Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
Design of solids with free-form surfaces
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
CSG set-theoretic solid modelling and NC machining of blend surfaces
SCG '86 Proceedings of the second annual symposium on Computational geometry
Free-form deformation of solid geometric models
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Direct least-squares fitting of algebraic surfaces
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Blending quadric surfaces with quadric and cubic surfaces
SCG '87 Proceedings of the third annual symposium on Computational geometry
Hermite interpolation of rational space curves using real algebraic surfaces
SCG '89 Proceedings of the fifth annual symposium on Computational geometry
Scan line display of algebraic surfaces
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Guaranteed ray intersections with implicit surfaces
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
ACM Transactions on Graphics (TOG) - Special issue on computer-aided design
The displacement method for implicit blending surfaces in solid models
ACM Transactions on Graphics (TOG) - Special issue on computer-aided design
Algebraic surface design with Hermite interpolation
ACM Transactions on Graphics (TOG)
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
A parametric surface blending method for complex engineering objects
SMA '93 Proceedings on the second ACM symposium on Solid modeling and applications
Implicit reconstruction of solids from cloud point sets
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
Architectural Issues in Solid Modelers
IEEE Computer Graphics and Applications
G2 Blending of Corners with Piecewise Algebraic Surfaces
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Bounded Blending for Function-Based Shape Modeling
IEEE Computer Graphics and Applications
Blending canal surfaces based on PH curves
Journal of Computer Science and Technology
Implicit curve and surface design using smooth unit step functions
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
G2 blending of corners by cubic algebraic splines
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Simultaneous blending of convex polyhedra by S32 algebraic splines
Computer-Aided Design
Geometric bone modeling: from macro to micro structures
Journal of Computer Science and Technology
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Most volume modelling systems are very limited in the complexity of the surfaces which they support. This is satisfactory for basic models of most mechanical components, since the functional surfaces are not usually complex. However, there are often blends between simple base surfaces. This paper presents a technique appropriate for blend definition and profile control. A discussion of blend conics is used to develop analogous surfaces for use in typical volume modelling systems. These surfaces are then used to set theoretically define bounded volumes for fillets and chamfers. Empirical results show that the method described suits many engineering applications.