The ultimate goal of all 3D graphics systems is to render 3D objects on a two-dimensional surface such as plotter output or a workstation screen. The approach adopted by most graphics systems is to perform a central or parallel projection of the objects onto the view surface. These systems have to make use of the mathematical results of projective geometry. This monograph has as its aim the derivation of a framework for analyzing the behavior of projective transformations in graphics systems. It is shown that a mathematically precise description of the projective geometrical nature of a graphics system leads not only to a deeper understanding of the system but also to new approaches which result in faster or more precise algorithms. A further aim of the book is to show the importance of advanced mathematics for computer science. Many problems become easier to describe or to solve when the appropriate mathematical tools are used. The author demonstrates that projective geometry has a major role to play in computer graphics.
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The ultimate goal of all 3D graphics systems is to render 3D objects on a two-dimensional surface such as plotter output or a workstation screen. The approach adopted by most graphics systems is to perform a central or parallel projection of the objects onto the view surface. These systems have to make use of the mathematical results of projective geometry. This monograph has as its aim the derivation of a framework for analyzing the behavior of projective transformations in graphics systems. It is shown that a mathematically precise description of the projective geometrical nature of a graphics system leads not only to a deeper understanding of the system but also to new approaches which result in faster or more precise algorithms. A further aim of the book is to show the importance of advanced mathematics for computer science. Many problems become easier to describe or to solve when the appropriate mathematical tools are used. The author demonstrates that projective geometry has a major role to play in computer graphics.
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Paperback. Zustand: new. Paperback. The ultimate goal of all 3D graphics systems is to render 3Dobjects on a two-dimensional surface such as plotter outputor a workstation screen. The approach adopted by mostgraphics systems is to perform a central or parallelprojection of the objects onto the view surface. Thesesystems have to make use of the mathematical results ofprojective geometry.This monograph has as its aim the derivation of a frameworkfor analyzing the behavior of projective transformations ingraphics systems. It is shown that a mathematically precisedescription of the projective geometrical nature of agraphics system leads not only to a deeper understanding ofthe system but also to new approaches which result in fasteror more precise algorithms.A further aim of the book is to show the importance ofadvanced mathematics for computer science. Many problemsbecome easier to describe or to solve when the appropriatemathematical tools are used. The author demonstrates thatprojective geometry has a major role to play in computergraphics. The ultimate goal of all 3D graphics systems is to render 3Dobjects on a two-dimensional surface such as plotter outputor a workstation screen. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9783540550754
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The ultimate goal of all 3D graphics systems is to render 3Dobjects on a two-dimensional surface such as plotter outputor a workstation screen. The approach adopted by mostgraphics systems is to perform a central or parallelprojection of the objects onto the view surface. Thesesystems have to make use of the mathematical results ofprojective geometry.This monograph has as its aim the derivation of a frameworkfor analyzing the behavior of projective transformations ingraphics systems. It is shown that a mathematically precisedescription of the projective geometrical nature of agraphics system leads not only to a deeper understanding ofthe system but also to new approaches which result in fasteror more precise algorithms.A further aim of the book is to show the importance ofadvanced mathematics for computer science. Many problemsbecome easier to describe or to solve when the appropriatemathematical tools are used. The author demonstrates thatprojective geometry has a major role to play in computergraphics. 164 pp. Englisch. Bestandsnummer des Verkäufers 9783540550754
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