Computer Aided Geometric Design, Volume 14

Volume 14, Number 1, January 1997

Barbara Putz:
A note about: on normal curvature discontinuity between tangent plane continuous patches. 1-3
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J. M. Peña:
Shape preserving representations for trigonometric polynomial curves. 5-11
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Ahmad H. Nasri:
Curve interpolation in recursively generated B-spline surfaces over arbitrary topology. 13-30
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Jiwen Zhang:
Two different forms of C-B-splines. 31-41
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Dwight Diener:
Geometry dependence of the dimension of spaces of piecewise polynomials on rectilinear partitions. 43-50
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Seth Allen, Debasish Dutta:
Cyclides in pure blending I. 51-75
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Seth Allen, Debasish Dutta:
Cyclides in pure blending II. 77-102
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Volume 14, Number 2, February 1997

Giulio Casciola:
A recurrence relation for rational B-splines. 103-110
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Thomas A. Grandine, Frederick W. Klein IV:
A new approach to the surface intersection problem. 111-134
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Michael S. Floater:
An O(h_2n) Hermite approximation for conic sections. 135-151
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Rida T. Farouki:
Optimal parameterizations. 153-168
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Xiuzi Ye:
Curvature continuous interpolation of curve meshes. 169-190
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Ming-Jun Lai:
Geometric interpretation of smoothness conditions of triangular polynomial patches. 191-199
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Volume 14, Number 3, April 1997

Hartmut Prautzsch:
Freeform splines. 201-206
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Wenping Wang, Barry Joe:
Interpolation on quadric surfaces with rational quadratic spline curves. 207-230
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Michael S. Floater:
Parametrization and smooth approximation of surface triangulations. 231-250
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Qiaode Jeffrey Ge, L. Srinivasan, J. Rastegar:
Low-harmonic rational Bézier curves for trajectory generation of high-speed machinery. 251-271
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Guido Brunnett, Jörg Wendt:
A univariate method for plane elastic curves. 273-292
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Helmut Pottmann, Peter Paukowitsch:
Inflections of planar surface curves. 293-297
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Volume 14, Number 4, May 1997

Nickolas S. Sapidis, George D. Koras:
Visualization of curvature plots and evaluation of fairness: an analysis of the effect of 'scaling'. 299-311
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Jean-Charles Fiorot, Pierre Jeannin, I. Cattiaux-Huillard:
The circle as a smoothly joined BR-curve on [0, 1]. 313-323
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Hong Qin, Demetri Terzopoulos:
Triangular NURBS and their dynamic generalizations. 325-347
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Gudrun Albrecht, Wendelin L. F. Degen:
Construction of Bézier rectangles and triangles on the symmetric Dupin horn cyclide by means of inversion. 349-375
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Guo-Jin Wang, Thomas W. Sederberg, Takafumi Saito:
Partial derivatives of rational Bézier surfaces. 377-381
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Michael S. Floater:
A counterexample to a theorem about the convexity of Powell-Sabin elements. 383-385
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Falai Chen:
Bilinear precision of rational Bézier surfaces. 387-391
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Guido Walz:
Trigonometric Bézier and Stancu polynomials over intervals and triangles. 393-397
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Volume 14, Number 5, June 1997

William A. Denker, Gary J. Herron:
Generalizing rational degree elevation. 399-406
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Johannes Wallner, Helmut Pottmann:
Rational blending surfaces between quadrics. 407-419
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Marco Paluszny, Hartmut Prautzsch, Martin Schäfer:
A geometric look at corner cutting. 421-447
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Günter Aumann:
Corner cutting curves and a new characterization of Bézier and B-spline curves. 449-474
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Gerald Seemann:
Approximating a helix segment with a rational Bézier curve. 475-490
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Yong-Ming Li, Robert J. Cripps:
Identification of inflection points and cusps on rational curves. 491-497
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Volume 14, Number 6, August 1997

Hans J. Wolters, Gerald E. Farin:
Geometric curve approximation. 499-513
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Christoph Baumgarten, Gerald E. Farin:
Approximation of logarithmic spirals. 515-532
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A. A. Ligun, A. A. Shumeiko, S. P. Radzevitch, Erik D. Goodman:
Asymptotically optimal disposition of tangent points for approximation of smooth convex surfaces by polygonal functions. 533-546
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J. L. Brown:
Systems of coordinates associated with points scattered in the plane. 547-559
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Eng-Wee Chionh:
Concise parallel Dixon determinant. 561-570
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W. A. M. Othman, Ronald N. Goldman:
The dual basis functions for the generalized Ball basis of odd degree. 571-582
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Yifan Chen, Klaus-Peter Beier, Dimitris Papageorgiou:
Direct highlight line modification on nurbs surfaces. 583-601
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Volume 14, Number 7, September 1997

Thomas A. Foley, Hans J. Wolters:
The hybrid quintic Bézier tetrahedron. 603-618
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Dereck S. Meek, Desmond J. Walton:
Hermite interpolation with Tschirnhausen cubic spirals. 619-635
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Seth Allen, Debasish Dutta:
Supercyclides and blending. 637-651
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Chaoyang Liu, C. R. Traas:
On convexity of planar curves and its application in CAGD. 653-669
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Michael J. Pratt:
Quartic supercyclides I: Basic theory. 671-692
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Wayne Liu:
A simple, efficient degree raising algorithm for B-spline curves. 693-698
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Volume 14, Number 8, October 1997

Márta Szilvási-Nagy:
Shaping and fairing of tubular B-spline surfaces. 699-706
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Yves Nievergelt:
Fitting helices to data by total least squares. 707-718
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Holger Theisel:
Geometric conditions for G3 continuity of surfaces. 719-729
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Bert Jüttler:
Shape preserving least-squares approximation by polynomial parametric spline curves. 731-747
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H. Bohl, Ulrich Reif:
Degenerate Bézier patches with continuous curvature. 749-761
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Prosenjit Bose, Godfried T. Toussaint:
Characterizing and efficiently computing quadrangulations of planar point sets. 763-785
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Richard Tookey, Robert Cripps:
Improved surface bounds based on derivatives. 787-791
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Volume 14, Number 9, December 1997

C. Wayne Mastin:
Three-dimensional Bézier interpolation in solid modeling and grid generation. 797-805
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J. J. Zheng, A. A. Ball:
Control point surfaces over non-four-sided areas. 807-821
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Dinesh Manocha, Shankar Krishnan:
Algebraic pruning: a fast technique for curve and surface intersection. 823-845
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Ruud van Damme:
Bivariate hermite subdivision. 847-875
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Thomas G. Berry, Richard R. Patterson:
The uniqueness of Bézier control points. 877-879
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Regine Schickentanz:
Interpolating G1-splines with rational offsets. 881-885
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Bert Jüttler:
A vegetarian approach to optimal parameterizations. 887-890
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