publication . Article . 2017

Automatic fitting of conical envelopes to free-form surfaces for flank CNC machining

Pengbo Bo; Michael Bartoň; Helmut Pottmann;
Open Access English
  • Published: 01 Oct 2017
  • Country: Spain
Abstract We propose a new algorithm to detect patches of free-form surfaces that can be well approximated by envelopes of a rotational cone under a rigid body motion. These conical envelopes are a preferable choice from the manufacturing point of view as they are, by-definition, manufacturable by computer numerically controlled (CNC) machining using the efficient flank (peripheral) method with standard conical tools. Our geometric approach exploits multi-valued vector fields that consist of vectors in which the point-surface distance changes linearly. Integrating such vector fields gives rise to a family of integral curves, and, among them, linear segments that ...
Persistent Identifiers
free text keywords: 5-axis CNC machining, flank milling, free-form surface, tangential movability, shape manufacturing, Conical surface, Rigid body, Machining, Geometry, Numerical control, Free form, Vector field, Flank, Engineering, business.industry, business
Related Organizations
Funded by
Geometric Manufacturing Solutions for Freeform Shapes
  • Funder: European Commission (EC)
  • Project Code: 286426
  • Funding stream: FP7 | SP3 | PEOPLE
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