Adaptive grids and grids on surfaces
Computational Mathematics and Mathematical Physics
A note on degenerate normal vectors
Computer Aided Geometric Design
The construction of structured adaptive grids—a review
Computational Mathematics and Mathematical Physics
Optimization and correction of the tool path of the five-axis milling machine
Mathematics and Computers in Simulation
Curvilinear space-filling curves for five-axis machining
Computer-Aided Design
Mathematics and Computers in Simulation
Computers and Industrial Engineering
Optimal grids for five-axis machining
Mathematics and Computers in Simulation
Minimization of the kinematics error for five-axis machining
Computer-Aided Design
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We present a new approach to tool-path optimization of milling robots based on a global interpolation of the required surface by a virtual surface composed from tool trajectories. The procedure combines inverse kinematics techniques and a variational gridding method endowed with constraints related to the required scallop height. We demonstrate the capability of the proposed technique to generate a tool-path for workpieces with complex geometries comprising 'islands' or boundaries with sharp edges requiring a combined spiral-zigzag pattern.Our technique provides a significant increase in the accuracy of milling.