An introduction to splines for use in computer graphics & geometric modeling
An introduction to splines for use in computer graphics & geometric modeling
The NURBS book
Surface fitting with hierarchical splines
ACM Transactions on Graphics (TOG)
Localized-hierarchy surface splines (LeSS)
I3D '99 Proceedings of the 1999 symposium on Interactive 3D graphics
Hierarchical B-spline refinement
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
Hierarchical triangular splines
ACM Transactions on Graphics (TOG)
Smooth Adaptive Fitting of 3D Models Using Hierarchical Triangular Splines
SMI '05 Proceedings of the International Conference on Shape Modeling and Applications 2005
Technical Section: Multiresolution for curves and surfaces based on constraining wavelets
Computers and Graphics
Freeform-based form feature modeling using a hierarchical & multi-resolution NURBS method
Proceedings of the 9th ACM SIGGRAPH Conference on Virtual-Reality Continuum and its Applications in Industry
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In a three dimensional (3D) environment, having the capability of local shape refinement and modification is highly desired for interactive free-form shape design. The introduction of hierarchical B-spline has provided a nice mechanism to control the influence of refinement to the locality for tensor-product B-spline surfaces. This paper extends the idea of hierarchical B-splines to non-uniform rational B-spline (NURBS) surface and a generalized hierarchical NURBS (H-NURBS) is proposed. Based on the modification of control points or weights of the H-NURBS surface, we can paste a NURBS surface onto an existing H-NURBS surface. Two approaches with different mechanisms are proposed: the base plus detail mechanism and the replacement mechanism. Different kinds of interactive devices like mouse, stylus and glove can be used to manipulate the H-NURBS.