An arbitrary mesh network scheme using rational splines
Mathematical methods in computer aided geometric design II
The NURBS book
HoloSketch: a virtual reality sketching/animation tool
ACM Transactions on Computer-Human Interaction (TOCHI) - Special issue on virtual reality software and technology
Surface drawing: creating organic 3D shapes with the hand and tangible tools
Proceedings of the SIGCHI Conference on Human Factors in Computing Systems
CAD/Cam Theory and Practice
3-Draw: A Tool for Designing 3D Shapes
IEEE Computer Graphics and Applications
A Constraint-Based Method for Sculpting Free-Form Surfaces
Geometric Modelling
Surface construction by fitting unorganized curves
Graphical Models
A novel form design and CAD modelling approach
Computers in Industry
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This paper presents a novel surface modelling scheme to construct a freeform surface progressively from unorganised curves representing the boundary and interior characteristic curves. The approach can construct a base surface model from four ordinary or composite boundary curves and support incremental surface updating from interior characteristic curves, some of which may not be on the final surface. The base surface is first constructed as a regular Coons surface and upon receiving an interior curve sketch, it is updated. With this progressive modelling scheme, a final surface with multiple sub-surfaces can be obtained from a set of unorganised curves and transferred to commercial surface modelling software for detailed modification. The approach has been tested with examples based on 3D motion sketches; it is capable of dealing with unorganised design curves for surface modelling in conceptual design. Its limitations have been discussed.