Taking a novel, more appealing approach than current texts, An
Integrated Introduction to Computer Graphics and Geometric Modeling
focuses on graphics, modeling, and mathematical methods, including
ray tracing, polygon shading, radiosity, fractals, freeform curves
and surfaces, vector methods, and transformation techniques. The
author begins with fractals, rather than the typical line-drawing
algorithms found in many standard texts. He also brings the turtle
back from obscurity to introduce several major concepts in computer
graphics. Supplying the mathematical foundations, the book covers
linear algebra topics, such as vector geometry and algebra, affine
and projective spaces, affine maps, projective transformations,
matrices, and quaternions. The main graphics areas explored include
reflection and refraction, recursive ray tracing, radiosity,
illumination models, polygon shading, and hidden surface
procedures. The book also discusses geometric modeling, including
planes, polygons, spheres, quadrics, algebraic and parametric
curves and surfaces, constructive solid geometry, boundary files,
octrees, interpolation, approximation, Bezier and B-spline methods,
fractal algorithms, and subdivision techniques. Making the material
accessible and relevant for years to come, the text avoids
descriptions of current graphics hardware and special programming
languages. Instead, it presents graphics algorithms based on
well-established physical models of light and cogent mathematical
methods.
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