AIR-HLoc: Adaptive Image Retrieval for Efficient Visual Localisation

State-of-the-art (SOTA) hierarchical localisation pipelines (HLoc) rely on image retrieval (IR) techniques to establish 2D-3D correspondences by selecting the $k$ most similar images from a reference image database for a given query image. Although higher values of $k$ enhance localisation robustness, the computational cost for feature matching increases linearly with $k$. In this paper, we observe that queries that are the most similar to images in the database result in a higher proportion of feature matches and, thus, more accurate positioning. Thus, a small number of images is sufficient for queries very similar to images in the reference database. We then propose a novel approach, AIR-HLoc, which divides query images into different localisation difficulty levels based on their similarity to the reference image database. We consider an image with high similarity to the reference image as an easy query and an image with low similarity as a hard query. Easy queries show a limited improvement in accuracy when increasing $k$. Conversely, higher values of $k$ significantly improve accuracy for hard queries. Given the limited improvement in accuracy when increasing $k$ for easy queries and the significant improvement for hard queries, we adapt the value of $k$ to the query's difficulty level. Therefore, AIR-HLoc optimizes processing time by adaptively assigning different values of $k$ based on the similarity between the query and reference images without losing accuracy. Our extensive experiments on the Cambridge Landmarks, 7Scenes, and Aachen Day-Night-v1.1 datasets demonstrate our algorithm's efficacy, reducing 30\%, 26\%, and 11\% in computational overhead while maintaining SOTA accuracy compared to HLoc with fixed image retrieval.