Computer Aided Geometric Design, Volume 8

Volume 8, Number 1, February 1991

Yuan Cao, Xuan-ji Hua:
The convexity of quadratic parametic triangular Bernstein-Bézier surfaces. 1-6
Tamás Várady:
Overlap patches: a new scheme for interpolating curve networks with n-sided regions. 7-27
Rida T. Farouki:
On the stability of transformations between power and Bernstein polynomial forms. 29-36
Tim N. T. Goodman:
Inflections on curves in two and three dimensions. 37-50
Thomas Garrity, Joe D. Warren:
Geometric continuity. 51-65
S. Auerbach, Robert H. J. Gmelig Meyling, Marian Neamtu, Helmut Schaeben:
Approximation and geometric modeling with simplex B-splines associated with irregular triangles. 67-87
Ahmad H. Nasri:
Surface interpolation on irregular networks with normal conditions. 89-96

Thomas W. Sederberg, Tomoyuki Nishita:
Geometric hermite approximation of surface patch intersection curves. 97-114
Tim N. T. Goodman, H. B. Said:
Shape preserving properties of the generalised ball basis. 115-121
Barry Joe:
Construction of three-dimensional Delaunay triangulations using local transformations. 123-142
Michael A. Lachance, Arthur J. Schwartz:
Four point parabolic interpolation. 143-149
Rida T. Farouki, Takis Sakkalis:
Real rational curves are not `unit speed'. 151-157
Michael Kallay:
General b-spline hermite interpolation. 159-161
Dereck S. Meek, R. S. D. Thomas:
A guided clothoid spline. 163-174
Tim N. T. Goodman:
Convexity of Bézier nets on triangulations. 175-180

David P. Dobkin, Diane L. Souvaine:
Detecting the intersection of convex objects in the plane. 181-199
Xi-Quan Shi:
The singularity of Morgan-Scott triangulation. 201-206
John A. Gregory, Jianwei Zhou:
Convexity of Bézier nets on sub-triangles. 207-211
E. T. Y. Lee, Miriam L. Lucian:
Möbius reparametrizations of rational B-splines. 213-215
Leon A. Shirman, Carlo H. Séquin:
Local surface interpolation with Bézier patches: errata and improvements. 217-221
Louis J. Nachman:
A note on control polygons and derivatives. 223-225
Michael Goldapp:
Approximation of circular arcs by cubic polynomials. 227-238
J. L. Brown:
Vertex based data dependent triangulations. 239-251

Hartmut Prautzsch, Bruce R. Piper:
A fast algorithm to raise the degree of spline curves. 253-265
Biplab Sarkar, Chia-Hsiang Menq:
Parameter optimization in approximating curves and surfaces to measurement data. 267-290
Chengfu Yao, Jon G. Rokne:
An efficient algorithm for subdividing linear Coons surfaces. 291-303
Eugene L. Allgower, Stefan Gnutzmann:
Simplicial pivoting for mesh generation of implicity defined surfaces. 305-325
Raymond Balbes, Jerrold Siegel:
A robust method for calculating the simplicity and orientation of planar polygons. 327-335

Sankarappan Gopalsamy, Dilip Khandekar, Sudhir P. Mudur:
A new method of evaluating compact geometric bounds for use in subdivision algorithms. 337-356
T. W. Jensen, Carl S. Petersen, M. A. Watkins:
Practical curves and surfaces for a geometric modeler. 357-369
Paolo Costantini, Carla Manni:
A local scheme for bivariate co-monotone interpolation. 371-391
Hans Hagen, Georges-Pierre Bonneau:
Variational design of smooth rational Bézier curves. 393-399
Gregor Müllenheim:
On determining start points for a surface/surface intersection algorithm. 401-408
Günter Aumann:
Interpolation with developable Bézier patches. 409-420

Nickolas S. Sapidis, Renato Perucchio:
Delaunay triangulation of arbitrarily shaped planar domains. 421-437
Hans-Peter Seidel:
On Hermite interpolation with B-splines. 439-441
Tim N. T. Goodman:
Joining rational curves smoothly. 443-464
Tomas Sauer:
Multivariate Bernstein polynomials and convexity. 465-478
Charles K. Chui, Ming-Jun Lai:
Algorithms for generating B-nets and graphically displaying spline surfaces on three- and four-directional meshes. 479-493
Menno Kosters:
High-order implicit blending surfaces of low degree. 495-512
Ming-Jun Lai:
A characterization theorem of multivariate splines in blossoming form. 513-521