Solving the perspective-three-point problem using comprehensive Gröbner systems
type: Item
instance of: scholarly article
title: Solving the perspective-three-point problem using comprehensive Gröbner systems
zbMATH Open document ID: 1388.13059
author: Jie Zhou
author: Dingkang Wang
published in: Journal of Systems Science and Complexity
publication date: 2018-01-25T00:00:00Z
review text: The article presents the solution to the Perspective-Three-Point (P3P) problem, a classic in several engineering fields, combining Comprehensive Gröbner Systems (CGS) and the discriminant sequence; the former provides the structure of the solution space, and the latter provides the number of distinct real positive solutions. First, the problem is stated as solving a certain quadratic parametric polynomial system of two equations. Then the CGS calculation results in thirteen branches for which the number of complex solutions is determined. Finally, each branch is studied in detail to determine the number of real solutions.
reviewed by: David Sevilla
Mathematics Subject Classification ID: 13P10
Mathematics Subject Classification ID: 68T45
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 6829747
zbMATH Keywords: perspective-three-point problem
zbMATH Keywords: comprehensive Gröbner system
zbMATH Keywords: parametric polynomial system
zbMATH Keywords: computer vision
zbMATH Keywords: location determination
describes a project that uses: EPnP
MaRDI profile type: Publication
full work available at URL: s11424-015-4310-y
OpenAlex ID: W2341546573
cites work: PnP problem revisited
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DOI: 10.1007/S11424-015-4310-Y
description: scientific article; zbMATH DE number 6829747