Solving the perspective-three-point problem using comprehensive Gröbner systems
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.
scientific article; zbMATH DE number 6829747