Influence of surface shape in admissible tool positions in 5-axis face milling
Computer-Aided Design
Numerical control milling machine toolpath generation for regions bounded by free form curves and surfaces
SIAM Review
Geodesic curve computations on surfaces
Computer Aided Geometric Design
Industrial geometry: recent advances and applications in CAD
Computer-Aided Design
Iso-scallop trajectory generation for the 5-axis machining of an impeller
ICIRA'11 Proceedings of the 4th international conference on Intelligent Robotics and Applications - Volume Part II
Iso-parametric tool-path planning for point clouds
Computer-Aided Design
Tool-adaptive offset paths on triangular mesh workpiece surfaces
Computer-Aided Design
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In free-form surface milling, cusps on a part surface need to be regulated. They should be small enough for precision purposes. On the other hand, we should maintain high enough cusps so as not to waste effort making unnecessary cuts. A widely accepted practice is to maintain a constant cusp height over the surface. This paper introduces a new approach to generating constant cusp height tool paths. First, we define a Riemannian manifold by assigning a new metric to a part surface without embedding. This new metric is constructed from the curvature tensors of a part and a tool surface, which we refer to as a cusp-metric. Then, we construct geodesic parallels on the new Riemannian manifold. We prove that a selection from such a family of geodesic parallels constitutes a ''rational'' approximation of accurate constant cusp height tool paths.