### Abstract

Computational and quantitative real algebraic geometry studies various algorithmic and quantitative questions dealing with the real solutions of a system of equalities, inequalities, and inequations of polynomials over the real numbers. This emerging field is largely motivated by the power and elegance with which it solves a broad and general class of problems arising in robotics, vision, computer-aided design, geometric theorem proving, etc.

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

Title of host publication | Handbook of Discrete and Computational Geometry, Third Edition |

Publisher | CRC Press |

Pages | 969-1002 |

Number of pages | 34 |

ISBN (Electronic) | 9781498711425 |

ISBN (Print) | 9781498711395 |

DOIs | |

State | Published - Jan 1 2017 |

### ASJC Scopus subject areas

- Computer Science(all)
- Mathematics(all)

## Fingerprint Dive into the research topics of 'Computational and quantitative real algebraic geometry'. Together they form a unique fingerprint.

## Cite this

Basu, S., & Mishra, B. (2017). Computational and quantitative real algebraic geometry. In

*Handbook of Discrete and Computational Geometry, Third Edition*(pp. 969-1002). CRC Press. https://doi.org/10.1201/9781315119601