Sinker EDM Machining Condition Determination via Cavity Model Tessellation

The patent applies universality by creating a single computation method that works for all tool electrode geometries. The method represents both the tool electrode and workpiece as solid models, calculates their difference to generate a cavity model, and uses mesh generation with projection techniques. This universal approach eliminates the need for multiple geometry-specific computation methods while maintaining high calculation accuracy for machining area determination.

The patent applies segmentation by dividing the complex geometry calculation into discrete manageable steps: representing tool electrode and workpiece as solid models, calculating their difference, generating a mesh of polygons from the cavity model, and projecting these polygons onto a reference plane. This segmentation transforms an intractable complex geometry problem into a series of solvable computational steps that work universally for any geometry.

The patent applies preliminary action by pre-generating a mesh of polygons from the cavity model before performing the actual machining area calculation. The mesh is created by representing the tool electrode and workpiece as solid models, calculating their difference, and generating a polygonal representation. This preliminary mesh generation eliminates the need for iterative calculations during the actual machining condition determination, significantly reducing computation time while maintaining accuracy.

The patent replaces iterative numerical methods (mechanical/computational iteration) with a direct geometric calculation approach. Instead of using iterative methods like Newton-Raphson that require repeated calculations, the patent uses solid model difference calculation and mesh projection, which provide direct solutions. This substitution eliminates iterative convergence requirements and dramatically reduces computation time.