Spiral pocketing by conformal mappings

Pocketing is usual in numerical control (NC) machining applications like die and mould operations. The usual parallel cuts or offset curves strategies show C1 discontinuities, thus they are not well fitted for high speed machining. In order to alleviate this drawback, we propose a C proportional to path that fills a target region and it is computed via a conformal mapping of an Archimedes' spiral. Regarding continuity, machining time and overcut, our spirals are adequate if they are compared to CAM system strategies.