Title An integrated introduction to computer graphics and geometric modeling / Ronald Goldman

Published Boca Raton, FL : CRC Press, is an imprint of Taylor & Francis Group, LLC, [2009] ©2009

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Description 1 online resource (xxix, 543 pages) : illustrations (some color) Series Chapman & Hall/CRC computer graphics, geometric modeling, and animation series Chapman & Hall/CRC computer graphics, geometric modeling, and animation series. Contents Turtle Graphics -- Fractals from Recursive Turtle Programs -- Some Strange Properties of Fractal Curves -- Affine Transformations -- Affine Geometry: A Connect-the-Dots Approach to Two-Dimensional Computer Graphics -- Fractals from Iterated Function Systems -- The Fixed-Point Theorem and Its Consequences -- Recursive Turtle Programs and Conformal Iterated Function Systems -- Vector Geometry: A Coordinate-Free Approach -- Coordinate Algebra -- Some Applications of Vector Geometry -- Coordinate-Free Formulas for Affine and Projective Transformations -- Matrix Representations for Affine and Projective Transformations -- Projective Space versus the Universal Space of Mass-Points -- Quaternions: Multiplication in the Space of Mass-Points -- Color and Intensity -- Recursive Ray Tracing -- Surfaces I: The General Theory -- Surfaces II: Simple Surfaces -- Solid Modeling -- Shading -- Hidden Surface Algorithms -- Radiosity -- Bezier Curves and Surfaces -- Bezier Subdivision -- Blossoming -- B-Spline Curves and Surfaces -- Knot Insertion Algorithms for B-Spline Curves and Surfaces -- Subdivision Matrices and Iterated Function Systems -- Subdivision Surfaces Summary 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 Notes Series statement from publisher's website "A Chapman & Hall book." Bibliography Includes bibliographical references and index Notes Print version record Subject Computer graphics Three-dimensional display systems. Curves on surfaces -- Mathematical models computer graphics. three-dimensional. COMPUTERS -- General. Computer graphics Curves on surfaces -- Mathematical models Three-dimensional display systems Algorithmische Geometrie Computergrafik Geometrische Modellierung Datorgrafik -- matematik. Geometri -- databehandling. Form Electronic book ISBN 9781439803356 1439803358 9780429165719 0429165714 1322626987 9781322626987

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