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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.

Computer graphics --- Computergrafiek --- Geometrie projective --- Geometry [Projective ] --- Infographie --- Meetkunde [Projectieve ] --- Projective geometry --- Geometry, Modern --- Geometry, Projective --- 681.3*I3 --- 681.3*I3 Computer graphics (Computing methodologies) --- Computer graphics (Computing methodologies) --- Automatic drafting --- Graphic data processing --- Graphics, Computer --- Computer art --- Graphic arts --- Electronic data processing --- Engineering graphics --- Image processing --- Digital techniques --- Computer graphics. --- Geometry, Projective. --- Computer science. --- Computer science --- Geometry. --- Computer Applications. --- Computer Graphics. --- Computational Mathematics and Numerical Analysis. --- Mathematics. --- Mathematics --- Euclid's Elements --- Computer mathematics --- Informatics --- Science

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Mechanics, Analytic --- -Line geometry --- -Geometry, Projective --- -Projective geometry --- Geometry, Modern --- Geometry, Line --- Algebras, Linear --- Analytical mechanics --- Kinetics --- History --- -History --- -Mechanics, Analytic --- -Mécanique des solides / et géométrie. Histoire. 19e s. --- Vaste lichamen. Mechanica / en meetkunde. Geschiedenis. 19e eeuw. --- Mécanique des solides / et géométrie. Histoire. 19e s. --- Geometry, Projective --- Line geometry --- Projective geometry

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Computer graphics --- Computergrafiek --- Infographie --- 514.14 --- 681.1 x --- Algebras, Linear --- -Computer graphics --- Geometry --- -Mathematics --- Euclid's Elements --- Automatic drafting --- Graphic data processing --- Graphics, Computer --- Computer art --- Graphic arts --- Electronic data processing --- Engineering graphics --- Image processing --- Linear algebra --- Algebra, Universal --- Generalized spaces --- Mathematical analysis --- Calculus of operations --- Line geometry --- Topology --- Affine geometry. Projective geometry --- Apparatus with wheel or motor mechanisms --- Data processing --- Digital techniques --- Computer graphics. --- Data processing. --- -Affine geometry. Projective geometry --- 681.1 x Apparatus with wheel or motor mechanisms --- 514.14 Affine geometry. Projective geometry --- -Automatic drafting --- Algebras [Linear ] --- Geometry - Data processing. --- Algebras, Linear - Data processing.