Precise algebraic-based swept volumes for arbitrary free-form shaped tools towards multi-axis CNC machining verification

Dr. Jinesh Machchhar Computer Science Department, Technion-Israel Institute of Technology Precise Algebraic-based Swept Volumes for Arbitrary Free-form Shaped Tools towards Multi-axis CNC Machining Verification This work presents an algebraic based approach and a computational framework for the simulation of multiaxis 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. This work is jointly done with Gershon Elber and Denys Plakhotnik.