Development and Implementation of NURBS Models of Quadratic Curves and Surfaces

G. Petkov, Emiliyan. "Development and Implementation of NURBS Models of Quadratic Curves and Surfaces." Serdica Journal of Computing 3.4 (2009): 425-448. <http://eudml.org/doc/11369>.

@article{G2009,
abstract = {This article goes into the development of NURBS models of quadratic curves and surfaces. Curves and surfaces which could be represented by one general equation (one for the curves and one for the surfaces) are addressed. The research examines the curves: ellipse, parabola and hyperbola, the surfaces: ellipsoid, paraboloid, hyperboloid, double hyperboloid, hyperbolic paraboloid and cone, and the cylinders: elliptic, parabolic and hyperbolic. Many real objects which have to be modeled in 3D applications possess specific features. Because of this these geometric objects have been chosen. Using the NURBS models presented here, specialized software modules (plug-ins) have been developed for a 3D graphic system. An analysis of their implementation and the primitives they create has been performed.},
author = {G. Petkov, Emiliyan},
journal = {Serdica Journal of Computing},
keywords = {Computer Graphics; Geometric Modeling; 3D Graphic Systems; Curves; Surfaces; NURBS; graphical examples; nonuniform rational B-spline (NURBS); quadratic curves and surfaces; ellipse, parabola; hyperbola; ellipsoid; paraboloid; hyperboloid; double hyperboloid; hyperbolic paraboloid; cone; cylinders; 3D graphic system},
language = {eng},
number = {4},
pages = {425-448},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Development and Implementation of NURBS Models of Quadratic Curves and Surfaces},
url = {http://eudml.org/doc/11369},
volume = {3},
year = {2009},
}

TY - JOUR
AU - G. Petkov, Emiliyan
TI - Development and Implementation of NURBS Models of Quadratic Curves and Surfaces
JO - Serdica Journal of Computing
PY - 2009
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 3
IS - 4
SP - 425
EP - 448
AB - This article goes into the development of NURBS models of quadratic curves and surfaces. Curves and surfaces which could be represented by one general equation (one for the curves and one for the surfaces) are addressed. The research examines the curves: ellipse, parabola and hyperbola, the surfaces: ellipsoid, paraboloid, hyperboloid, double hyperboloid, hyperbolic paraboloid and cone, and the cylinders: elliptic, parabolic and hyperbolic. Many real objects which have to be modeled in 3D applications possess specific features. Because of this these geometric objects have been chosen. Using the NURBS models presented here, specialized software modules (plug-ins) have been developed for a 3D graphic system. An analysis of their implementation and the primitives they create has been performed.
LA - eng
KW - Computer Graphics; Geometric Modeling; 3D Graphic Systems; Curves; Surfaces; NURBS; graphical examples; nonuniform rational B-spline (NURBS); quadratic curves and surfaces; ellipse, parabola; hyperbola; ellipsoid; paraboloid; hyperboloid; double hyperboloid; hyperbolic paraboloid; cone; cylinders; 3D graphic system
UR - http://eudml.org/doc/11369
ER -