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Curves and Surfaces for Computer Graphics
Computer graphics is important in many areas including engineering design, architecture, education, and computer art and animation. This book examines a wide array of current methods used in creating real-looking objects in the computer, one of the main aims of computer graphics. Key features: - Good foundational mathematical introduction to curves and surfaces; no advanced math required - Topics organized by different interpolation/approximation techniques, each technique providing useful information about curves and surfaces - Exposition motivated by numerous examples and exercises sprinkled throughout, aiding the reader - Includes a gallery of color images, Mathematica code listings, and sections on curves and surfaces by refinement and on sweep surfaces - Web site maintained and updated by the author, providing readers with errata and auxiliary material This engaging text is geared to a broad and general readership of computer science/architecture engineers using computer graphics to design objects, programmers for computer gamemakers, applied mathematicians, and students majoring in computer graphics and its applications. It may be used in a classroom setting or as a general reference.
Basic Theory -- Linear Interpolation -- Polynomial Interpolation -- Hermite Interpolation -- Spline Interpolation -- Bézier Approximation -- B-Spline Approximation -- Subdivision Methods -- Sweep Surfaces.
Computer Imaging, Vision, Pattern Recognition and Graphics
Computer-Aided Engineering (CAD, CAE) and Design