Degree elevation and developable Bézier surfaces

Computer Aided Geometric Design

Volumn 21, Issue 7, 2004, Pages 661-670

  Aumann, Günter ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

Algorithm of de Casteljau; B zier surface; Degree elevation; Developable surface

Indexed keywords

ALGORITHMS OF DE CASTELJAU; BEZIER SURFACES; DEGREE ELEVATION; DEVELOPABLE SURFACES;

ALGORITHMS; BOUNDARY CONDITIONS; COMBINATORIAL MATHEMATICS; INTERPOLATION; MATHEMATICAL OPERATORS; SET THEORY; SURFACE PHENOMENA;

COMPUTER AIDED DESIGN;

EID: 4344569609     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cagd.2004.04.007     Document Type: Article

References (11)

1. Aumann G. Interpolation with developable Bézier patches. Computer Aided Geometric Design. 8:1991;409-420.
2. Aumann G. Zum Entwurf abwickelbarer Bézier-Flächen. Proc. of the 3rd Congress of Geometry. Thessaloniki :1991.
3. Aumann G. A simple algorithm for designing developable Bézier surfaces. Computer Aided Geometric Design. 20:2003;601-619.
4. Chalfant J.S., Maekawa T. Design for manufacturing using B-spline developable surfaces. J. Ship Production. 42:(3):1998;207-215.
5. Chu C.-H., Séquin C.H. Developable Bézier patches: properties and design. Computer-Aided Design. 34:2002;511-527.
6. Frey, W.H., Bindschadler, D., 1993. Computer aided design of a class of developable Bézier surfaces. GM research publication R&D-8057.
7. Lang J., Röschel O. Developable (1,n) -Bézier surfaces. Computer Aided Geometric Design. 9:1992;291-298.
8. Maekawa T. Design and tessellation of B-spline developable surfaces. ASME Trans. J. Mechanical Design. 120:1998;453-461.
9. Mancewicz, M.J., Frey, W.H., 1992. Developable surfaces: properties, representations and methods of design. GM research publication GMR-7637.
10. Pottmann H., Farin G. Developable rational Bézier and B-spline surfaces. Computer Aided Geometric Design. 12:1995;513-531.
11. Pottmann H., Wallner J. Computational Line Geometry. 2001;Springer- Verlag, Heidelberg.