particularly important at this time because NURBS are really at the peak of interest as applied to computer graphics and CAD of all kind.
This text is ideal for junior-, senior-, and graduate-level courses in computer graphics and computer-aided design taught in departments of mechanical and aeronautical engineering and computer science. It presents in a unified manner an introduction to the mathematical theory underlying computer graphic applications. It covers topics of keen interest to students in engineering and computer science: transformations, projections, 2-D and 3-D curve definition schemes, and surface definitions. It also includes techniques, such as B-splines, which are incorporated as part of the software in advanced engineering workstations. A basic knowledge of vector and matrix algebra and calculus is required.
The major thrust of this book is to present a technique of analysis that aids the formulation, understanding, and solution of problems of viscous flow. The intent is to avoid providing a "canned" program to solve a problem, offering instead a way to recognize the underlying physical, mathematical, and modeling concepts inherent in the solutions. The reader must first choose a mathematical model and derive governing equations based on realistic assumptions, or become aware of the limitations and assumptions associated with existing models. An appropriate solution technique is then selected. The solution technique may be either analytical or numerical. Computer-aided analysis algorithms supple...
This textbook, offering coverage of computer graphics, features and emphasis on rendering an in-depth coverage of classical computer algorithms. It also contains over 90 worked examples.
In the third paper in this chapter, Mike Pratt provides an historical intro duction to solid modeling. He presents the development of the three most freqently used techniques: cellular subdivision, constructive solid modeling and boundary representation. Although each of these techniques devel oped more or less independently, today the designer's needs dictate that a successful system allows access to all of these methods. For example, sculptured surfaces are generally represented using a boundary represen tation. However, the design of a complex vehicle generally dictates that a sculptured surface representation is most efficient for the 'skin' while constructive solid geometry representati...
Applies the precepts of samurai philosophy and practice to the problems of doing business and of daily living and shows how to defeat opponents by overcoming the "inner opponents"
The Old Faith and the Russian Land is a historical ethnography that charts the ebbs and flows of ethical practice in a small Russian town over three centuries. The town of Sepych was settled in the late seventeenth century by religious dissenters who fled to the forests of the Urals to escape a world they believed to be in the clutches of the Antichrist. Factions of Old Believers, as these dissenters later came to be known, have maintained a presence in the town ever since. The townspeople of Sepych have also been serfs, free peasants, collective farmers, and, now, shareholders in a post-Soviet cooperative. Douglas Rogers traces connections between the town and some of the major transformati...
Beginning with the Church Fathers and moving right through to the present day, The Holy Spirit offers a theologically informed, international collection of the most important texts relating to Christians' understanding of the Holy Spirit. A new volume of texts and readings offering a chronologically-organized selection of the most important and interesting writings on the Holy Spirit Considers how the Holy Spirit has always been an integral part of both Christian belief and systematic theology - from the Church Fathers through to the present day Each set of readings is prefaced by an introduction from the editor, drawing out the main themes and important historical points, and linking the readings to what has gone before Tackles the disagreements over the role of the Holy Spirit within the Trinity, and how it was a contributing factor in the split between the Western and Eastern Church Opens with a newly-commissioned essay describing the importance of the Holy Spirit in the theology of the last one hundred years, and in particular in relation to the revival of Trinitarian theology