On the Computational Geometry of Pocket Machining (Paperback)

Martin Held

ISBN 10: 3540541039 / ISBN 13: 9783540541035

Published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 1991

About this Item

Paperback. In this monograph the author presents a thorough computational geometry approach to handling theoretical and practical problems arising from numerically controlled pocket machining. The approach unifies two scientific disciplines: computational geometry and mechanical engineering. Topics of practical importance that are dealt with include the selection of tool sizes, the determination of tool paths, and the optimization of tool paths. Full details of the algorithms are given from a practical point of view, including information on implementation issues. This practice-minded approach is embedded in a rigorous theoretical framework enabling concise statement of definitions and proof of the correctness and efficiency of the algorithms. In particular, the construction of Voronoi diagrams and their use for offset calculations are investigated in great detail. Based on Voronoi diagrams, a graph-like structure is introduced that serves as a high-level abstraction of the pocket geometry and provides the basis for algorithmically performing shape interrogation and path planning tasks. Finally, the efficiency and robustness of the approach is illustrated with figures showing pocketing examples that have been processed by the author's own implementation. This monograph presents a geometrical investigation of practical and theoretical problems arising from NC pocket machining. Practical topics include selection of tool sizes and determination of optimal tool paths. A theoretical framework based on Voronoi diagrams is given. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9783540541035

Bibliographic Details

• Title: On the Computational Geometry of Pocket Machining (Paperback)
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin
• Publication Date: 1991
• Language: English
• ISBN 10: 3540541039
• ISBN 13: 9783540541035
• Binding: Paperback
• Condition: new

About this title

Synopsis

In this monograph the author presents a thorough computational geometry approach to handling theoretical and practical problems arising from numerically controlled pocket machining. The approach unifies two scientific disciplines: computational geometry and mechanical engineering. Topics of practical importance that are dealt with include the selection of tool sizes, the determination of tool paths, and the optimization of tool paths. Full details of the algorithms are given from a practical point of view, including information on implementation issues. This practice-minded approach is embedded in a rigorous theoretical framework enabling concise statement of definitions and proof of the correctness and efficiency of the algorithms. In particular, the construction of Voronoi diagrams and their use for offset calculations are investigated in great detail. Based on Voronoi diagrams, a graph-like structure is introduced that serves as a high-level abstraction of the pocket geometry and provides the basis for algorithmically performing shape interrogation and path planning tasks. Finally, the efficiency and robustness of the approach is illustrated with figures showing pocketing examples that have been processed by the author's own implementation.