Computer-Aided Design
On algebraic surfaces meeting with geometric continuity
On algebraic surfaces meeting with geometric continuity
Adaptive subdivision algorithms for a set of Bezier triangles
Computer-Aided Design
Surface algorithms using bounds on derivatives
Computer Aided Geometric Design
Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
Geometric continuity: a parametrization independent measure of continuity for computer aided geometric design (curves, surfaces, splines)
A blending model for parametrically defined geometric objects
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
Blending parametric objects by implicit techniques
SMA '93 Proceedings on the second ACM symposium on Solid modeling and applications
A parametric surface blending method for complex engineering objects
SMA '93 Proceedings on the second ACM symposium on Solid modeling and applications
Visual interfaces for solids modeling
Proceedings of the 8th annual ACM symposium on User interface and software technology
Blending, smoothing and interpolation of irregular meshes using N-sided Varady patches
Proceedings of the fifth ACM symposium on Solid modeling and applications
RSVP: A Geometric Toolkit for Controlled Repair of Solid Models
IEEE Transactions on Visualization and Computer Graphics
Corner Blending of Free-Form N-Sided Holes
IEEE Computer Graphics and Applications
Computational Methods for Geometric Processing. Applications to Industry
ICCS '01 Proceedings of the International Conference on Computational Sciences-Part I
Computing all parametric solutions for blending parametric surfaces
Journal of Symbolic Computation
Generalized filleting and blending operations toward functional and decorative applications
Graphical Models - Special issue on SMI 2003
Construction of flexible blending parametric surfaces via curves
Mathematics and Computers in Simulation
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A blending surface is a surface that smoothly connects two given surfaces along two arbitrary curves, one on each surface. This is particularly useful in the modeling operations of filleting a sharp edge between joining surfaces or connecting disjoint surfaces. In this paper we derive a new surface formulation for representing surfaces which are blends of parametric surfaces. The formulation has the advantage over the traditional rational polynomial approach in that point and normal values have no gaps between the blending surface and the base surfaces. Shape control parameters that control the cross-sectional shape of the blending surface are also available. In addition, the base surfaces are not restricted to any particular type of surface representation as long as they are parametrically defined and have a well-defined and continuous normal vector at each point. The scheme is extensible to higher orders of geometric continuity, although we concentrate on G1.