Polyhedral subdivision methods for free-form surfaces
ACM Transactions on Graphics (TOG)
Practical curves and surfaces for a geometric modeler
Computer Aided Geometric Design
Modeling surfaces of arbitrary topology using manifolds
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Triangular NURBS and their dynamic generalizations
Computer Aided Geometric Design
Ensuring compatibility of G2-continuous surface patches around a nodepoint
Computer Aided Geometric Design - Special issue: in memory of John Gregory
Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
A process for surface fairing in irregular meshes
Computer Aided Geometric Design - Pierre Bézier
ACM SIGGRAPH 2003 Papers
NURBS with extraordinary points: high-degree, non-uniform, rational subdivision schemes
ACM SIGGRAPH 2009 papers
Transfinite surface interpolation over irregular n-sided domains
Computer-Aided Design
Constrained design of simple ship hulls with B-spline surfaces
Computer-Aided Design
Challenges in computer applications for ship and floating structure design and analysis
Computer-Aided Design
Constructing G1 Bézier surfaces over a boundary curve network with T-junctions
Computer-Aided Design
Beyond Catmull–Clark? A Survey of Advances in Subdivision Surface Methods
Computer Graphics Forum
Spline surfaces of arbitrary topology with continuous curvature and optimized shape
Computer-Aided Design
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In a recent special issue on ship design of this Journal the applicability of NURBS surfaces for ship hull representation was commented upon, as part of a review of challenges. The authors rightfully point out that NURBS do have their problems when applied to ship hull modelling. The review mentions T-splines as a promising solution, and concludes that the development of applications that address the NURBS limitations remains a challenge. However, just lifting out T-splines as the only solution can be considered to be a bit meagre, because many more alternatives have been proposed in the literature over the years. In addition, applications for ship design that overcome the limitations of NURBS surfaces do exist and are being applied in the maritime industry. As an extension to the special issue paper, in this short technical note the NURBS deficiencies are put into a context, and other potential solutions besides T-splines are summarized. It is illustrated that a viable alternative is offered by a hybrid representation method, comprising elements of a solid model and transfinite interpolation of an irregular network of curves, combined with curve fairing functionality. Because no single method is superb, suggestions for further research are formulated at the end of this note.