Computational and quantitative real algebraic geometry

Saugata Basu, Bhubaneswar Mishra

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish (US)
Title of host publicationHandbook of Discrete and Computational Geometry, Third Edition
PublisherCRC Press
Pages969-1002
Number of pages34
ISBN (Electronic)9781498711425
ISBN (Print)9781498711395
DOIs
StatePublished - Jan 1 2017

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ASJC Scopus subject areas

  • Computer Science(all)
  • Mathematics(all)

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