[For line geometry, offset curves and surfaces and similar topics see differential geometry.] --------------------------------------- 21637 Max Agoston: Computer graphics and geometric modeling. 2 volumes. Springer 2005, 910+950p. Eur 66+72. 16153 Marius Apetri: 3D-Graphikprogrammierung. Mitp 2002, 800p. Eur 40. A. Arokiasamy: Homogeneous coordinates and the principle of duality in two-dimensional clipping. Computers and Graphics 13 (1989), ... 18345 Günter Aumann/Klaus Spitzmüller: Computerorientierte Geometrie. Bibl. Inst. 1993, 540p. Gert Baer: Konstruktive Geometrie. Teubner 1995, 150p. 3-8154-2072-5. DM 20. 991 Brian Barsky: Computer graphics and geometric modeling using beta-splines. Springer 1988. H. Bez: Homogeneous coordinates for computer graphics. Computer Aided Design 15 (1983), ... J. Blinn/M. Newell: Clipping using homogeneous coordinates. Computer Graphics 12 (1978), ... W. Böhm/G. Farin/J. Kahmann: A survey of curve and surface methods in CAGD. Computer Aided Geom. Design 7 (1984), ... 16527 Wolfgang Boehm/Hartmut Prautzsch: Geometric concepts for geometric design. Peters 1994, 400p. $59. Peter Comninos: Mathematical and computer programming techniques for computer graphics. Springer 2005, 550p. Eur 92. A. Davies/P. Samuels: An introduction to computational geometry for curves and surfaces. Oxford UP 1995, 170p. Pds. 16 (pb.). E. Dotzauer: Mathematische Modellierung von 3D-Freiformobjekten. Hanser 1992, 230p. 3-446-17194-0. DM 56. An interesting book, both for mathematicians and engineers, with a strong geometrical flavour. Doris Dransch: Computeranimation in der Kartographie. Springer 1997, 150p. 3-540-61829-5. DM 78. 18272 Arne Dür: Computergrafik. Vorl. Univ. Innsbruck WS 2006/07, 99p. A good introduction to OpenGL and basic constructive geometry. 1540 Jose' Encarnacao/Wolfgang Strasser: Computer graphics. Oldenbourg 1988. 5703 Gerald Farin: Curves and surfaces for computer aided geometric design. Academic Press 1990, 440p. $ 40. A perfect textbook, well-written and solid, with a fairly good bibliography of 355 titles. Compared to the first edition considerably extended and revised. Gerald Farin/Josef Hoschek/M. Kim (ed.): Handbook of 3d-modeling. Elsevier 2002. 1594 Wolf-Dietrich Fellner: Computergrafik. Bibl. Inst. 1988. 19977 Andreas Filler: Herausarbeiten funktionaler und dynamischer Aspekte von Parameterdarstellungen durch die Erstellung von Computeranimationen. Math. Sb. 54 (2007), 155-176. 9649 James Foley/Andries van Dam/Steven Feiner/John Hughes: Computer graphics - principles and practice. Second edition in C. Addison-Wesley 1995. A. Fomenko/T. Kunii: Topological modeling for visualization. Springer 1997, 400p. 4-431-70200-8. DM 148. Oswald Giering/Josef Hoschek (ed.): Angewandte Geometrie (approx. title). Hanser. Contains many interesting articles. 1456 Oswald Giering/Hans Seybold: Konstruktive Ingenieurgeometrie. Hanser 1987. G. Glaeser: Fast algorithms for 3D-graphics. Springer 1995, 300p. 3-540-94288-2. DM 88. 29532 Georg Glaeser: Geometrie und ihre Anwendungen in Kunst, Natur und Technik. Springer 2022, 710p. Eur 50. 29131 Ronald Goldman: Computer graphics and geometric modeling. CRC 2009, 530p. Eur 97. 27693 Andrew Hanson: Visualizing quaternions. Elsevier 2006, 500p. Eur 77. 993 Erich Hartmann: Computerunterstuetzte darstellende Geometrie. Teubner 1988. H. Hege/K. Polthier (ed.): Visualization and mathematics III. Springer 2003. 5702 Ivan Herman: The use of projective geometry in computer graphics. Springer 1992. In my opinion not very useful. 23104 John Hobby: Smooth easy to compute interpolating splines. Discrete and Comp. Geom. 1/2 (1986), 123-140. S. Hoggar: Mathematics for computer graphics. Cambridge UP 1993, 470p. £ 25. Contents: Isometries, how isometries combine, the braid patterns, plane patterns and symmetries, the 17 plane patterns, more plane truth, matrix and vector algebra, isometries in 3-space, quaternions and rotations, fractals and nature, basic topology, compact sets, connected sets, holes and homomorphisms, the existence and uniqueness of fractals, iterated function systems, addresses and measures and the random iteration algorithm, Julia and Mandelbrot. 783 Josef Hoschek/Dieter Lasser: Grundlagen der geometrischen Datenverarbeitung. Teubner 1989. Kenichi Kanatani: Geometric computation for machine vision. Oxford UP 1993, 490p. 0-19-856385-x. Pds. 75. 26406 Andreas Kriegl: Computer graphics. Internet 2003, 180p. 18075 Y. Lai/.../Helmut Pottmann: Feature sensitive geometry processing. Internet 2005, 9p. D. Lasser: Kurven- und Flächenverschneidungsmethoden. CAD Computergraphik 13/1-2 (1990), 9-28. R. Liming: Practical analytical geometry with applications to aircraft. Macmillan 1944. Roy Liming: Mathematics for computer graphics. Aero Publishers 1979, 380p. 18074 Yang Liu/Helmut Pottmann/.../Wen-ping Wang: Geometric modeling with conical meshes and developable surfaces. Internet 2006, 9p. 5765 John Loustau/Meighan Dillon: Linear geometry with computer graphics. Dekker 1992, 460p. 0-8247-8898-2. $ 55. 992 Wolfram Luther/Martin Ohsmann: Mathematische Grundlagen der Computergraphik. Vieweg 1988. Yi Ma/Stefano Soatto/Jana Kosecka/S. Sastry: An invitation to 3-D vision. Springer 2003, 520p. Eur 80. Eberhard Malkowsky/Wolfgang Nickel: Computergrafik in der Differentialgeometrie. Vieweg 1993, 500p. 3-528-05357-7. DM 148. Mit Turbo-Pascal-Programmen und Diskette. Nicht allzu empfehlenswert. Michael Mortenson: Geometric transformations. Industrial Press 1995, 380p. Michael Mortenson: Geometric modeling. Industrial Press 2006, 450p. $50. 10932 Joseph O'Rourke: Computational geometry in C. Cambridge UP 1994, 370p. 0-521-44592-2 (pb.). Pds. 17. 2293 Bodo Pareigis: Analytische und projektive Geometrie fuer die Computergraphik. Teubner 1990. 6957 Bodo Pareigis: Besprechung des Buches "Oriented projective geometry" von J. Stolfi. Jber. DMV 97 (1995), B 34-36. T. Pavlidis: Algorithms for graphics and image processing. Computer Science Press 1982. M. Penna/R. Patterson: Projective geometry and its application to computer graphics. Prentice-Hall 1986. 17506 Helmut Pottmann/Qi-xing Huang/Yong-liang Yang/Stephan Kölpl: Integral invariants for robust geometry processing. Internet 2005, 67p. 16336 Helmut Pottmann/Stefan Leopoldseder: Geometries for CAGD. In Farin/Hoschek/Kim 2002, 43-73. 16342 Helmut Pottmann/Stefan Leopoldseder: A concept of parametric surface fitting which avoids the parametrization problem. Computer Aided Geom. Design 20 (2003), 343-362. 16340 Helmut Pottmann/Martin Peternell/Bahram Ravani: An introduction to line geometry with applications. Computer Aided Design 31 (1999), 3-16. 16644 Helmut Pottmann/Johannes Wallner: Computational line geometry. Springer 2001, 560p. Eur 87. 18076 Helmut Pottmann/.../Wen-ping Wang: Industrial geometry - recent advances and applications to CAD. Internet 2005, 28p. R. Riesenfeld: Homogeneous coordinates and projective planes in computer graphics. IEEE Computer Graph. Appl. 1 (1981), 50-55. 4744 J.-J. Risler: Mathematical methods for CAD. Cambridge UP 1992. Alfred Schmitt/Oliver Deussen/Marion Kreeb: Einführung in graphisch- geometrische Algorithmen. Teubner 1996, 200p. 3-519-02147-1. DM 40. H. Schwartze/I. Schuetze: Konstruktive Raumgeometrie mit Computerhilfe. Spektrum 1995, 300p. DM 48. J. Stolfi: Primitives for computational geometry. Digital Systems Research Center Report Nr. 36, Palo Alto (CA), 1989. J. Stolfi: Oriented projective geometry. A framework for geometric computations. Academic Press 1991, 240p. $40. 5766 Walter Taylor: The geometry of computer graphics. Wadsworth 1992, 450p. 0-534-17100-1. $ 59. A very nice book for mathematics undergraduates. 22151 Thorsten Theobald: New algebraic methods in computational geometry. Hab. TU München 2003, 180p. 3642 Maria Cristina Trevissoi: Grafica al calcolatore col Macintosh. Tesi, Ferrara 1992. John Vince: Geometric algebra for computer graphics. Springer 2008, 260p. Eur 78. 17852 Rudolf Winkel: Generalized Bernstein polynomials and Bezier curves - an application of umbral calculus to computer aided geometric design. Adv. Appl. Math. 27 (2001), 51-81.