G1 continuity conditions of adjacent NURBS surfaces

Computer Aided Geometric Design

Volumn 22, Issue 4, 2005, Pages 285-298

  Che, Xiangjiu ^a   Liang, Xuezhang ^a   Li, Qiang ^a  

^a JILIN UNIVERSITY   (China)

Author keywords

G1 continuity; Knot removal; NURBS surface; Piecewise B zier curve; Piecewise polynomial function; Uniform continuity conditions

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; MATHEMATICAL MODELS; PIECEWISE LINEAR TECHNIQUES; POLYNOMIALS; PROBLEM SOLVING;

G1 CONTINUITY; KNOT REMOVAL; NURBS SURFACES; PIECEWISE BÉZIER CURVES; PIECEWISE POLYNOMIAL FUNCTIONS; UNIFORM CONTINUITY CONDITIONS;

COMPUTER AIDED DESIGN;

EID: 16644398697     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cagd.2005.01.001     Document Type: Article

References (11)

1. X. Che, and X. Liang G 1 continuity conditions of B-spline surfaces Northeastern Math. J. 18 2002 343 352
2. X. Che, and X. Liang G 2 continuity conditions between two patches of adjacent NURBS surfaces J. JiLin University 40 2002 19 23
3. W. Du, and F. Schmitt On the G 1 continuity of piecewise Bézier surfaces: a review with new results Computer-Aided Design 22 1990 556 573
4. D. Liu G C 1 continuity conditions between two adjacent rational Bézier surface patches Computer Aided Geometric Design 7 1990 151 163
5. D. Liu, and J. Hoschek G C 1 continuity conditions between adjacent rectangular and triangular Bézier surface patches Computer-Aided Design 21 1989 194 200
6. M. Milroy, C. Bradley, and G. Vicker G 1 continuity of B-spline surface patches in reverse engineering Computer-Aided Design 27 1995 471 478
7. L. Piegl, and W. Tiller The NURBS Book second ed 1997 Springer-Verlag Berlin
8. X. Shi, P. Yu, and T. Wang G 1 Continuous conditions of biquartic B-spline surfaces J. Comput. Appl. Math. 15 2002 251 262
9. X. Shi, T. Wang, P. Wu, and F. Liu Reconstruction of convergent G 1 smooth B-spline surfaces Computer Aided Geometric Design 21 2004 893 913
10. X. Ye, Y. Liang, and H. Nowacki Geometric continuity between adjacent Bézier patches and their constructions Computer Aided Geometric Design 13 1996 521 548
11. J. Zheng, G. Wang, and Y. Liang G C n continuity conditions for adjacent national parametric surfaces Computer Aided Geometric Design 12 1995 111 129