Principles of CAD/CAM/CAE Systems
Principles of CAD/CAM/CAE Systems
Systems Approach to Computer-Integrated Design and Manufacturing
Systems Approach to Computer-Integrated Design and Manufacturing
CAD/Cam Theory and Practice
Stability Features for Free Form Surfaces
CAD Systems Development: Tools and Methods [Dagstuhl Seminar, 1995]
Transfinite B-spline Interpolation with Derivates
CAD Systems Development: Tools and Methods [Dagstuhl Seminar, 1995]
Design and Analysis of Experiments
Design and Analysis of Experiments
A multi-level filtering approach for fairing planar cubic B-spline curves
Computer Aided Geometric Design
On the degree elevation of B-spline curves and corner cutting
Computer Aided Geometric Design
Normals of subdivision surfaces and their control polyhedra
Computer Aided Geometric Design
B-spline control nets for developable surfaces
Computer Aided Geometric Design
Generating subdivision surfaces from profile curves
Computer-Aided Design
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This paper introduces a geometric constraint modelling system for 5-axes response surface graph based on free-form boundary planar curves and cross-boundary curves. Both are developed on the basis of nonperiodic B-spline curves. It is evident that generating the boundary planar curves is better done symmetrically on the main planes and the 45^o-angular planes. While, generating the cross-boundary curves require to additionally identify and involve control points on the 30^o- and 60^o-angular planes. As a result, a mesh 3x4 size on parametric R^2 Euclidean space is obtained that symmetry and equally spaced interval from the design center. Advancement of the mesh onto R^3 Euclidean space forms the control polyhedra. Then, the B-spline surface will shape uniquely to follow the polyhedra. The emerging B-spline surfaces are estimated in partial on four different R^3 Euclidean spaces that, ultimately, converge as a composite 5-axes response surface graph.