Computer graphics: the mathematics behind the scenes

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This work describes computer graphics with focus on the mathematics behind the scenes. Representations of three-dimensional objects, such as curves, surfaces, and solids are described. Integral and rational Bezier curves, B-splines and NURBS are used for the modeling of curves and surfaces. The objects can be visualized as projections and a useful model for defining the view of a scene, the synthetic-camera model, is described. Basic algorithms for rendering of lines and circles are discussed. Examples of interactive programs in Java which demonstrate render...