Odometry Without Correspondence from Inertially Constrained Ruled Surfaces

TL;DR

This paper introduces a novel visual odometry method that reconstructs 3D scenes using ruled surfaces formed by straight lines, constrained by IMU data, eliminating the need for point-to-point correspondence.

Contribution

It proposes a new algorithm that leverages ruled surfaces and inertial constraints to perform odometry without relying on traditional feature correspondence.

Findings

Reduces computational complexity by avoiding correspondence.

Improves robustness by using ruled surface analysis.

Integrates IMU data to constrain surface estimation.

Abstract

Visual odometry techniques typically rely on feature extraction from a sequence of images and subsequent computation of optical flow. This point-to-point correspondence between two consecutive frames can be costly to compute and suffers from varying accuracy, which affects the odometry estimate's quality. Attempts have been made to bypass the difficulties originating from the correspondence problem by adopting line features and fusing other sensors (event camera, IMU) to improve performance, many of which still heavily rely on correspondence. If the camera observes a straight line as it moves, the image of the line sweeps a smooth surface in image-space time. It is a ruled surface and analyzing its shape gives information about odometry. Further, its estimation requires only differentially computed updates from point-to-line associations. Inspired by event cameras' propensity for edge detection, this research presents a novel algorithm to reconstruct 3D scenes and visual odometry from these ruled surfaces. By constraining the surfaces with the inertia measurements from an onboard IMU sensor, the dimensionality of the solution space is greatly reduced.