Computer-Aided Design
Piecewise quadric blending of implicity defined surfaces
Computer Aided Geometric Design
The geometry of projective blending surfaces
Artificial Intelligence - Special issue on geometric reasoning
ACM Transactions on Graphics (TOG) - Special issue on computer-aided design
Computer Aided Geometric Design
High-order implicit blending surfaces of low degree
Computer Aided Geometric Design
Higher-order interpolation and least-squares approximation using implicit algebraic surfaces
ACM Transactions on Graphics (TOG)
Computer Aided Geometric Design
Quartic supercyclides I: basic theory
Computer Aided Geometric Design
Blend surfaces for set theoretic volume modelling systems
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
On blending of several quadratic algebraic surfaces
Computer Aided Geometric Design
Implicit Gn-blending of vertices
Computer Aided Geometric Design
Blending quadric surfaces with piecewise algebraic surfaces
Graphical Models
Blending canal surfaces based on PH curves
Journal of Computer Science and Technology
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
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In this paper, we present a construction approach to blend the corner of three coordinate planes with G2 continuous piecewise algebraic surfaces. For each pair of twocoordinate planes, an algebraic surface patch (which is defined in a tetrahedron or a prism) is used to blend the two coordinate planes, and then a center patch is constructed to blend the three algebraic surface patches. The defining region and the shape of the blending surface can be easily adjusted with a few free parameters. Examples are provided to illustrate the blending method. The result can be combined with potential method to blend three arbitrary algebraic surfaces intersecting transversally at a common point.