Fundamentals of interactive computer graphics
Fundamentals of interactive computer graphics
Constant-radius blending in surface modelling
Computer-Aided Design
ACM Transactions on Graphics (TOG)
ACM Transactions on Graphics (TOG) - Special issue on computer-aided design
A blending model for parametrically defined geometric objects
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
Algebraic surface design with Hermite interpolation
ACM Transactions on Graphics (TOG)
Fillet and surface intersections defined by rolling balls
Computer Aided Geometric Design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Hierarchical B-spline refinement
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Geometric modeling with splines: an introduction
Geometric modeling with splines: an introduction
Technical Section: Parameterised, constraint-based wrapping of freeform shapes
Computers and Graphics
A surface blending approach for displacement features on freeform surfaces
Computer-Aided Design
Proceedings of the 18th International Conference on 3D Web Technology
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The use of blending and filleting operations in solid modeling and computer-aided geometric design is well established. The question of filling a gap between two (or more) surface boundaries or rounding a sharp edge has been extensively investigated. The vast majority of the prior work on blending and filleting concentrated on a wide variety of fitting schemes as well as attempts to establish and guarantee better continuity conditions. This work extends the notion of filleting and blending modeling tools and elevates them into shaping operations that are either functional or ornamental in nature. The extended shaping operations can be conducted between two boundaries of two adjacent surfaces, much like traditional blending or filleting methods. Furthermore, the presented extended forms can also be applied to the interior of a single surface, guided by arbitrary parametric curves in the domain of the patch.