Polyhedral subdivision methods for free-form surfaces
ACM Transactions on Graphics (TOG)
G1 interpolation of generally unrestricted cubic Bézier curves
Computer Aided Geometric Design - Special issue: Topics in CAGD
Conditions for tangent plane continuity over recursively generated B-spline surfaces
ACM Transactions on Graphics (TOG)
Design of an n-sided surface patch from Hermite boundary data
Computer Aided Geometric Design
A multisided generalization of Bézier surfaces
ACM Transactions on Graphics (TOG)
Modelling rolling ball blends for computer aided geometric design
Computer Aided Geometric Design
On the G1 continuity of piecewise Be´zier surfaces: a review with new results
Computer-Aided Design - Special Issue: Be´zier Techniques
Surface interpolation on irregular networks with normal conditions
Computer Aided Geometric Design
Filling polygonal holes with bicubic patches
Computer Aided Geometric Design
Piecewise smooth surface reconstruction
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Non-uniform recursive subdivision surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Combined subdivision schemes for the design of surfaces satisfying boundary conditions
Computer Aided Geometric Design
Techniques for interactive design using the PDE method
ACM Transactions on Graphics (TOG)
Piecewise smooth subdivision surfaces with normal control
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Dynamic Catmull-Clark Subdivision Surfaces
IEEE Transactions on Visualization and Computer Graphics
Geometric Modelling, Dagstuhl, Germany, 1996
AHT Bézier curves and NUAHT B-spline curves
Journal of Computer Science and Technology
Gn blending multiple surfaces in polar coordinates
Computer-Aided Design
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In this paper the problem of blending parametric surfaces using subdivision patches is discussed. A new approach, named removing-boundary, is presented to generate piecewise-smooth subdivision surfaces through discarding the outmost quadrilaterals of the open meshes derived by each subdivision step. Then the approach is employed both to blend parametric bicubic B-spline surfaces and to fill n-sided holes. It is easy to produce piecewise-smooth subdivision surfaces with both convex and concave corners on the boundary, and limit surfaces are guaranteed to be C2 continuous on the boundaries except for a few singular points by the removing-boundary approach. Thus the blending method is very efficient and the blending surface generated is of good effect.