TY - BOOK AU - Goldman,Ronald TI - Integrated introduction to computer graphics and geometric modeling SN - 9781439803349 (alk. paper) U1 - 006.6 23 PY - 2009/// CY - Boca Raton PB - CRC Press KW - Computer graphics KW - Three-dimensional display systems KW - Curves on surfaces KW - Mathematical models N1 - "A Chapman & Hall book."; Includes bibliographical references and index; I Two-Dimensional Computer Graphics: From Common Curves to Intricate Fractals 1. Turtle Graphics-- 2. Fractals from Recursive Turtle Programs-- 3. Some Strange Properties of Fractal Curves-- 4. Affine Transformations-- 5. Affine Geometry: A Connect-the-Dots Approach to Two-Dimensional Computer Graphics-- 6. Fractals from Iterated Function Systems-- 7. The Fixed-Point Theorem and Its Consequences-- 8. Recursive Turtle Programs and Conformal Iterated Function Systems-- II Mathematical Methods for Three-Dimensional Computer Graphics 9. Vector Geometry: A Coordinate-Free Approach-- 10. Coordinate Algebra-- 11. Some Applications of Vector Geometry-- 12. Coordinate-Free Formulas for Affine and Projective Transformations-- 13. Matrix Representations for Affine and Projective Transformations-- 14. Projective Space versus the Universal Space of Mass-Points-- 15. Quaternions: Multiplication in the Space of Mass-Points-- III Three-Dimensional Computer Graphics: Realistic Rendering 16. Color and Intensity-- 17. Recursive Ray Tracing-- 18. Surfaces I: The General Theory-- 19. Surfaces II: Simple Surfaces-- 20. Solid Modeling-- 21. Shading-- 22. Hidden Surface Algorithms-- 23. Radiosity-- IV Geometric Modeling: Freedom Curves and Surfaces 24. Bezier Curves and Surfaces-- 25. Bezier Subdivision-- 26. Blossoming-- 27. B-Spline Curves and Surfaces-- 28. Knot Insertion Algorithms for B-Spline Curves and Surfaces-- 29. Subdivision Matrices and Iterated Function Systems-- 30. Subdivision Surfaces-- Further Readings-- Index-- N2 - Using an innovative yet comprehensive approach, this book presents a concise introduction to computer graphics and geometric modeling. The author presents major themes in computer graphics, including transformations in the graphics pipeline, ray tracing, radiosity, and polygon shading ER -