|
| This Article | ||
| ||
| Share | ||
| Bibliographic References | ||
| Add to: | ||
 Digg  Furl  Spurl  Blink  Simpy  Google  Del.icio.us  Y!MyWeb | ||
| Search | ||
| ||
| ASCII Text | x | ||
| Xiangjiu Che, Dayou Liu, Zhengxuan Wang, "The Constraint Elevation for Parametric Continuity Order of NURBS Curve and Surface," Ninth International Conference on Computer Aided Design and Computer Graphics (CAD-CG'05), pp. 93-98, Ninth International Conference on Computer Aided Design and Computer Graphics (CAD-CG'05), 2005. | |||
| BibTex | x | ||
| @article{ 10.1109/CAD-CG.2005.82, author = {Xiangjiu Che and Dayou Liu and Zhengxuan Wang}, title = {The Constraint Elevation for Parametric Continuity Order of NURBS Curve and Surface}, journal ={Ninth International Conference on Computer Aided Design and Computer Graphics (CAD-CG'05)}, volume = {0}, year = {2005}, isbn = {0-7695-2473-7}, pages = {93-98}, doi = {http://doi.ieeecomputersociety.org/10.1109/CAD-CG.2005.82}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - CONF JO - Ninth International Conference on Computer Aided Design and Computer Graphics (CAD-CG'05) TI - The Constraint Elevation for Parametric Continuity Order of NURBS Curve and Surface SN - 0-7695-2473-7 SP93 EP98 A1 - Xiangjiu Che, A1 - Dayou Liu, A1 - Zhengxuan Wang, PY - 2005 KW - null VL - 0 JA - Ninth International Conference on Computer Aided Design and Computer Graphics (CAD-CG'05) ER - | |||
For the NURBS curve that hold the arbitrary degrees and generally structured knots, under the assumption of unchanging the knot vector and the degree of NURBS curve, we present the constraint conditions for elevating the parametric continuity order of NURBS curve at the interior knots by modifying their control points and weights. Meanwhile, we obtain the freedom degree of the control points and the weights when the parametric continuity order of NURBS curve elevates by one.
Furthermore, we obtain the conditions for elevating the parametric continuity order of NURBS surface along its iso-parametric line by modifying their control points and weights. Meanwhile, the freedom degree of the control points and the weights when the parametric continuity order of NURBS surface elevates by one is presented at the end.