Bezier Curves

         Search Term:  Bezier Curves
                                                                                                                                                           
  
 #1:
         Dieter Lasser. Two Remarks on Tau-Splines, ACM Transactions on Graphics, 9(2),  pp. 198-211 (April 1990). ISSN 0730-0301.

         Keyword(s)
         bezier curves, bezier representations, b-spline curves, convex hull property, geometric continuity, nu-splines, positivity, tau-splines, variation-diminishing property

         Copyright
         Copyright © 1990 Association for Computing Machinery

         Abstract
         Special issue on Computer-Aided design -- Part III 

         Suggested/Internal Citation Key
         Lasser:1990:TRO
                                                                                                                                                           
  
 #2:
         Alain Fournier and Brian A. Barsky. Geometric continuity with interpolating Bezier curves, Graphics Interface '85,  pp. 337-341 (May 1985).

         Suggested/Internal Citation Key
         Fournier:1985:GCW
                                                                                                                                                           
  
 #3:
         K. K. Gorowara. Representation of Two Bézier Cubic Curves, Proceedings of the IEEE 1986 National Aerospace and Electronics Conference -- NAECON 1986, 3 (),  pp.
         733-734 (1986). IEEE, New York, NY.

         Keyword(s)
         curve fitting, bezier curves

         Suggested/Internal Citation Key
         Gorowara:1986:ROT
                                                                                                                                                           
  
 #4:
         Arie Kaufman. Efficient Algorithms for 3D Scan-Conversion of Parametric Curves, Surfaces, and Volumes, Computer Graphics (Proceedings of SIGGRAPH 87), 21 (4),  pp.
         171-179 (July 1987, Anaheim, California). Edited by Maureen C. Stone.

         Keyword(s)
         bezier curves, bezier surfaces, bezier volumes, cubic frame buffer, three-dimensional scan conversion, voxel

         Copyright
         Copyright © 1987 Association for Computing Machinery

         Suggested/Internal Citation Key
         Kaufman:1987:EAF
                                                                                                                                                           
  
 #5:
         Michel Gangnet and Jean-Claude Hervé and Thierry Pudet and Jean-Manuel Van Thong. Incremental Computation of Planar Maps, Computer Graphics (Proceedings of SIGGRAPH
         89), 23 (3),  pp. 345-354 (July 1989, Boston, Massachusetts). Edited by Jeffrey Lane.

         Keyword(s)
         bezier curves, forward differences, curve intersectioni, planar maps, map sketching

         Copyright
         Copyright © 1989 Association for Computing Machinery

         Suggested/Internal Citation Key
         Gangnet:1989:ICO
                                                                                                                                                           
  
 #6:
         R. Wielinga. Constrained Interpolation using Bezier Curves as a New Tool in Computer Aided Geometric Design, Computer Aided Geometric Design,  pp.
         153-172 (1974). Academic Press. Edited by R. Barnhill and R. Riesenfeld.

         Suggested/Internal Citation Key
         Wielinga:1974:CIU
                                                                                                                                                           
  
 #7:
         Atsushi Yamada and Fujio Yamaguchi. Homogeneous bounding boxes as tools for intersection algorithms of rational bezier curves and surfaces, The Visual Computer, 12(4),  pp.
         202-214 (1996). Springer-Verlag. ISSN 0178-2789.

         Keyword(s)
         CAD/CAM, computer graphics, rational Bézier curves and surfaces, intersection detection, projective spaces

         Abstract
         In the divide-and-conquer algorithm for detecting intersections of parametric rational Bézier curves (surfaces), we use bounding boxes in recursive rough checks. In this paper, we
         replace the conventional bounding box with a homogeneous bounding box, which is projectively defined. We propose a new rough check algorithm based on it. One characteristic of
         the homogeneous bounding box is that it contains a rational Bézier curve (surface) with weights of mixed signs. This replacement of the conventional bounding box by the
         homogeneous one does not increase the computation time. 

         Suggested/Internal Citation Key
         Yamada:1996:HBB