Computer-Aided Geometric Design

[1]  W. Boehm.  Inserting New Knots into B-spline Curves , 1980 .

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

[3]  Riesenfeld,et al.  Homogeneous Coordinates and Projective Planes in Computer Graphics , 1981, IEEE Computer Graphics and Applications.

[4]  Martti Mäntylä,et al.  Boolean operations of 2-manifolds through vertex neighborhood classification , 1986, TOGS.

[5]  M. Sabin,et al.  Behaviour of recursive division surfaces near extraordinary points , 1978 .

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

[7]  Fujio Yamaguchi.  A unified approach to interference problems using a triangle processor , 1985, SIGGRAPH '85.

[8]  Helmut Pottmann,et al.  An introduction to line geometry with applications , 1999, Comput. Aided Des..

[9]  Mantyla,et al.  GWB: A Solid Modeler with Euler Operators , 1982, IEEE Computer Graphics and Applications.

[10]  Fujio Yamaguchi.  A shift of playground for geometric processing from euclidean to homogeneous , 1998, The Visual Computer.

[11]  B. Donald,et al.  Symbolic and Numerical Computation for Artificial Intelligence , 1997 .

[12]  Stephen Barr,et al.  Experiments in topology , 1964 .

[13]  James C. Miller,et al.  Computer graphics principles and practice, second edition , 1992, Comput. Graph..

[14]  Robert F. Sproull,et al.  Principles of interactive computer graphics (2nd ed.) , 1979 .

[15]  Fujio Yamaguchi,et al.  The Homogeneous Representation of Quadratic Rational Bezier Curve and NURBS. , 1997 .

[16]  Richard R. Patterson,et al.  Projective transformations of the parameter of a Bernstein-Bézier curve , 1985, TOGS.

[17]  Fujio Yamaguchi,et al.  A New Paradigm for Geometric Processing , 1993, Comput. Graph. Forum.

[18]  Gerald Farin,et al.  Curves and surfaces for computer aided geometric design , 1990 .

[19]  James F. Blinn.  A homogeneous formulation for lines in 3 space , 1977, SIGGRAPH '77.

[20]  T. DeRose,et al.  A coordinate-free approach to geometric programming , 1989 .

[21]  Fujio Yamaguchi,et al.  The Existence Evaluation of Intersection Points in Curve/Surface Intersection using Multivariate Sturm Sequences. , 2001 .

[22]  R. Riesenfeld.  On Chaikin's algorithm , 1975 .

[23]  James F. Blinn,et al.  Clipping using homogeneous coordinates , 1978, SIGGRAPH.

[24]  Ron Goldman,et al.  Illicit expressions in vector algebra , 1985, TOGS.

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

[26]  Yoshihiro Mizutani,et al.  Unified geometric modeling by non-manifold shell operation , 1993, Solid Modeling and Applications.

[27]  Bruce G. Baumgart,et al.  Geometric modeling for computer vision. , 1974 .

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

[29]  A. Robin Forrest,et al.  Curves and surfaces for computer-aided design , 1968 .

[30]  Richard Hacker,et al.  Certification of Algorithm 112: Position of point relative to polygon , 1962, Commun. ACM.

[31]  Fujio Yamaguchi,et al.  Some basic geometric test conditions in terms of Plücker coordinates and Plücker coefficients , 1997, The Visual Computer.

[32]  G. Farin.  NURB curves and surfaces: from projective geometry to practical use , 1995 .

[33]  Atsushi Yamada,et al.  A Geometric Newton Method for Interference Processing of Rational Curves and Surfaces in Homogeneous Space , 1994, IMA Conference on the Mathematics of Surfaces.

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

[35]  Chee-Keng Yap,et al.  Towards Exact Geometric Computation , 1997, Comput. Geom..

[36]  Fujio Yamaguchi,et al.  Projectively invariant intersection detections for solid modeling , 1994, TOGS.

[37]  Martti Mäntylä,et al.  Introduction to Solid Modeling , 1988 .

[38]  Ivan E. Sutherland,et al.  A clipping divider , 1899, AFIPS '68 (Fall, part I).

[39]  Ivan E. Sutherland,et al.  Reentrant polygon clipping , 1974, Commun. ACM.

[40]  Dinesh Manocha,et al.  Efficient B-rep Generation of Low-Degree Sculptured Solids Using Exact Arithmetic , 1996 .

[41]  A. R. Forrest.  Computational Geometry in Practice , 1991 .

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