Computer Graphics and Geometric Modeling

From the Publisher: This is a book for those interested in understanding how graphics programs work and how present-day computer graphics can generate realistic-looking curves, surfaces, and solid objects. The book emphasizes the mathematics behind computer graphics, and most of the required mathematics is included in an appendix. With its numerous illustrative examples and (solved) exercises, the book makes a splendid text for a two-semester course in computer graphics for advanced undergraduate or graduate students. It also serves as a fine reference for professionals in the computer graphics field.

[1]  Malcolm A. Sabin,et al.  Behaviour of recursive division surfaces near extraordinary points , 1998 .

[2]  Scott Whitman.  Multiprocessor methods for computer graphics rendering , 1992 .

[3]  Harold J. McWhinnie,et al.  The Divine Proportion: A Study in Mathematical Beauty , 1972 .

[4]  Ronald A. DeVore,et al.  Image compression through wavelet transform coding , 1992, IEEE Trans. Inf. Theory.

[5]  Jeffrey Scott Vitter,et al.  Error modeling for hierarchical lossless image compression , 1992, Data Compression Conference, 1992..

[6]  Roman Kuchkuda,et al.  An introduction to ray tracing , 1993, Comput. Graph..

[7]  Franklin C. Crow,et al.  The Origins of the Teapot , 1987, IEEE Computer Graphics and Applications.

[8]  Hartmut PRAUTZSCH.  A short proof of the Oslo algorithm , 1984, Comput. Aided Geom. Des..

[9]  Leonardo Felician,et al.  P-Compressed Quadtrees for Image Storing , 1988, Comput. J..

[10]  F. A. Seiler,et al.  Numerical Recipes in C: The Art of Scientific Computing , 1989 .

[11]  F. R. A. Hopgood.  Introduction to the Graphical Kernel System (GKS) , 1983 .

[12]  John D. Hobby,et al.  Smooth, easy to compute interpolating splines , 1986, Discret. Comput. Geom..

[13]  Ivan Herman,et al.  Computer Graphics and Mathematics , 1992, Focus on Computer Graphics.

[14]  穂坂 衛,et al.  Modeling of curves and surfaces in CAD/CAM , 1992 .

[15]  Jack E. Volder.  The CORDIC Trigonometric Computing Technique , 1959, IRE Trans. Electron. Comput..

[16]  Stuart A. Green,et al.  Parallel processing for computer graphics , 1991, Research monographs in parallel and distributed computing.

[17]  Paul G. Roetling.  Halftone method with edge enhancement and Moiré suppression , 1976 .

[18]  Thomas Banchoff.  Beyond the Third Dimension: Geometry, Computer Graphics, and Higher Dimensions , 1990 .

[19]  Hanan Samet,et al.  Applications of spatial data structures , 1989 .

[20]  S. A. Coons.  SURFACES FOR COMPUTER-AIDED DESIGN OF SPACE FORMS , 1967 .

[21]  Jeffrey Scott Vitter,et al.  Fast progressive lossless image compression , 1994, Electronic Imaging.

[22]  John Lewell.  Computer graphics: A survey of current techniques and applications , 1985 .

[23]  Leon M. Billow,et al.  Descriptive Geometry and Geometric Modeling: A Basis for Design , 1988 .

[24]  Michael E. Mortenson,et al.  Computer graphics - an introduction to the mathematics and geometry , 1988 .

[25]  Dani Lischinski.  Converting Rectangular Patches into Bézier Triangles , 1994, Graphics Gems.

[26]  Christoph M. Hoffmann,et al.  Geometric and Solid Modeling: An Introduction , 1989 .

[27]  Toby Howard,et al.  A practical introduction to PHIGS and PHIGS Plus , 1990 .

[28]  Dani Lischinski.  CONVERTING BÉZIER TRIANGLES INTO RECTANGULAR PATCHES: (page 256) , 1992 .

[29]  David Salomon,et al.  Data Compression: The Complete Reference , 2006 .

[30]  C. D. Boor,et al.  On Calculating B-splines , 1972 .

[31]  Fujio Yamaguchi,et al.  Curves and Surfaces in Computer Aided Geometric Design , 1988, Springer Berlin Heidelberg.

[32]  Ronald Curtis Barrett,et al.  A cell organized raster display for line drawings , 1974, CACM.

[33]  Theoharis Theoharis.  Algorithms for Parallel Polygon Rendering , 1989, Lecture Notes in Computer Science.

[34]  Ivan Herman.  The Use of Projective Geometry in Computer Graphics , 1992, Lecture Notes in Computer Science.

[35]  Richard H. Bartels,et al.  Interpolating splines with local tension, continuity, and bias control , 1984, SIGGRAPH.

[36]  S. Golomb.  Run-length encodings. , 1966 .

[37]  Hanan Samet,et al.  The Design and Analysis of Spatial Data Structures , 1989 .

[38]  F. Thomas,et al.  Disney Animation: The Illusion of Life , 1981 .

[39]  Compcon,et al.  Tutorial and selected readings in interactive computer graphics , 1980 .

[40]  Michael A. Penna,et al.  Projective geometry and its applications to computer graphics , 1986 .

[41]  David F. Rogers,et al.  Procedural Elements for Computer Graphics , 1984 .

[42]  Eugene Fiume,et al.  The Mathematical Structure of Raster Graphics , 1989 .

[43]  Steven Skiena,et al.  The Algorithm Design Manual , 2020, Texts in Computer Science.

[44]  David A. Duce,et al.  A primer for PHIGS , 1991 .

[45]  Joseph O'Rourke,et al.  Computational Geometry in C. , 1995 .

[46]  Clark Kimberling,et al.  Central points and central lines in the plane of a triangle , 1994 .

[47]  Maureen C. Stone,et al.  Color gamut mapping and the printing of digital color images , 1988, TOGS.

[48]  Raymond Vachss,et al.  The Cordic Magnification Function , 1987, IEEE Micro.

[49]  Günter Enderle,et al.  Computer graphics programming: GKS, the graphics standard , 1984, Symbolic computation.

[50]  P.G. Howard,et al.  Fast and efficient lossless image compression , 1993, [Proceedings] DCC `93: Data Compression Conference.

[51]  Gerald Farin,et al.  Curves and surfaces for cagd , 1992 .

[52]  Tom Lyche,et al.  Discrete B-splines and subdivision techniques in computer-aided geometric design and computer graphics , 1980 .

[53]  John M. Snyder,et al.  Generative Modeling for Computer Graphics and Cad: Symbolic Shape Design Using Interval Analysis , 1992 .

[54]  A. De Carvalho Neves,et al.  An introduction to splines for use in computer graphics & geometric modeling: R.H. Bartels, J.C. Beatty & B.A. Barsky, Morgan Kaufmann Publishers. pp. 490, cloth binding. £29.95/$49.95. ISBN: 0 934613 27 3 , 1992 .

[55]  Robert Sedgewick,et al.  Algorithms in C - parts 1-4: fundamentals, data structures, sorting, searching (3. ed.) , 1997 .

[56]  J. Jarvis,et al.  A New Technique for Displaying Continuous Tone Images on a Bilevel Display , 1976, IEEE Trans. Commun..

[57]  Yehuda E. Kalay.  Graphic introduction to programming , 1987 .

[58]  J. Wheeler,et al.  Geons, Black Holes and Quantum Foam: A Life in Physics , 1998 .

[59]  Jens Gravesen.  The Length of Bézier Curves , 1995 .

[60]  D. H. Pritchard.  US Color Television Fundamentals-a Review , 1977 .

[61]  David F. Rogers,et al.  Mathematical elements for computer graphics , 1976 .

[62]  Donald E. Knuth,et al.  Digital halftones by dot diffusion , 1987, TOGS.

[63]  Alan W. Paeth,et al.  A fast algorithm for general raster rotation , 1986 .

[64]  J. R. Manning.  Continuity Conditions for Spline Curves , 1974, Comput. J..

[65]  George Merrill Chaikin,et al.  An algorithm for high-speed curve generation , 1974, Comput. Graph. Image Process..

[66]  Y. Kalay.  Modeling objects and environments , 1989 .

[67]  S. Walther.  A unified algorithm for elementary functions , 1899 .

[68]  R Langridge,et al.  Interactive three-dimensional computer graphics in molecular biology. , 1974, Federation proceedings.

[69]  A. Lindenmayer.  Mathematical models for cellular interactions in development. I. Filaments with one-sided inputs. , 1968, Journal of theoretical biology.

[70]  Bruce A. Artwick.  Applied concepts in microcomputer graphics , 1984 .

[71]  James F. Blinn.  How Many Ways Can You Draw a Circle? , 1987, IEEE Computer Graphics and Applications.

[72]  K. Sayood,et al.  A differential lossless image compression scheme , 1989, Proceedings of the 32nd Midwest Symposium on Circuits and Systems,.

[73]  Peter Elias,et al.  Universal codeword sets and representations of the integers , 1975, IEEE Trans. Inf. Theory.

[74]  H. Gouraud.  Continuous Shading of Curved Surfaces , 1971, IEEE Transactions on Computers.

[75]  Alan Watt,et al.  Advanced animation and rendering techniques - theory and practice , 1992 .

[76]  Tom Lyche,et al.  Algorithms for degree-raising of splines , 1985, TOGS.

[77]  John F. Jarvis,et al.  A survey of techniques for the display of continuous tone pictures on bilevel displays , 1976 .

[78]  Maureen Stone,et al.  Curve-fitting with piecewise parametric cubics , 1983, SIGGRAPH.

[79]  E. Catmull,et al.  Recursively generated B-spline surfaces on arbitrary topological meshes , 1978 .