## Boundary Representation Modelling TechniquesBoundary representation is the principal solid modelling method used in modern CAD/CAM systems. There have been a long series of developments on which currently available systems are based, full details of which are only partially known. Ian Stroud’s thorough coverage of these developments puts this technology in perspective. It includes: - data structures
- algorithms and other related techniques including non-manifold modelling
- product modelling
- graphics
- disc files and data exchange
- some applications related topics.
A basic knowledge of the technique will make it easier to use kernel modelling packages for application developments. Ian Stroud started working with boundary representation solid modelling in 1977. Since then he has researched and is researching a wide variety of topics in and around this field. The information in the book comes from the results of this research. |

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### Contents

1 | |

11 | |

Datastructures and tools | 29 |

Euler operators | 83 |

Special representations | 93 |

Stepwise modelling algorithms | 125 |

Modelling operator definition | 215 |

Product modelling | 253 |

Applications | 453 |

The Medial Axis Transform | 535 |

Miscellaneous aspects of modelling | 603 |

B Datastructure traversals | 643 |

Topological utilities | 665 |

Geometrical utilities | 673 |

E General utilities | 709 |

F Euler operators | 719 |

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### Common terms and phrases

adjacent algorithm assembly axis B-rep B-spline basic Bézier curve Boolean operations boundary boundary representation calculated chapter COEDGE cogeom command concave edges connected control points convex counter-clockwise created cube curve cylinder datastructure defined degenerate models described in section Dual space edge Figure edges and vertices elements end vertex end vertices entity Euler operators example extra face facegroup facet feature functions geometry graphics handled hole-loop illustrated in figure implementation INTEGER intersection joining loop loop-edge links marker bits matching edges medial axis merged method modelling operations modelling system necessary node non-manifold non-manifold model normal NULL offset plane Pointer possible problem produce quadric representation rese result seam separate shape sheet object shell shown in figure slot solid modelling sphere split structure supplied edge surface normal sweeping swept tangent topology torus traversal types vector winged-edge links wire edges wireframe wireframe models xdir xlink