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The Use of Projective Geometry in Computer Graphics (Paperback, 1992 ed.)
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The Use of Projective Geometry in Computer Graphics (Paperback, 1992 ed.)
Series: Lecture Notes in Computer Science, 564
Expected to ship within 10 - 15 working days
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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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