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An Efficient Solution to the Five-Point Relative Pose Problem

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Algorithm
Five-Point Relative Pose Algorithm

Abstract

An efficient algorithmic solution to the classical five-point relative pose problem is presented. The problem is to find the possible solutions for relative camera motion between two calibrated views given five corresponding points. The algorithm consists of computing the coefficients of a tenth degree polynomial and subsequently finding its roots. It is the first algorithm well suited for numerical implementation that also corresponds to the inherent complexity of the problem. The algorithm is used in a robust hypothesise-and-test framework to estimate structure and motion in real-time.

Summary

Provides a practical calibrated five-point relative-pose solver by reducing the minimal problem to a tenth-degree polynomial. The method became a standard minimal solver inside RANSAC-based structure-from-motion and visual-odometry systems.

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