### Abstract

A polyhedral object in 3-dimensional space is often well represented by a set of points and line segments that act as its features. By a nice viewpoint of an object we mean a projective view in which all (or most) of the features of the object, relevant for some task, are clearly visible. Such a view is often called a non-degenerate view or projection. In this paper we are concerned with computing non-degenerate orthogonal and perspective projections of sets of points and line segments (objects) in 3-dimensional space. We outline the areas in which such problems arise, discuss recent research on the computational complexity of these problems, illustrate the fundamental ideas used in the design of algorithms for computing non-degenerate projections, and provide pointers to the literature where the results can be found.

Original language | English (US) |
---|---|

Pages (from-to) | 1-11 |

Number of pages | 11 |

Journal | Proceedings of SPIE - The International Society for Optical Engineering |

Volume | 4117 |

DOIs | |

State | Published - 2000 |

Event | Vision Geometry IX - San Diego, CA, USA Duration: Jul 30 2000 → Jul 31 2000 |

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Computer Science Applications
- Applied Mathematics
- Electrical and Electronic Engineering