Precise algebraic-based swept volumes for arbitrary free-form shaped tools towards multi-axis CNC machining verification |
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Affiliation: | 1. Department of Computer Science, Technion Israel Institute of Technology, Israel;2. ModuleWorks GmbH, Germany |
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Abstract: | This paper presents an algebraic based approach and a computational framework for the simulation of multi-axis CNC machining of general freeform tools. The boundary of the swept volume of the tool is precisely modeled by a system of algebraic constraints, using B-spline basis functions. Subdivision-based solvers are then employed to solve these equations, resulting in a topologically guaranteed construction of the swept volume. The presented algebraic-based method readily generalizes to accept tools of arbitrary free-form shape as input, and at the same time, delivers high degree of precision.Being a common representation in CNC simulations, the computed swept volume can be reduced to a dexels’ representation. Several multi-axis test cases are exhibited using an implementation of our algorithm, demonstrating the robustness and efficacy of our approach. |
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Keywords: | Algebraic constraints Envelopes B-spline surfaces Simulation Dexel grids |
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