A Hierarchical Dynamic Voxel and Implicit SDF Framework for Efficient Boolean Subtraction in Five-Axis Machining Simulation
摘要
To address the challenges of complex multi-degree-of-freedom tool motion modeling and the low efficiency of Boolean difference operations during dynamic material removal in five-axis machining simulation, this paper proposes an optimized implicit voxel Boolean subtraction method based on a hierarchical dynamic voxel model and implicit signed distance fields. A hierarchical discretization strategy is employed to enhance the voxel space structure, while the signed distance field is used to uniformly represent both the geometric features of the tool and its motion trajectory. A dynamic block-based Boolean difference framework is constructed to achieve high-precision geometric modeling and high-frame-rate real-time interaction under complex cutting conditions. Experimental results demonstrate that the proposed method significantly reduces the spatiotemporal complexity of Boolean operations in large-scale voxel environments. An implicit projection correction algorithm is introduced to accurately resolve the three-dimensional boundary evolution caused by dynamic changes in tool posture during five-axis machining. This method effectively supports the verification of multi-degree-of-freedom machining processes for complex surface parts such as aero-engine blades. The results show that, by optimizing the implicit voxel Boolean difference mechanism, the proposed approach not only preserves geometric continuity but also achieves a substantial improvement in Boolean operation efficiency compared to conventional methods, providing a key technological foundation for efficient process verification in five-axis CNC systems.