Applied combinatorics
Generation of non-degenerate meshes
USSR Computational Mathematics and Mathematical Physics
Numerical solution of the quasilinear Poisson equation in a nonuniform triangle mesh
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
A variational form of the Winslow grid generator
Journal of Computational Physics
On the tool-path optimization of a milling robot
Computers and Industrial Engineering
Grid generation as applied to optimize cutting operations of the five-axis milling machine
Applied Numerical Mathematics - Special issue: Applied numerical computing: Grid generation and solution methods for advanced simulations
Adaptive restoration of complex geometry parts through reverse engineering application
Advances in Engineering Software
Introduction to Automata Theory, Languages, and Computation (3rd Edition)
Introduction to Automata Theory, Languages, and Computation (3rd Edition)
Kinematics Constrained Toolpath Planning for Five-Axis Machines
ICIRA '08 Proceedings of the First International Conference on Intelligent Robotics and Applications: Part II
Inverse velocity analysis for line guidance five-axis robots
Robotics and Computer-Integrated Manufacturing
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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The paper presents a new combination of two methods for tool path generation for five-axis machining proposed earlier by the authors. The first method is based on the grid generation technologies whereas the second method exploits the space-filling curve approach. Combination of the two techniques is superior with regard to the conventional methods and with regard to the case when the two methods are applied independently. In particular the algorithm allows us to generate tool paths for workpieces with complex boundaries as well as when the scallop and gouging constraints are changing sharply and irregularly. In this case the conventional methods are inefficient, whereas the proposed algorithms construct the required tool path and reduce the length of the path and the time of the machining. The numerical experiments are complemented by the real machining as well as by the test simulations on the Unigraphics 18.