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On the Computational Geometry of Pocket Machining

  • Book
  • © 1991

Overview

Authors:
  1. Martin Held
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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 500)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XII
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  2. Chapter I Introduction

    • Martin Held
    Pages 3-16

  3. Chapter 2 Survey of contour-parallel Milling

    • Martin Held
    Pages 17-36

  4. Chapter 3 Survey of direction-parallel milling

    • Martin Held
    Pages 37-52

  5. Chapter 4 Preliminaries

    • Martin Held
    Pages 53-60

  6. Chapter 5 Computing Voronoi diagrams

    • Martin Held
    Pages 63-88

  7. Chapter 6 Implementation issues

    • Martin Held
    Pages 89-101

  8. Chapter 7 The concept of monotonous areas

    • Martin Held
    Pages 103-114

  9. Chapter 8 Generating the tool path

    • Martin Held
    Pages 115-126

  10. Chapter 9 Constructing the mesh

    • Martin Held
    Pages 129-137

  11. Chapter 10 Generating the tool path

    • Martin Held
    Pages 139-146

  12. Back Matter

    Pages 147-180
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Keywords

About this book

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.

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