Computer Aided Geometric Design - Special issue: Topics in CAGD
Intrinsic parametrization for approximation
Computer Aided Geometric Design
Mathematical elements for computer graphics (2nd ed.)
Mathematical elements for computer graphics (2nd ed.)
Choosing nodes in parametric curve interpolation
Computer-Aided Design
Automatic fairing algorithm for B-spline curves
Computer-Aided Design
Surface design with minimum energy networks
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
The NURBS book
Knot removal for B-spline curves
Computer Aided Geometric Design
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
An improved Hoschek intrinsic parametrization
Computer Aided Geometric Design
Increasing the smoothness of bicubic spline surfaces
Computer Aided Geometric Design
Springback adjustment for multi-point forming of thick plates in shipbuilding
Computer-Aided Design
Programmed design of ship forms
Computer-Aided Design
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When defining a ship hull surface, the main objective is to obtain a faired surface or surfaces that contain some specific points of the hull, that have been selected in the design process and give the ship its hydrodynamic, stability and other properties. So, the hull surface should be a compromise between fairness and precision, and this is not and easy task. In this paper, authors present a thorough procedure for automatic modelling with a fair NURBS surface, having lists of points on the stations of the vessel as initial data. The construction of spline curves, and their application in the definition of ship lines is reviewed. Approximation of spline curves fitting the data on the stations is made, with special emphasis on the choice of parametrization, which is relevant to increase the accuracy of the splines. NURBS surfaces modelling the hull of the vessel are constructed and the fairing process adapted to maintain certain ship characteristics is described.