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Mathematics for Computer Graphics Applications

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Computer graphics is more than an isolated discipline at an intersection of computer science, mathematics, and engineering. It is the very visible leading edge of a revolution in how we use computers and automation to enhance our lives. It has changed forever the worlds of engineering and science, medicine, and the media, too. The wonderful special effects that entertain and inform us at the movies, on TV, or while surfing cyberspace are possible only through powerful computer graphics applications. From the creatures of Jurassic Park, and the imaginary worlds of Myst and Star Wars, to the dance of virtual molecules on a chemist's computer display screen, these effects applied in the arts, entertainment, and science are possible, in turn, only because an equally wonderful world of mathematics is at work behind the scenes. Some of the mathematics is traditional, but with a new job to do, and some is brand new.

Mathematicsfor Computer Graphics Applications introduces the mathematics that is the foundation of many of today's most advanced computer graphics applications. These include computer-aided design and manufacturing, geometric modeling, scientific visualization, robotics, computer vision, virtual reality, ... and, oh yes, special effects in cinematography. It is a textbook for the college student majoring in computer science, engineering, or applied mathematics and science, whose special interests are in computer graphics, CAD/CAM systems, geometric modeling, visualization, or related subjects. Some exposure to elementary calculus and a familiarity with introductory linear algebra as usually presented in standard college algebra courses is helpful but not strictly necessary. (Careful attention to the material of Chapter 5, which discusses limit and continuity, may preempt the calculus prerequisite.) The textbook is also useful for on-the-job training of employees whose skills can be profitably expanded into this area, and as a tutorial for independent study. The professional working in these fields will find it to be a comprehensive reference.

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